LCM for 13 and 26

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

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

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: