LCM for 26 and 52

What's the Least Common Multiple (LCM) of 26 and 52?

Answer: LCM of 26 and 52 is 52

(Fifty-two)

Finding LCM for 26 and 52 using GCF's of these numbers

The first method to find LCM for numbers 26 and 52 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 26 and 52 is 26, so

LCM = (26 × 52) ÷ 26

LCM = 1352 ÷ 26

LCM = 52

Finding LCM for 26 and 52 by Listing Multiples

The second method to find LCM for numbers 26 and 52 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 26: 26, 52, 78, 104

Multiples of 52: 52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884, 936, 988, 1040, 1092, 1144, 1196, 1248, 1300, 1352, 1404, 1456, 1508, 1560, 1612, 1664, 1716, 1768, 1820, 1872, 1924, 1976, 2028, 2080, 2132, 2184, 2236, 2288, 2340, 2392, 2444, 2496, 2548, 2600, 2652, 2704, 2756, 2808, 2860, 2912, 2964, 3016, 3068, 3120, 3172, 3224, 3276, 3328, 3380, 3432, 3484, 3536, 3588, 3640, 3692, 3744, 3796, 3848, 3900, 3952, 4004, 4056, 4108, 4160, 4212, 4264, 4316, 4368, 4420, 4472, 4524, 4576, 4628, 4680, 4732, 4784, 4836, 4888, 4940, 4992, 5044, 5096, 5148, 5200, 5252, 5304, 5356, 5408, 5460, 5512, 5564, 5616, 5668, 5720, 5772, 5824, 5876, 5928, 5980, 6032, 6084, 6136, 6188, 6240, 6292, 6344, 6396, 6448, 6500, 6552, 6604, 6656, 6708, 6760, 6812, 6864, 6916, 6968, 7020, 7072, 7124, 7176, 7228, 7280, 7332, 7384, 7436, 7488, 7540, 7592, 7644, 7696, 7748, 7800, 7852, 7904, 7956, 8008, 8060, 8112, 8164, 8216, 8268, 8320, 8372, 8424, 8476, 8528, 8580, 8632, 8684, 8736, 8788, 8840, 8892, 8944, 8996, 9048, 9100, 9152, 9204, 9256, 9308, 9360, 9412, 9464, 9516, 9568, 9620, 9672, 9724, 9776, 9828, 9880, 9932, 9984, 10036, 10088, 10140, 10192, 10244, 10296, 10348, 10400, 10452, 10504, 10556, 10608, 10660, 10712, 10764, 10816, 10868, 10920, 10972, 11024, 11076, 11128, 11180, 11232, 11284, 11336, 11388, 11440, 11492, 11544, 11596, 11648, 11700, 11752, 11804, 11856, 11908, 11960, 12012, 12064, 12116, 12168, 12220, 12272, 12324, 12376, 12428, 12480, 12532, 12584, 12636, 12688, 12740, 12792, 12844, 12896, 12948, 13000, 13052, 13104, 13156, 13208, 13260, 13312, 13364, 13416, 13468, 13520, 13572, 13624, 13676, 13728, 13780, 13832, 13884, 13936, 13988, 14040, 14092, 14144, 14196, 14248, 14300, 14352, 14404, 14456, 14508, 14560, 14612, 14664, 14716, 14768, 14820, 14872, 14924, 14976, 15028, 15080, 15132, 15184, 15236, 15288, 15340, 15392, 15444, 15496, 15548, 15600, 15652, 15704, 15756, 15808, 15860, 15912, 15964, 16016, 16068, 16120, 16172, 16224, 16276, 16328, 16380, 16432, 16484, 16536, 16588, 16640, 16692, 16744, 16796, 16848, 16900, 16952, 17004, 17056, 17108, 17160, 17212, 17264, 17316, 17368, 17420, 17472, 17524, 17576, 17628, 17680, 17732, 17784, 17836, 17888, 17940, 17992, 18044, 18096, 18148, 18200, 18252, 18304, 18356, 18408, 18460, 18512, 18564, 18616, 18668, 18720, 18772, 18824, 18876, 18928, 18980, 19032, 19084, 19136, 19188, 19240, 19292, 19344, 19396, 19448, 19500, 19552, 19604, 19656, 19708, 19760, 19812, 19864, 19916, 19968, 20020, 20072, 20124, 20176, 20228, 20280, 20332, 20384, 20436, 20488, 20540, 20592, 20644, 20696, 20748, 20800, 20852, 20904, 20956, 21008, 21060, 21112, 21164, 21216, 21268, 21320, 21372, 21424, 21476, 21528, 21580, 21632, 21684, 21736, 21788, 21840, 21892, 21944, 21996, 22048, 22100, 22152, 22204, 22256, 22308, 22360, 22412, 22464, 22516, 22568, 22620, 22672, 22724, 22776, 22828, 22880, 22932, 22984, 23036, 23088, 23140, 23192, 23244, 23296, 23348, 23400, 23452, 23504, 23556, 23608, 23660, 23712, 23764, 23816, 23868, 23920, 23972, 24024, 24076, 24128, 24180, 24232, 24284, 24336, 24388, 24440, 24492, 24544, 24596, 24648, 24700, 24752, 24804, 24856, 24908, 24960, 25012, 25064, 25116, 25168, 25220, 25272, 25324, 25376, 25428, 25480, 25532, 25584, 25636, 25688, 25740, 25792, 25844, 25896, 25948, 26000, 26052, 26104, 26156, 26208, 26260, 26312, 26364, 26416, 26468, 26520, 26572, 26624, 26676, 26728, 26780, 26832, 26884, 26936, 26988, 27040, 27092, 27144, 27196, 27248, 27300, 27352, 27404, 27456, 27508, 27560, 27612, 27664, 27716, 27768, 27820, 27872, 27924, 27976, 28028, 28080, 28132, 28184, 28236, 28288, 28340, 28392, 28444, 28496, 28548, 28600, 28652, 28704, 28756, 28808, 28860, 28912, 28964, 29016, 29068, 29120, 29172, 29224, 29276, 29328, 29380, 29432, 29484, 29536, 29588, 29640, 29692, 29744, 29796, 29848, 29900, 29952, 30004, 30056, 30108, 30160, 30212, 30264, 30316, 30368, 30420, 30472, 30524, 30576, 30628, 30680, 30732, 30784, 30836, 30888, 30940, 30992, 31044, 31096, 31148, 31200, 31252, 31304, 31356, 31408, 31460, 31512, 31564, 31616, 31668, 31720, 31772, 31824, 31876, 31928, 31980, 32032, 32084, 32136, 32188, 32240, 32292, 32344, 32396, 32448, 32500, 32552, 32604, 32656, 32708, 32760, 32812, 32864, 32916, 32968, 33020, 33072, 33124, 33176, 33228, 33280, 33332, 33384, 33436, 33488, 33540, 33592, 33644, 33696, 33748, 33800, 33852, 33904, 33956, 34008, 34060, 34112, 34164, 34216, 34268, 34320, 34372, 34424, 34476, 34528, 34580, 34632, 34684, 34736, 34788, 34840, 34892, 34944, 34996, 35048, 35100, 35152, 35204, 35256, 35308, 35360, 35412, 35464, 35516, 35568, 35620, 35672, 35724, 35776, 35828, 35880, 35932, 35984, 36036, 36088, 36140, 36192, 36244, 36296, 36348, 36400, 36452, 36504, 36556, 36608, 36660, 36712, 36764, 36816, 36868, 36920, 36972, 37024, 37076, 37128, 37180, 37232, 37284, 37336, 37388, 37440, 37492, 37544, 37596, 37648, 37700, 37752, 37804, 37856, 37908, 37960, 38012, 38064, 38116, 38168, 38220, 38272, 38324, 38376, 38428, 38480, 38532, 38584, 38636, 38688, 38740, 38792, 38844, 38896, 38948, 39000, 39052, 39104, 39156, 39208, 39260, 39312, 39364, 39416, 39468, 39520, 39572, 39624, 39676, 39728, 39780, 39832, 39884, 39936, 39988, 40040, 40092, 40144, 40196, 40248, 40300, 40352, 40404, 40456, 40508, 40560, 40612, 40664, 40716, 40768, 40820, 40872, 40924, 40976, 41028, 41080, 41132, 41184, 41236, 41288, 41340, 41392, 41444, 41496, 41548, 41600, 41652, 41704, 41756, 41808, 41860, 41912, 41964, 42016, 42068, 42120, 42172, 42224, 42276, 42328, 42380, 42432, 42484, 42536, 42588, 42640, 42692, 42744, 42796, 42848, 42900, 42952, 43004, 43056, 43108, 43160, 43212, 43264, 43316, 43368, 43420, 43472, 43524, 43576, 43628, 43680, 43732, 43784, 43836, 43888, 43940, 43992, 44044, 44096, 44148, 44200, 44252, 44304, 44356, 44408, 44460, 44512, 44564, 44616, 44668, 44720, 44772, 44824, 44876, 44928, 44980, 45032, 45084, 45136, 45188, 45240, 45292, 45344, 45396, 45448, 45500, 45552, 45604, 45656, 45708, 45760, 45812, 45864, 45916, 45968, 46020, 46072, 46124, 46176, 46228, 46280, 46332, 46384, 46436, 46488, 46540, 46592, 46644, 46696, 46748, 46800, 46852, 46904, 46956, 47008, 47060, 47112, 47164, 47216, 47268, 47320, 47372, 47424, 47476, 47528, 47580, 47632, 47684, 47736, 47788, 47840, 47892, 47944, 47996, 48048, 48100, 48152, 48204, 48256, 48308, 48360, 48412, 48464, 48516, 48568, 48620, 48672, 48724, 48776, 48828, 48880, 48932, 48984, 49036, 49088, 49140, 49192, 49244, 49296, 49348, 49400, 49452, 49504, 49556, 49608, 49660, 49712, 49764, 49816, 49868, 49920, 49972, 50024, 50076, 50128, 50180, 50232, 50284, 50336, 50388, 50440, 50492, 50544, 50596, 50648, 50700, 50752, 50804, 50856, 50908, 50960, 51012, 51064, 51116, 51168, 51220, 51272, 51324, 51376, 51428, 51480, 51532, 51584, 51636, 51688, 51740, 51792, 51844, 51896, 51948, 52000, [...], 52

So the LCM for 26 and 52 is 52

Finding LCM for 26 and 52 by Prime Factorization

Another method to find LCM for numbers 26 and 52 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 26: 2, 13 (exponent form: 21, 131)

All Prime Factors of 52: 2, 2, 13 (exponent form: 22, 131)

22 × 131 = 52

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 26 and 52? (The answer is: 52). Select the first number (e.g. '26') and the second number (e.g. '52'). 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
1152572
1252
135252
1452364
1552780
1652208
1752884
1852468
1952988
2052260
21521092
2252572
23521196
2452312
25521300
2652
27521404
2852
29521508
3052780
31521612
3252416
33521716
3452884
35521820
3652
37521924
3852988
3952
4052520

FAQ

What's the Least Common Multiple (LCM) of 26 and 52?

LCM of 26 and 52 is 52