What Is The Least Common Multiple Of 16 And 28

Mar 13, 2025 by ADMIN 47 views

What is the Least Common Multiple (LCM) of 16 and 28?

Introduction

The concept of the least common multiple (LCM) is a fundamental aspect of mathematics, particularly in the realm of number theory. It is a crucial tool for solving problems involving fractions, decimals, and percentages. In this article, we will delve into the world of LCMs and explore the concept of finding the LCM of two numbers, specifically 16 and 28.

What is the Least Common Multiple (LCM)?

The LCM of two numbers is the smallest number that is a multiple of both numbers. In other words, it is the smallest number that can be divided evenly by both numbers. The LCM is an essential concept in mathematics, as it helps us to simplify fractions, decimals, and percentages.

Factors and Multiples

Before we dive into finding the LCM of 16 and 28, let's briefly discuss the concepts of factors and multiples. A factor of a number is a whole number that divides the number without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. A multiple of a number is the product of the number and an integer. For example, the multiples of 5 are 5, 10, 15, 20, and so on.

Finding the LCM of 16 and 28

To find the LCM of 16 and 28, we need to first list the multiples of each number.

Multiples of 16

The multiples of 16 are:

16
32
48
64
80
96
112
128
144
160
176
192
208
224
240
256
272
288
304
320
336
352
368
384
400
416
432
448
464
480
496
512
528
544
560
576
592
608
624
640
656
672
688
704
720
736
752
768
784
800
816
832
848
864
880
896
912
928
944
960
976
992
1008
1024
1040
1056
1072
1088
1104
1120
1136
1152
1168
1184
1200
1216
1232
1248
1264
1280
1296
1304
1312
1320
1328
1344
1352
1360
1368
1376
1384
1392
1400
1408
1416
1424
1432
1440
1448
1456
1464
1472
1480
1488
1496
1504
1512
1520
1528
1536
1544
1552
1560
1568
1576
1584
1592
1600
1608
1616
1624
1632
1640
1648
1656
1664
1672
1680
1688
1696
1704
1712
1720
1728
1736
1744
1752
1760
1768
1776
1784
1792
1800
1808
1816
1824
1832
1840
1848
1856
1864
1872
1880
1888
1896
1904
1912
1920
1928
1936
1944
1952
1960
1968
1976
1984
1992
2000
2008
2016
2024
2032
2040
2048
2056
2064
2072
2080
2088
2096
2104
2112
2120
2128
2136
2144
2152
2160
2168
2176
2184
2192
2200
2208
2216
2224
2232
2240
2248
2256
2264
2272
2280
2288
2296
2304
2312
2320
2328
2336
2344
2352
2360
2368
2376
2384
2392
2400
2408
2416
2424
2432
2440
2448
2456
2464
2472
2480
2488
2496
2504
2512
2520
2528
2536
2544
2552
2560
2568
2576
2584
2592
2600
2608
2616
2624
2632
2640
2648
2656
2664
2672
2680
2688
2696
2704
2712
2720
2728
2736
2744
2752
2760
2768
2776
2784
2792
2800
2808
2816
2824
2832
2840
2848
2856
2864
2872
2880
2888
2896
2904
2912
2920
2928
2936
2944
2952
2960
2968
2976
2984
2992
3000
3008
3016
3024
3032
3040
3048
3056
3064
3072
3080
3088
3096
3104
3112
3120
3128
3136
3144
3152
3160
3168
3176
3184
3192
3200
3208
3216
3224
3232
3240
3248
3256
3264
3272
3280
3288
3296
3304
3312
3320
3328
3336
3344
3352
3360
3368
3376
3384
3392
3400
3408
3416
3424
3432
3440
3448
3456
3464
3472
3480
3488
3496 *

Q&A: Finding the LCM of 16 and 28

Q: What is the LCM of 16 and 28?

A: The LCM of 16 and 28 is the smallest number that is a multiple of both 16 and 28.

Q: How do I find the LCM of 16 and 28?

A: To find the LCM of 16 and 28, we need to first list the multiples of each number. We can then identify the smallest number that is a multiple of both numbers.

Q: What are the multiples of 16?

