LCM for 4 and 8

What's the Least Common Multiple (LCM) of 4 and 8?

Answer: LCM of 4 and 8 is 8

(Eight)

Finding LCM for 4 and 8 using GCF's of these numbers

The first method to find LCM for numbers 4 and 8 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 4 and 8 is 4, so

LCM = (4 × 8) ÷ 4

LCM = 32 ÷ 4

LCM = 8

Finding LCM for 4 and 8 by Listing Multiples

The second method to find LCM for numbers 4 and 8 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 4: 4, 8, 12, 16

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376, 384, 392, 400, 408, 416, 424, 432, 440, 448, 456, 464, 472, 480, 488, 496, 504, 512, 520, 528, 536, 544, 552, 560, 568, 576, 584, 592, 600, 608, 616, 624, 632, 640, 648, 656, 664, 672, 680, 688, 696, 704, 712, 720, 728, 736, 744, 752, 760, 768, 776, 784, 792, 800, 808, 816, 824, 832, 840, 848, 856, 864, 872, 880, 888, 896, 904, 912, 920, 928, 936, 944, 952, 960, 968, 976, 984, 992, 1000, 1008, 1016, 1024, 1032, 1040, 1048, 1056, 1064, 1072, 1080, 1088, 1096, 1104, 1112, 1120, 1128, 1136, 1144, 1152, 1160, 1168, 1176, 1184, 1192, 1200, 1208, 1216, 1224, 1232, 1240, 1248, 1256, 1264, 1272, 1280, 1288, 1296, 1304, 1312, 1320, 1328, 1336, 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, 4576, 4584, 4592, 4600, 4608, 4616, 4624, 4632, 4640, 4648, 4656, 4664, 4672, 4680, 4688, 4696, 4704, 4712, 4720, 4728, 4736, 4744, 4752, 4760, 4768, 4776, 4784, 4792, 4800, 4808, 4816, 4824, 4832, 4840, 4848, 4856, 4864, 4872, 4880, 4888, 4896, 4904, 4912, 4920, 4928, 4936, 4944, 4952, 4960, 4968, 4976, 4984, 4992, 5000, 5008, 5016, 5024, 5032, 5040, 5048, 5056, 5064, 5072, 5080, 5088, 5096, 5104, 5112, 5120, 5128, 5136, 5144, 5152, 5160, 5168, 5176, 5184, 5192, 5200, 5208, 5216, 5224, 5232, 5240, 5248, 5256, 5264, 5272, 5280, 5288, 5296, 5304, 5312, 5320, 5328, 5336, 5344, 5352, 5360, 5368, 5376, 5384, 5392, 5400, 5408, 5416, 5424, 5432, 5440, 5448, 5456, 5464, 5472, 5480, 5488, 5496, 5504, 5512, 5520, 5528, 5536, 5544, 5552, 5560, 5568, 5576, 5584, 5592, 5600, 5608, 5616, 5624, 5632, 5640, 5648, 5656, 5664, 5672, 5680, 5688, 5696, 5704, 5712, 5720, 5728, 5736, 5744, 5752, 5760, 5768, 5776, 5784, 5792, 5800, 5808, 5816, 5824, 5832, 5840, 5848, 5856, 5864, 5872, 5880, 5888, 5896, 5904, 5912, 5920, 5928, 5936, 5944, 5952, 5960, 5968, 5976, 5984, 5992, 6000, 6008, 6016, 6024, 6032, 6040, 6048, 6056, 6064, 6072, 6080, 6088, 6096, 6104, 6112, 6120, 6128, 6136, 6144, 6152, 6160, 6168, 6176, 6184, 6192, 6200, 6208, 6216, 6224, 6232, 6240, 6248, 6256, 6264, 6272, 6280, 6288, 6296, 6304, 6312, 6320, 6328, 6336, 6344, 6352, 6360, 6368, 6376, 6384, 6392, 6400, 6408, 6416, 6424, 6432, 6440, 6448, 6456, 6464, 6472, 6480, 6488, 6496, 6504, 6512, 6520, 6528, 6536, 6544, 6552, 6560, 6568, 6576, 6584, 6592, 6600, 6608, 6616, 6624, 6632, 6640, 6648, 6656, 6664, 6672, 6680, 6688, 6696, 6704, 6712, 6720, 6728, 6736, 6744, 6752, 6760, 6768, 6776, 6784, 6792, 6800, 6808, 6816, 6824, 6832, 6840, 6848, 6856, 6864, 6872, 6880, 6888, 6896, 6904, 6912, 6920, 6928, 6936, 6944, 6952, 6960, 6968, 6976, 6984, 6992, 7000, 7008, 7016, 7024, 7032, 7040, 7048, 7056, 7064, 7072, 7080, 7088, 7096, 7104, 7112, 7120, 7128, 7136, 7144, 7152, 7160, 7168, 7176, 7184, 7192, 7200, 7208, 7216, 7224, 7232, 7240, 7248, 7256, 7264, 7272, 7280, 7288, 7296, 7304, 7312, 7320, 7328, 7336, 7344, 7352, 7360, 7368, 7376, 7384, 7392, 7400, 7408, 7416, 7424, 7432, 7440, 7448, 7456, 7464, 7472, 7480, 7488, 7496, 7504, 7512, 7520, 7528, 7536, 7544, 7552, 7560, 7568, 7576, 7584, 7592, 7600, 7608, 7616, 7624, 7632, 7640, 7648, 7656, 7664, 7672, 7680, 7688, 7696, 7704, 7712, 7720, 7728, 7736, 7744, 7752, 7760, 7768, 7776, 7784, 7792, 7800, 7808, 7816, 7824, 7832, 7840, 7848, 7856, 7864, 7872, 7880, 7888, 7896, 7904, 7912, 7920, 7928, 7936, 7944, 7952, 7960, 7968, 7976, 7984, 7992, 8000, [...], 8

So the LCM for 4 and 8 is 8

Finding LCM for 4 and 8 by Prime Factorization

Another method to find LCM for numbers 4 and 8 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 4: 2, 2 (exponent form: 22)

All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

23 = 8

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 4 and 8? (The answer is: 8). Select the first number (e.g. '4') and the second number (e.g. '8'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

LCM Table

Number 1Number 2LCM
18
28
38
48
58
68
78
888
98
108
11888
128
138
14856
158120
16816
178136
18872
198152
20840
218168
22888
238184
24824
258200
268104
278216
28856
298232
308120

FAQ

What's the Least Common Multiple (LCM) of 4 and 8?

LCM of 4 and 8 is 8