LCM for 32 and 64
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 32 and 64?
(Sixty-four)
Finding LCM for 32 and 64 using GCF's of these numbers
The first method to find LCM for numbers 32 and 64 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 32 and 64 is 32, so
LCM = (32 × 64) ÷ 32
LCM = 2048 ÷ 32
LCM = 64
Finding LCM for 32 and 64 by Listing Multiples
The second method to find LCM for numbers 32 and 64 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 32: 32, 64, 96, 128
Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704, 768, 832, 896, 960, 1024, 1088, 1152, 1216, 1280, 1344, 1408, 1472, 1536, 1600, 1664, 1728, 1792, 1856, 1920, 1984, 2048, 2112, 2176, 2240, 2304, 2368, 2432, 2496, 2560, 2624, 2688, 2752, 2816, 2880, 2944, 3008, 3072, 3136, 3200, 3264, 3328, 3392, 3456, 3520, 3584, 3648, 3712, 3776, 3840, 3904, 3968, 4032, 4096, 4160, 4224, 4288, 4352, 4416, 4480, 4544, 4608, 4672, 4736, 4800, 4864, 4928, 4992, 5056, 5120, 5184, 5248, 5312, 5376, 5440, 5504, 5568, 5632, 5696, 5760, 5824, 5888, 5952, 6016, 6080, 6144, 6208, 6272, 6336, 6400, 6464, 6528, 6592, 6656, 6720, 6784, 6848, 6912, 6976, 7040, 7104, 7168, 7232, 7296, 7360, 7424, 7488, 7552, 7616, 7680, 7744, 7808, 7872, 7936, 8000, 8064, 8128, 8192, 8256, 8320, 8384, 8448, 8512, 8576, 8640, 8704, 8768, 8832, 8896, 8960, 9024, 9088, 9152, 9216, 9280, 9344, 9408, 9472, 9536, 9600, 9664, 9728, 9792, 9856, 9920, 9984, 10048, 10112, 10176, 10240, 10304, 10368, 10432, 10496, 10560, 10624, 10688, 10752, 10816, 10880, 10944, 11008, 11072, 11136, 11200, 11264, 11328, 11392, 11456, 11520, 11584, 11648, 11712, 11776, 11840, 11904, 11968, 12032, 12096, 12160, 12224, 12288, 12352, 12416, 12480, 12544, 12608, 12672, 12736, 12800, 12864, 12928, 12992, 13056, 13120, 13184, 13248, 13312, 13376, 13440, 13504, 13568, 13632, 13696, 13760, 13824, 13888, 13952, 14016, 14080, 14144, 14208, 14272, 14336, 14400, 14464, 14528, 14592, 14656, 14720, 14784, 14848, 14912, 14976, 15040, 15104, 15168, 15232, 15296, 15360, 15424, 15488, 15552, 15616, 15680, 15744, 15808, 15872, 15936, 16000, 16064, 16128, 16192, 16256, 16320, 16384, 16448, 16512, 16576, 16640, 16704, 16768, 16832, 16896, 16960, 17024, 17088, 17152, 17216, 17280, 17344, 17408, 17472, 17536, 17600, 17664, 17728, 17792, 17856, 17920, 17984, 18048, 18112, 18176, 18240, 18304, 18368, 18432, 18496, 18560, 18624, 18688, 18752, 18816, 18880, 18944, 19008, 19072, 19136, 19200, 19264, 19328, 19392, 19456, 19520, 19584, 19648, 19712, 19776, 19840, 19904, 19968, 20032, 20096, 20160, 20224, 20288, 20352, 20416, 20480, 20544, 20608, 20672, 20736, 20800, 20864, 20928, 20992, 21056, 21120, 21184, 21248, 21312, 21376, 21440, 21504, 21568, 21632, 21696, 21760, 21824, 21888, 21952, 22016, 22080, 22144, 22208, 22272, 22336, 22400, 22464, 22528, 22592, 22656, 22720, 22784, 22848, 22912, 22976, 23040, 23104, 23168, 23232, 23296, 23360, 23424, 23488, 23552, 23616, 23680, 23744, 23808, 23872, 23936, 24000, 24064, 24128, 24192, 24256, 24320, 24384, 24448, 24512, 24576, 24640, 24704, 24768, 24832, 24896, 24960, 25024, 25088, 25152, 25216, 25280, 25344, 25408, 25472, 25536, 25600, 25664, 25728, 25792, 25856, 25920, 25984, 26048, 26112, 26176, 26240, 26304, 26368, 26432, 26496, 26560, 26624, 26688, 26752, 26816, 26880, 26944, 27008, 27072, 27136, 27200, 27264, 27328, 27392, 27456, 27520, 27584, 27648, 27712, 27776, 27840, 27904, 27968, 28032, 28096, 28160, 28224, 28288, 28352, 28416, 28480, 28544, 28608, 28672, 28736, 28800, 28864, 28928, 28992, 29056, 29120, 29184, 29248, 29312, 29376, 29440, 29504, 29568, 29632, 29696, 29760, 29824, 29888, 29952, 30016, 30080, 30144, 30208, 30272, 30336, 30400, 30464, 30528, 30592, 30656, 30720, 30784, 30848, 30912, 30976, 31040, 31104, 31168, 31232, 31296, 31360, 31424, 31488, 31552, 31616, 31680, 31744, 31808, 31872, 31936, 32000, 32064, 32128, 32192, 32256, 32320, 32384, 32448, 32512, 32576, 32640, 32704, 32768, 32832, 32896, 32960, 33024, 33088, 33152, 33216, 33280, 33344, 33408, 