A: The multiples of 16 are: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, 432, 448, 464, 480, 496, 512, 528, 544, 560, 576, 592, 608, 624, 640, 656, 672, 688, 704, 720, 736, 752, 768, 784, 800, 816, 832, 848, 864, 880, 896, 912, 928, 944, 960, 976, 992, 1008, 1024, 1040, 1056, 1072, 1088, 1104, 1120, 1136, 1152, 1168, 1184, 1200, 1216, 1232, 1248, 1264, 1280, 1296, 1304, 1312, 1320, 1328, 1344, 1352, 1360, 1368, 1376, 1384, 1392, 1400, 1408, 1416, 1424, 1432, 1440, 1448, 1456, 1464, 1472, 1480, 1488, 1496, 1504, 1512, 1520, 1528, 1536, 1544, 1552, 1560, 1568, 1576, 1584, 1592, 1600, 1608, 1616, 1624, 1632, 1640, 1648, 1656, 1664, 1672, 1680, 1688, 1696, 1704, 1712, 1720, 1728, 1736, 1744, 1752, 1760, 1768, 1776, 1784, 1792, 1800, 1808, 1816, 1824, 1832, 1840, 1848, 1856, 1864, 1872, 1880, 1888, 1896, 1904, 1912, 1920, 1928, 1936, 1944, 1952, 1960, 1968, 1976, 1984, 1992, 2000, 2008, 2016, 2024, 2032, 2040, 2048, 2056, 2064, 2072, 2080, 2088, 2096, 2104, 2112, 2120, 2128, 2136, 2144, 2152, 2160, 2168, 2176, 2184, 2192, 2200, 2208, 2216, 2224, 2232, 2240, 2248, 2256, 2264, 2272, 2280, 2288, 2296, 2304, 2312, 2320, 2328, 2336, 2344, 2352, 2360, 2368, 2376, 2384, 2392, 2400, 2408, 2416, 2424, 2432, 2440, 2448, 2456, 2464, 2472, 2480, 2488, 2496, 2504, 2512, 2520, 2528, 2536, 2544, 2552, 2560, 2568, 2576, 2584, 2592, 2600, 2608, 2616, 2624, 2632, 2640, 2648, 2656, 2664, 2672, 2680, 2688, 2696, 2704, 2712, 2720, 2728, 2736, 2744, 2752, 2760, 2768, 2776, 2784, 2792, 2800, 2808, 2816, 2824, 2832, 2840, 2848, 2856, 2864, 2872, 2880, 2888, 2896, 2904, 2912, 2920, 2928, 2936, 2944, 2952, 2960, 2968, 2976, 2984, 2992, 3000, 3008, 3016, 3024, 3032, 3040, 3048, 3056, 3064, 3072, 3080, 3088, 3096, 3104, 3112, 3120, 3128, 3136, 3144, 3152, 3160, 3168, 3176, 3184, 3192, 3200, 3208, 3216, 3224, 3232, 3240, 3248, 3256, 3264, 3272, 3280, 3288, 3296, 3304, 3312, 3320, 3328, 3336, 3344, 3352, 3360, 3368, 3376, 3384, 3392, 3400, 3408, 3416, 3424, 3432, 3440, 3448, 3456, 3464, 3472, 3480, 3488, 3496, 3504, 3512, 3520, 3528, 3536, 3544, 3552, 3560, 3568, 3576, 3584, 3592, 3600, 3608, 3616, 3624, 3632, 3640, 3648, 3656, 3664, 3672, 3680, 3688, 3696, 3704, 3712, 3720, 3728, 3736, 3744, 3752, 3760, 3768, 3776, 3784, 3792, 3800, 3808, 3816, 3824, 3832, 3840, 3848, 3856, 3864, 3872, 3880, 3888, 3896, 3904, 3912, 3920, 3928, 3936, 3944, 3952, 3960, 3968, 3976, 3984, 3992, 4000, 4008, 4016, 4024, 4032, 4040, 4048, 4056, 4064, 4072, 4080, 4088, 4096, 4104, 4112, 4120, 4128, 4136, 4144, 4152, 4160, 4168, 4176, 4184, 4192, 4200, 4208, 4216, 4224, 4232, 4240, 4248, 4256, 4264, 4272, 4280, 4288, 4296, 4304, 4312, 4320, 4328, 4336, 4344, 4352, 4360, 4368, 4376, 4384, 4392, 4400, 4408, 4416, 4424, 4432, 4440, 4448, 4456, 4464, 4472, 4480, 4488, 4496, 4504, 4512, 4520, 4528, 4536, 4544, 4552, 4560, 4568, 457