LCM for 12 and 24

The first method to find LCM for numbers 12 and 24 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 12 and 24 is 12, so

LCM = (12 × 24) ÷ 12

LCM = 288 ÷ 12

LCM = 24

The second method to find LCM for numbers 12 and 24 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 12: 12, 24, 36, 48

Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768, 792, 816, 840, 864, 888, 912, 936, 960, 984, 1008, 1032, 1056, 1080, 1104, 1128, 1152, 1176, 1200, 1224, 1248, 1272, 1296, 1320, 1344, 1368, 1392, 1416, 1440, 1464, 1488, 1512, 1536, 1560, 1584, 1608, 1632, 1656, 1680, 1704, 1728, 1752, 1776, 1800, 1824, 1848, 1872, 1896, 1920, 1944, 1968, 1992, 2016, 2040, 2064, 2088, 2112, 2136, 2160, 2184, 2208, 2232, 2256, 2280, 2304, 2328, 2352, 2376, 2400, 2424, 2448, 2472, 2496, 2520, 2544, 2568, 2592, 2616, 2640, 2664, 2688, 2712, 2736, 2760, 2784, 2808, 2832, 2856, 2880, 2904, 2928, 2952, 2976, 3000, 3024, 3048, 3072, 3096, 3120, 3144, 3168, 3192, 3216, 3240, 3264, 3288, 3312, 3336, 3360, 3384, 3408, 3432, 3456, 3480, 3504, 3528, 3552, 3576, 3600, 3624, 3648, 3672, 3696, 3720, 3744, 3768, 3792, 3816, 3840, 3864, 3888, 3912, 3936, 3960, 3984, 4008, 4032, 4056, 4080, 4104, 4128, 4152, 4176, 4200, 4224, 4248, 4272, 4296, 4320, 4344, 4368, 4392, 4416, 4440, 4464, 4488, 4512, 4536, 4560, 4584, 4608, 4632, 4656, 4680, 4704, 4728, 4752, 4776, 4800, 4824, 4848, 4872, 4896, 4920, 4944, 4968, 4992, 5016, 5040, 5064, 5088, 5112, 5136, 5160, 5184, 5208, 5232, 5256, 5280, 5304, 5328, 5352, 5376, 5400, 5424, 5448, 5472, 5496, 5520, 5544, 5568, 5592, 5616, 5640, 5664, 5688, 5712, 5736, 5760, 5784, 5808, 5832, 5856, 5880, 5904, 5928, 5952, 5976, 6000, 6024, 6048, 6072, 6096, 6120, 6144, 6168, 6192, 6216, 6240, 6264, 6288, 6312, 6336, 6360, 6384, 6408, 6432, 6456, 6480, 6504, 6528, 6552, 6576, 6600, 6624, 6648, 6672, 6696, 6720, 6744, 6768, 6792, 6816, 6840, 6864, 6888, 6912, 6936, 6960, 6984, 7008, 7032, 7056, 7080, 7104, 7128, 7152, 7176, 7200, 7224, 7248, 7272, 7296, 7320, 7344, 7368, 7392, 7416, 7440, 7464, 7488, 7512, 7536, 7560, 7584, 7608, 7632, 7656, 7680, 7704, 7728, 7752, 7776, 7800, 7824, 7848, 7872, 7896, 7920, 7944, 7968, 7992, 8016, 8040, 8064, 8088, 8112, 8136, 8160, 8184, 8208, 8232, 8256, 8280, 8304, 8328, 8352, 8376, 8400, 8424, 8448, 8472, 8496, 8520, 8544, 8568, 8592, 8616, 8640, 8664, 8688, 8712, 8736, 8760, 8784, 8808, 8832, 8856, 8880, 8904, 8928, 8952, 8976, 9000, 9024, 9048, 9072, 9096, 9120, 9144, 9168, 9192, 9216, 9240, 9264, 9288, 9312, 9336, 9360, 9384, 9408, 9432, 9456, 9480, 9504, 9528, 9552, 9576, 9600, 9624, 9648, 9672, 9696, 9720, 9744, 9768, 9792, 9816, 9840, 9864, 9888, 9912, 9936, 9960, 9984, 10008, 10032, 10056, 10080, 10104, 10128, 10152, 10176, 10200, 10224, 10248, 10272, 10296, 10320, 10344, 10368, 10392, 10416, 10440, 10464, 10488, 10512, 10536, 10560, 10584, 10608, 10632, 10656, 10680, 10704, 10728, 10752, 10776, 10800, 10824, 10848, 10872, 10896, 10920, 10944, 10968, 10992, 11016, 11040, 11064, 11088, 11112, 11136, 11160, 11184, 11208, 11232, 11256, 11280, 11304, 11328, 11352, 11376, 11400, 11424, 11448, 11472, 11496, 11520, 11544, 11568, 11592, 11616, 11640, 11664, 11688, 11712, 11736, 11760, 11784, 11808, 11832, 11856, 11880, 11904, 11928, 11952, 11976, 12000, 12024, 12048, 12072, 12096, 12120, 12144, 12168, 12192, 12216, 12240, 12264, 12288, 12312, 12336, 12360, 12384, 12408, 12432, 12456, 12480, 12504, 12528, 12552, 12576, 12600, 12624, 12648, 12672, 12696, 12720, 12744, 12768, 12792, 12816, 12840, 12864, 12888, 12912, 12936, 12960, 12984, 13008, 13032, 13056, 13080, 13104, 13128, 13152, 13176, 13200, 13224, 13248, 13272, 13296, 13320, 13344, 13368, 13392, 13416, 13440, 13464, 13488, 13512, 13536, 13560, 13584, 13608, 13632, 13656, 13680, 13704, 13728, 13752, 13776, 13800, 13824, 13848, 13872, 13896, 13920, 13944, 13968, 13992, 14016, 14040, 14064, 14088, 14112, 14136, 14160, 14184, 14208, 14232, 14256, 14280, 14304, 14328, 14352, 14376, 14400, 14424, 14448, 14472, 14496, 14520, 14544, 14568, 14592, 14616, 14640, 14664, 14688, 14712, 14736, 14760, 14784, 14808, 14832, 14856, 14880, 14904, 14928, 14952, 14976, 15000, 15024, 15048, 15072, 15096, 15120, 15144, 15168, 15192, 15216, 15240, 15264, 15288, 15312, 15336, 15360, 15384, 15408, 15432, 15456, 15480, 15504, 15528, 15552, 15576, 15600, 15624, 15648, 15672, 15696, 15720, 15744, 15768, 15792, 15816, 15840, 15864, 15888, 15912, 15936, 15960, 15984, 16008, 16032, 16056, 16080, 16104, 16128, 16152, 16176, 16200, 16224, 16248, 16272, 16296, 16320, 16344, 16368, 16392, 16416, 16440, 16464, 16488, 16512, 16536, 16560, 16584, 16608, 16632, 16656, 16680, 16704, 16728, 16752, 16776, 16800, 16824, 16848, 16872, 16896, 16920, 16944, 16968, 16992, 17016, 17040, 17064, 17088, 17112, 17136, 17160, 17184, 17208, 17232, 17256, 17280, 17304, 17328, 17352, 17376, 17400, 17424, 17448, 17472, 17496, 17520, 17544, 17568, 17592, 17616, 17640, 17664, 17688, 17712, 17736, 17760, 17784, 17808, 17832, 17856, 17880, 17904, 17928, 17952, 17976, 18000, 18024, 18048, 18072, 18096, 18120, 18144, 18168, 18192, 18216, 18240, 18264, 18288, 18312, 18336, 18360, 18384, 18408, 18432, 18456, 18480, 18504, 18528, 18552, 18576, 18600, 18624, 18648, 18672, 18696, 18720, 18744, 18768, 18792, 18816, 18840, 18864, 18888, 18912, 18936, 18960, 18984, 19008, 19032, 19056, 19080, 19104, 19128, 19152, 19176, 19200, 19224, 19248, 19272, 19296, 19320, 19344, 19368, 19392, 19416, 19440, 19464, 19488, 19512, 19536, 19560, 19584, 19608, 19632, 19656, 19680, 19704, 19728, 19752, 19776, 19800, 19824, 19848, 19872, 19896, 19920, 19944, 19968, 19992, 20016, 20040, 20064, 20088, 20112, 20136, 20160, 20184, 20208, 20232, 20256, 20280, 20304, 20328, 20352, 20376, 20400, 20424, 20448, 20472, 20496, 20520, 20544, 20568, 20592, 20616, 20640, 20664, 20688, 20712, 20736, 20760, 20784, 20808, 20832, 20856, 20880, 20904, 20928, 20952, 20976, 21000, 21024, 21048, 21072, 21096, 21120, 21144, 21168, 21192, 21216, 21240, 21264, 21288, 21312, 21336, 21360, 21384, 21408, 21432, 21456, 21480, 21504, 21528, 21552, 21576, 21600, 21624, 21648, 21672, 21696, 21720, 21744, 21768, 21792, 21816, 21840, 21864, 21888, 21912, 21936, 21960, 21984, 22008, 22032, 22056, 22080, 22104, 22128, 22152, 22176, 22200, 22224, 22248, 22272, 22296, 22320, 22344, 22368, 22392, 22416, 22440, 22464, 22488, 22512, 22536, 22560, 22584, 22608, 22632, 22656, 22680, 22704, 22728, 22752, 22776, 22800, 22824, 22848, 22872, 22896, 22920, 22944, 22968, 22992, 23016, 23040, 23064, 23088, 23112, 23136, 23160, 23184, 23208, 23232, 23256, 23280, 23304, 23328, 23352, 23376, 23400, 23424, 23448, 23472, 23496, 23520, 23544, 23568, 23592, 23616, 23640, 23664, 23688, 23712, 23736, 23760, 23784, 23808, 23832, 23856, 23880, 23904, 23928, 23952, 23976, 24000, [...], 24

So the LCM for 12 and 24 is 24

Another method to find LCM for numbers 12 and 24 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors: