LCM for 13 and 26
What's the Least Common Multiple (LCM) of 13 and 26?
(Twenty-six)
Finding LCM for 13 and 26 using GCF's of these numbers
The first method to find LCM for numbers 13 and 26 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 13 and 26 is 13, so
LCM = (13 × 26) ÷ 13
LCM = 338 ÷ 13
LCM = 26
Finding LCM for 13 and 26 by Listing Multiples
The second method to find LCM for numbers 13 and 26 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 13: 13, 26, 39, 52
Multiples of 26: 26, 52, 78, 104, 130, 156, 182, 208, 234, 260, 286, 312, 338, 364, 390, 416, 442, 468, 494, 520, 546, 572, 598, 624, 650, 676, 702, 728, 754, 780, 806, 832, 858, 884, 910, 936, 962, 988, 1014, 1040, 1066, 1092, 1118, 1144, 1170, 1196, 1222, 1248, 1274, 1300, 1326, 1352, 1378, 1404, 1430, 1456, 1482, 1508, 1534, 1560, 1586, 1612, 1638, 1664, 1690, 1716, 1742, 1768, 1794, 1820, 1846, 1872, 1898, 1924, 1950, 1976, 2002, 2028, 2054, 2080, 2106, 2132, 2158, 2184, 2210, 2236, 2262, 2288, 2314, 2340, 2366, 2392, 2418, 2444, 2470, 2496, 2522, 2548, 2574, 2600, 2626, 2652, 2678, 2704, 2730, 2756, 2782, 2808, 2834, 2860, 2886, 2912, 2938, 2964, 2990, 3016, 3042, 3068, 3094, 3120, 3146, 3172, 3198, 3224, 3250, 3276, 3302, 3328, 3354, 3380, 3406, 3432, 3458, 3484, 3510, 3536, 3562, 3588, 3614, 3640, 3666, 3692, 3718, 3744, 3770, 3796, 3822, 3848, 3874, 3900, 3926, 3952, 3978, 4004, 4030, 4056, 4082, 4108, 4134, 4160, 4186, 4212, 4238, 4264, 4290, 4316, 4342, 4368, 4394, 4420, 4446, 4472, 4498, 4524, 4550, 4576, 4602, 4628, 4654, 4680, 4706, 4732, 4758, 4784, 4810, 4836, 4862, 4888, 4914, 4940, 4966, 4992, 5018, 5044, 5070, 5096, 5122, 5148, 5174, 5200, 5226, 5252, 5278, 5304, 5330, 5356, 5382, 5408, 5434, 5460, 5486, 5512, 5538, 5564, 5590, 5616, 5642, 5668, 5694, 5720, 5746, 5772, 5798, 5824, 5850, 5876, 5902, 5928, 5954, 5980, 6006, 6032, 6058, 6084, 6110, 6136, 6162, 6188, 6214, 6240, 6266, 6292, 6318, 6344, 6370, 6396, 6422, 6448, 6474, 6500, 6526, 6552, 6578, 6604, 6630, 6656, 6682, 6708, 6734, 6760, 6786, 6812, 6838, 6864, 6890, 6916, 6942, 6968, 6994, 7020, 7046, 7072, 7098, 7124, 7150, 7176, 7202, 7228, 7254, 7280, 7306, 7332, 7358, 7384, 7410, 7436, 7462, 7488, 7514, 7540, 7566, 7592, 7618, 7644, 7670, 7696, 7722, 7748, 7774, 7800, 7826, 7852, 7878, 7904, 7930, 7956, 7982, 8008, 8034, 8060, 8086, 8112, 8138, 8164, 8190, 8216, 8242, 8268, 8294, 8320, 8346, 8372, 8398, 8424, 8450, 8476, 8502, 8528, 8554, 8580, 8606, 8632, 8658, 8684, 8710, 8736, 8762, 8788, 8814, 8840, 8866, 8892, 8918, 8944, 8970, 8996, 9022, 9048, 9074, 9100, 9126, 9152, 9178, 9204, 9230, 9256, 9282, 9308, 9334, 9360, 9386, 9412, 9438, 9464, 9490, 9516, 9542, 9568, 9594, 9620, 9646, 9672, 9698, 9724, 9750, 9776, 9802, 9828, 9854, 9880, 9906, 9932, 9958, 9984, 10010, 10036, 10062, 10088, 10114, 10140, 10166, 10192, 10218, 10244, 10270, 10296, 10322, 10348, 10374, 10400, 10426, 10452, 10478, 10504, 10530, 10556, 10582, 10608, 10634, 10660, 10686, 10712, 10738, 10764, 10790, 10816, 10842, 10868, 10894, 10920, 10946, 10972, 10998, 11024, 11050, 11076, 11102, 11128, 11154, 11180, 11206, 11232, 11258, 11284, 11310, 11336, 11362, 11388, 11414, 11440, 11466, 11492, 11518, 11544, 11570, 11596, 11622, 11648, 11674, 11700, 11726, 11752, 11778, 11804, 11830, 11856, 11882, 11908, 11934, 11960, 11986, 12012, 12038, 12064, 12090, 12116, 12142, 12168, 12194, 12220, 12246, 12272, 12298, 12324, 12350, 12376, 12402, 12428, 12454, 12480, 12506, 12532, 12558, 12584, 12610, 12636, 12662, 12688, 12714, 12740, 12766, 12792, 12818, 12844, 12870, 12896, 12922, 12948, 12974, 13000, 13026, 13052, 13078, 13104, 13130, 13156, 13182, 13208, 13234, 13260, 13286, 13312, 13338, 13364, 13390, 13416, 13442, 13468, 13494, 13520, 13546, 13572, 13598, 13624, 13650, 13676, 13702, 13728, 13754, 