LCM for 32 and 64

What's the Least Common Multiple (LCM) of 32 and 64?

Answer: LCM of 32 and 64 is 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

LCM Table

Number 1Number 2LCM
17641088
1864
19641216
2064320
21641344
2264704
23641472
2464192
2564
2664832
2764
2864
29641856
3064960
31641984
3264
33642112
3464
35642240
3664
37642368
38641216
39642496
4064
41642624
4264
4364
4464
45642880
46641472

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 32 and 64? (The answer is: 64). Select the first number (e.g. '32') and the second number (e.g. '64'). 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

FAQ

What's the Least Common Multiple (LCM) of 32 and 64?

LCM of 32 and 64 is 64