33472, 33536, 33600, 33664, 33728, 33792, 33856, 33920, 33984, 34048, 34112, 34176, 34240, 34304, 34368, 34432, 34496, 34560, 34624, 34688, 34752, 34816, 34880, 34944, 35008, 35072, 35136, 35200, 35264, 35328, 35392, 35456, 35520, 35584, 35648, 35712, 35776, 35840, 35904, 35968, 36032, 36096, 36160, 36224, 36288, 36352, 36416, 36480, 36544, 36608, 36672, 36736, 36800, 36864, 36928, 36992, 37056, 37120, 37184, 37248, 37312, 37376, 37440, 37504, 37568, 37632, 37696, 37760, 37824, 37888, 37952, 38016, 38080, 38144, 38208, 38272, 38336, 38400, 38464, 38528, 38592, 38656, 38720, 38784, 38848, 38912, 38976, 39040, 39104, 39168, 39232, 39296, 39360, 39424, 39488, 39552, 39616, 39680, 39744, 39808, 39872, 39936, 40000, 40064, 40128, 40192, 40256, 40320, 40384, 40448, 40512, 40576, 40640, 40704, 40768, 40832, 40896, 40960, 41024, 41088, 41152, 41216, 41280, 41344, 41408, 41472, 41536, 41600, 41664, 41728, 41792, 41856, 41920, 41984, 42048, 42112, 42176, 42240, 42304, 42368, 42432, 42496, 42560, 42624, 42688, 42752, 42816, 42880, 42944, 43008, 43072, 43136, 43200, 43264, 43328, 43392, 43456, 43520, 43584, 43648, 43712, 43776, 43840, 43904, 43968, 44032, 44096, 44160, 44224, 44288, 44352, 44416, 44480, 44544, 44608, 44672, 44736, 44800, 44864, 44928, 44992, 45056, 45120, 45184, 45248, 45312, 45376, 45440, 45504, 45568, 45632, 45696, 45760, 45824, 45888, 45952, 46016, 46080, 46144, 46208, 46272, 46336, 46400, 46464, 46528, 46592, 46656, 46720, 46784, 46848, 46912, 46976, 47040, 47104, 47168, 47232, 47296, 47360, 47424, 47488, 47552, 47616, 47680, 47744, 47808, 47872, 47936, 48000, 48064, 48128, 48192, 48256, 48320, 48384, 48448, 48512, 48576, 48640, 48704, 48768, 48832, 48896, 48960, 49024, 49088, 49152, 49216, 49280, 49344, 49408, 49472, 49536, 49600, 49664, 49728, 49792, 49856, 49920, 49984, 50048, 50112, 50176, 50240, 50304, 50368, 50432, 50496, 50560, 50624, 50688, 50752, 50816, 50880, 50944, 51008, 51072, 51136, 51200, 51264, 51328, 51392, 51456, 51520, 51584, 51648, 51712, 51776, 51840, 51904, 51968, 52032, 52096, 52160, 52224, 52288, 52352, 52416, 52480, 52544, 52608, 52672, 52736, 52800, 52864, 52928, 52992, 53056, 53120, 53184, 53248, 53312, 53376, 53440, 53504, 53568, 53632, 53696, 53760, 53824, 53888, 53952, 54016, 54080, 54144, 54208, 54272, 54336, 54400, 54464, 54528, 54592, 54656, 54720, 54784, 54848, 54912, 54976, 55040, 55104, 55168, 55232, 55296, 55360, 55424, 55488, 55552, 55616, 55680, 55744, 55808, 55872, 55936, 56000, 56064, 56128, 56192, 56256, 56320, 56384, 56448, 56512, 56576, 56640, 56704, 56768, 56832, 56896, 56960, 57024, 57088, 57152, 57216, 57280, 57344, 57408, 57472, 57536, 57600, 57664, 57728, 57792, 57856, 57920, 57984, 58048, 58112, 58176, 58240, 58304, 58368, 58432, 58496, 58560, 58624, 58688, 58752, 58816, 58880, 58944, 59008, 59072, 59136, 59200, 59264, 59328, 59392, 59456, 59520, 59584, 59648, 59712, 59776, 59840, 59904, 59968, 60032, 60096, 60160, 60224, 60288, 60352, 60416, 60480, 60544, 60608, 60672, 60736, 60800, 60864, 60928, 60992, 61056, 61120, 61184, 61248, 61312, 61376, 61440, 61504, 61568, 61632, 61696, 61760, 61824, 61888, 61952, 62016, 62080, 62144, 62208, 62272, 62336, 62400, 62464, 62528, 62592, 62656, 62720, 62784, 62848, 62912, 62976, 63040, 63104, 63168, 63232, 63296, 63360, 63424, 63488, 63552, 63616, 63680, 63744, 63808, 63872, 63936, 64000, [...], 64
So the LCM for 32 and 64 is 64
Finding LCM for 32 and 64 by Prime Factorization
Another method to find LCM for numbers 32 and 64 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 32: 2, 2, 2, 2, 2 (exponent form: 25)
All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)
26 = 64
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About "Least Common Multiple" Calculator
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
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What's the Least Common Multiple (LCM) of 32 and 64?
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- Наименьшее общее кратное 32 и 64