13780, 13806, 13832, 13858, 13884, 13910, 13936, 13962, 13988, 14014, 14040, 14066, 14092, 14118, 14144, 14170, 14196, 14222, 14248, 14274, 14300, 14326, 14352, 14378, 14404, 14430, 14456, 14482, 14508, 14534, 14560, 14586, 14612, 14638, 14664, 14690, 14716, 14742, 14768, 14794, 14820, 14846, 14872, 14898, 14924, 14950, 14976, 15002, 15028, 15054, 15080, 15106, 15132, 15158, 15184, 15210, 15236, 15262, 15288, 15314, 15340, 15366, 15392, 15418, 15444, 15470, 15496, 15522, 15548, 15574, 15600, 15626, 15652, 15678, 15704, 15730, 15756, 15782, 15808, 15834, 15860, 15886, 15912, 15938, 15964, 15990, 16016, 16042, 16068, 16094, 16120, 16146, 16172, 16198, 16224, 16250, 16276, 16302, 16328, 16354, 16380, 16406, 16432, 16458, 16484, 16510, 16536, 16562, 16588, 16614, 16640, 16666, 16692, 16718, 16744, 16770, 16796, 16822, 16848, 16874, 16900, 16926, 16952, 16978, 17004, 17030, 17056, 17082, 17108, 17134, 17160, 17186, 17212, 17238, 17264, 17290, 17316, 17342, 17368, 17394, 17420, 17446, 17472, 17498, 17524, 17550, 17576, 17602, 17628, 17654, 17680, 17706, 17732, 17758, 17784, 17810, 17836, 17862, 17888, 17914, 17940, 17966, 17992, 18018, 18044, 18070, 18096, 18122, 18148, 18174, 18200, 18226, 18252, 18278, 18304, 18330, 18356, 18382, 18408, 18434, 18460, 18486, 18512, 18538, 18564, 18590, 18616, 18642, 18668, 18694, 18720, 18746, 18772, 18798, 18824, 18850, 18876, 18902, 18928, 18954, 18980, 19006, 19032, 19058, 19084, 19110, 19136, 19162, 19188, 19214, 19240, 19266, 19292, 19318, 19344, 19370, 19396, 19422, 19448, 19474, 19500, 19526, 19552, 19578, 19604, 19630, 19656, 19682, 19708, 19734, 19760, 19786, 19812, 19838, 19864, 19890, 19916, 19942, 19968, 19994, 20020, 20046, 20072, 20098, 20124, 20150, 20176, 20202, 20228, 20254, 20280, 20306, 20332, 20358, 20384, 20410, 20436, 20462, 20488, 20514, 20540, 20566, 20592, 20618, 20644, 20670, 20696, 20722, 20748, 20774, 20800, 20826, 20852, 20878, 20904, 20930, 20956, 20982, 21008, 21034, 21060, 21086, 21112, 21138, 21164, 21190, 21216, 21242, 21268, 21294, 21320, 21346, 21372, 21398, 21424, 21450, 21476, 21502, 21528, 21554, 21580, 21606, 21632, 21658, 21684, 21710, 21736, 21762, 21788, 21814, 21840, 21866, 21892, 21918, 21944, 21970, 21996, 22022, 22048, 22074, 22100, 22126, 22152, 22178, 22204, 22230, 22256, 22282, 22308, 22334, 22360, 22386, 22412, 22438, 22464, 22490, 22516, 22542, 22568, 22594, 22620, 22646, 22672, 22698, 22724, 22750, 22776, 22802, 22828, 22854, 22880, 22906, 22932, 22958, 22984, 23010, 23036, 23062, 23088, 23114, 23140, 23166, 23192, 23218, 23244, 23270, 23296, 23322, 23348, 23374, 23400, 23426, 23452, 23478, 23504, 23530, 23556, 23582, 23608, 23634, 23660, 23686, 23712, 23738, 23764, 23790, 23816, 23842, 23868, 23894, 23920, 23946, 23972, 23998, 24024, 24050, 24076, 24102, 24128, 24154, 24180, 24206, 24232, 24258, 24284, 24310, 24336, 24362, 24388, 24414, 24440, 24466, 24492, 24518, 24544, 24570, 24596, 24622, 24648, 24674, 24700, 24726, 24752, 24778, 24804, 24830, 24856, 24882, 24908, 24934, 24960, 24986, 25012, 25038, 25064, 25090, 25116, 25142, 25168, 25194, 25220, 25246, 25272, 25298, 25324, 25350, 25376, 25402, 25428, 25454, 25480, 25506, 25532, 25558, 25584, 25610, 25636, 25662, 25688, 25714, 25740, 25766, 25792, 25818, 25844, 25870, 25896, 25922, 25948, 25974, 26000, [...], 26
So the LCM for 13 and 26 is 26
Finding LCM for 13 and 26 by Prime Factorization
Another method to find LCM for numbers 13 and 26 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 13: 13 (exponent form: 131)
All Prime Factors of 26: 2, 13 (exponent form: 21, 131)
131 × 21 = 26
Related Calculations
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/13--26">What is the LCM of 13 and 26? - Calculatio</a>
LCM Table
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