LCM for 16 and 32

The first method to find LCM for numbers 16 and 32 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 16 and 32 is 16, so

LCM = (16 × 32) ÷ 16

LCM = 512 ÷ 16

LCM = 32

The second method to find LCM for numbers 16 and 32 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 16: 16, 32, 48, 64

Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, 544, 576, 608, 640, 672, 704, 736, 768, 800, 832, 864, 896, 928, 960, 992, 1024, 1056, 1088, 1120, 1152, 1184, 1216, 1248, 1280, 1312, 1344, 1376, 1408, 1440, 1472, 1504, 1536, 1568, 1600, 1632, 1664, 1696, 1728, 1760, 1792, 1824, 1856, 1888, 1920, 1952, 1984, 2016, 2048, 2080, 2112, 2144, 2176, 2208, 2240, 2272, 2304, 2336, 2368, 2400, 2432, 2464, 2496, 2528, 2560, 2592, 2624, 2656, 2688, 2720, 2752, 2784, 2816, 2848, 2880, 2912, 2944, 2976, 3008, 3040, 3072, 3104, 3136, 3168, 3200, 3232, 3264, 3296, 3328, 3360, 3392, 3424, 3456, 3488, 3520, 3552, 3584, 3616, 3648, 3680, 3712, 3744, 3776, 3808, 3840, 3872, 3904, 3936, 3968, 4000, 4032, 4064, 4096, 4128, 4160, 4192, 4224, 4256, 4288, 4320, 4352, 4384, 4416, 4448, 4480, 4512, 4544, 4576, 4608, 4640, 4672, 4704, 4736, 4768, 4800, 4832, 4864, 4896, 4928, 4960, 4992, 5024, 5056, 5088, 5120, 5152, 5184, 5216, 5248, 5280, 5312, 5344, 5376, 5408, 5440, 5472, 5504, 5536, 5568, 5600, 5632, 5664, 5696, 5728, 5760, 5792, 5824, 5856, 5888, 5920, 5952, 5984, 6016, 6048, 6080, 6112, 6144, 6176, 6208, 6240, 6272, 6304, 6336, 6368, 6400, 6432, 6464, 6496, 6528, 6560, 6592, 6624, 6656, 6688, 6720, 6752, 6784, 6816, 6848, 6880, 6912, 6944, 6976, 7008, 7040, 7072, 7104, 7136, 7168, 7200, 7232, 7264, 7296, 7328, 7360, 7392, 7424, 7456, 7488, 7520, 7552, 7584, 7616, 7648, 7680, 7712, 7744, 7776, 7808, 7840, 7872, 7904, 7936, 7968, 8000, 8032, 8064, 8096, 8128, 8160, 8192, 8224, 8256, 8288, 8320, 8352, 8384, 8416, 8448, 8480, 8512, 8544, 8576, 8608, 8640, 8672, 8704, 8736, 8768, 8800, 8832, 8864, 8896, 8928, 8960, 8992, 9024, 9056, 9088, 9120, 9152, 9184, 9216, 9248, 9280, 9312, 9344, 9376, 9408, 9440, 9472, 9504, 9536, 9568, 9600, 9632, 9664, 9696, 9728, 9760, 9792, 9824, 9856, 9888, 9920, 9952, 9984, 10016, 10048, 10080, 10112, 10144, 10176, 10208, 10240, 10272, 10304, 10336, 10368, 10400, 10432, 10464, 10496, 10528, 10560, 10592, 10624, 10656, 10688, 10720, 10752, 10784, 10816, 10848, 10880, 10912, 10944, 10976, 11008, 11040, 11072, 11104, 11136, 11168, 11200, 11232, 11264, 11296, 11328, 11360, 11392, 11424, 11456, 11488, 11520, 11552, 11584, 11616, 11648, 11680, 11712, 11744, 11776, 11808, 11840, 11872, 11904, 11936, 11968, 12000, 12032, 12064, 12096, 12128, 12160, 12192, 12224, 12256, 12288, 12320, 12352, 12384, 12416, 12448, 12480, 12512, 12544, 12576, 12608, 12640, 12672, 12704, 12736, 12768, 12800, 12832, 12864, 12896, 12928, 12960, 12992, 13024, 13056, 13088, 13120, 13152, 13184, 13216, 13248, 13280, 13312, 13344, 13376, 13408, 13440, 13472, 13504, 13536, 13568, 13600, 13632, 13664, 13696, 13728, 13760, 13792, 13824, 13856, 13888, 13920, 13952, 13984, 14016, 14048, 14080, 14112, 14144, 14176, 14208, 14240, 14272, 14304, 14336, 14368, 14400, 14432, 14464, 14496, 14528, 14560, 14592, 14624, 14656, 14688, 14720, 14752, 14784, 14816, 14848, 14880, 14912, 14944, 14976, 15008, 15040, 15072, 15104, 15136, 15168, 15200, 15232, 15264, 15296, 15328, 15360, 15392, 15424, 15456, 15488, 15520, 15552, 15584, 15616, 15648, 15680, 15712, 15744, 15776, 15808, 15840, 15872, 15904, 15936, 15968, 16000, 16032, 16064, 16096, 16128, 16160, 16192, 16224, 16256, 16288, 16320, 16352, 16384, 16416, 16448, 16480, 16512, 16544, 16576, 16608, 16640, 16672, 16704, 16736, 16768, 16800, 16832, 16864, 16896, 16928, 16960, 16992, 17024, 17056, 17088, 17120, 17152, 17184, 17216, 17248, 17280, 17312, 17344, 17376, 17408, 17440, 17472, 17504, 17536, 17568, 17600, 17632, 17664, 17696, 17728, 17760, 17792, 17824, 17856, 17888, 17920, 17952, 17984, 18016, 18048, 18080, 18112, 18144, 18176, 18208, 18240, 18272, 18304, 18336, 18368, 18400, 18432, 18464, 18496, 18528, 18560, 18592, 18624, 18656, 18688, 18720, 18752, 18784, 18816, 18848, 18880, 18912, 18944, 18976, 19008, 19040, 19072, 19104, 19136, 19168, 19200, 19232, 19264, 19296, 19328, 19360, 19392, 19424, 19456, 19488, 19520, 19552, 19584, 19616, 19648, 19680, 19712, 19744, 19776, 19808, 19840, 19872, 19904, 19936, 19968, 20000, 20032, 20064, 20096, 20128, 20160, 20192, 20224, 20256, 20288, 20320, 20352, 20384, 20416, 20448, 20480, 20512, 20544, 20576, 20608, 20640, 20672, 20704, 20736, 20768, 20800, 20832, 20864, 20896, 20928, 20960, 20992, 21024, 21056, 21088, 21120, 21152, 21184, 21216, 21248, 21280, 21312, 21344, 21376, 21408, 21440, 21472, 21504, 21536, 21568, 21600, 21632, 21664, 21696, 21728, 21760, 21792, 21824, 21856, 21888, 21920, 21952, 21984, 22016, 22048, 22080, 22112, 22144, 22176, 22208, 22240, 22272, 22304, 22336, 22368, 22400, 22432, 22464, 22496, 22528, 22560, 22592, 22624, 22656, 22688, 22720, 22752, 22784, 22816, 22848, 22880, 22912, 22944, 22976, 23008, 23040, 23072, 23104, 23136, 23168, 23200, 23232, 23264, 23296, 23328, 23360, 23392, 23424, 23456, 23488, 23520, 23552, 23584, 23616, 23648, 23680, 23712, 23744, 23776, 23808, 23840, 23872, 23904, 23936, 23968, 24000, 24032, 24064, 24096, 24128, 24160, 24192, 24224, 24256, 24288, 24320, 24352, 24384, 24416, 24448, 24480, 24512, 24544, 24576, 24608, 24640, 24672, 24704, 24736, 24768, 24800, 24832, 24864, 24896, 24928, 24960, 24992, 25024, 25056, 25088, 25120, 25152, 25184, 25216, 25248, 25280, 25312, 25344, 25376, 25408, 25440, 25472, 25504, 25536, 25568, 25600, 25632, 25664, 25696, 25728, 25760, 25792, 25824, 25856, 25888, 25920, 25952, 25984, 26016, 26048, 26080, 26112, 26144, 26176, 26208, 26240, 26272, 26304, 26336, 26368, 26400, 26432, 26464, 26496, 26528, 26560, 26592, 26624, 26656, 26688, 26720, 26752, 26784, 26816, 26848, 26880, 26912, 26944, 26976, 27008, 27040, 27072, 27104, 27136, 27168, 27200, 27232, 27264, 27296, 27328, 27360, 27392, 27424, 27456, 27488, 27520, 27552, 27584, 27616, 27648, 27680, 27712, 27744, 27776, 27808, 27840, 27872, 27904, 27936, 27968, 28000, 28032, 28064, 28096, 28128, 28160, 28192, 28224, 28256, 28288, 28320, 28352, 28384, 28416, 28448, 28480, 28512, 28544, 28576, 28608, 28640, 28672, 28704, 28736, 28768, 28800, 28832, 28864, 28896, 28928, 28960, 28992, 29024, 29056, 29088, 29120, 29152, 29184, 29216, 29248, 29280, 29312, 29344, 29376, 29408, 29440, 29472, 29504, 29536, 29568, 29600, 29632, 29664, 29696, 29728, 29760, 29792, 29824, 29856, 29888, 29920, 29952, 29984, 30016, 30048, 30080, 30112, 30144, 30176, 30208, 30240, 30272, 30304, 30336, 30368, 30400, 30432, 30464, 30496, 30528, 30560, 30592, 30624, 30656, 30688, 30720, 30752, 30784, 30816, 30848, 30880, 30912, 30944, 30976, 31008, 31040, 31072, 31104, 31136, 31168, 31200, 31232, 31264, 31296, 31328, 31360, 31392, 31424, 31456, 31488, 31520, 31552, 31584, 31616, 31648, 31680, 31712, 31744, 31776, 31808, 31840, 31872, 31904, 31936, 31968, 32000, [...], 32

So the LCM for 16 and 32 is 32

Another method to find LCM for numbers 16 and 32 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors: