LCM for 17 and 34

The first method to find LCM for numbers 17 and 34 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 17 and 34 is 17, so

LCM = (17 × 34) ÷ 17

LCM = 578 ÷ 17

LCM = 34

The second method to find LCM for numbers 17 and 34 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 17: 17, 34, 51, 68

Multiples of 34: 34, 68, 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, 612, 646, 680, 714, 748, 782, 816, 850, 884, 918, 952, 986, 1020, 1054, 1088, 1122, 1156, 1190, 1224, 1258, 1292, 1326, 1360, 1394, 1428, 1462, 1496, 1530, 1564, 1598, 1632, 1666, 1700, 1734, 1768, 1802, 1836, 1870, 1904, 1938, 1972, 2006, 2040, 2074, 2108, 2142, 2176, 2210, 2244, 2278, 2312, 2346, 2380, 2414, 2448, 2482, 2516, 2550, 2584, 2618, 2652, 2686, 2720, 2754, 2788, 2822, 2856, 2890, 2924, 2958, 2992, 3026, 3060, 3094, 3128, 3162, 3196, 3230, 3264, 3298, 3332, 3366, 3400, 3434, 3468, 3502, 3536, 3570, 3604, 3638, 3672, 3706, 3740, 3774, 3808, 3842, 3876, 3910, 3944, 3978, 4012, 4046, 4080, 4114, 4148, 4182, 4216, 4250, 4284, 4318, 4352, 4386, 4420, 4454, 4488, 4522, 4556, 4590, 4624, 4658, 4692, 4726, 4760, 4794, 4828, 4862, 4896, 4930, 4964, 4998, 5032, 5066, 5100, 5134, 5168, 5202, 5236, 5270, 5304, 5338, 5372, 5406, 5440, 5474, 5508, 5542, 5576, 5610, 5644, 5678, 5712, 5746, 5780, 5814, 5848, 5882, 5916, 5950, 5984, 6018, 6052, 6086, 6120, 6154, 6188, 6222, 6256, 6290, 6324, 6358, 6392, 6426, 6460, 6494, 6528, 6562, 6596, 6630, 6664, 6698, 6732, 6766, 6800, 6834, 6868, 6902, 6936, 6970, 7004, 7038, 7072, 7106, 7140, 7174, 7208, 7242, 7276, 7310, 7344, 7378, 7412, 7446, 7480, 7514, 7548, 7582, 7616, 7650, 7684, 7718, 7752, 7786, 7820, 7854, 7888, 7922, 7956, 7990, 8024, 8058, 8092, 8126, 8160, 8194, 8228, 8262, 8296, 8330, 8364, 8398, 8432, 8466, 8500, 8534, 8568, 8602, 8636, 8670, 8704, 8738, 8772, 8806, 8840, 8874, 8908, 8942, 8976, 9010, 9044, 9078, 9112, 9146, 9180, 9214, 9248, 9282, 9316, 9350, 9384, 9418, 9452, 9486, 9520, 9554, 9588, 9622, 9656, 9690, 9724, 9758, 9792, 9826, 9860, 9894, 9928, 9962, 9996, 10030, 10064, 10098, 10132, 10166, 10200, 10234, 10268, 10302, 10336, 10370, 10404, 10438, 10472, 10506, 10540, 10574, 10608, 10642, 10676, 10710, 10744, 10778, 10812, 10846, 10880, 10914, 10948, 10982, 11016, 11050, 11084, 11118, 11152, 11186, 11220, 11254, 11288, 11322, 11356, 11390, 11424, 11458, 11492, 11526, 11560, 11594, 11628, 11662, 11696, 11730, 11764, 11798, 11832, 11866, 11900, 11934, 11968, 12002, 12036, 12070, 12104, 12138, 12172, 12206, 12240, 12274, 12308, 12342, 12376, 12410, 12444, 12478, 12512, 12546, 12580, 12614, 12648, 12682, 12716, 12750, 12784, 12818, 12852, 12886, 12920, 12954, 12988, 13022, 13056, 13090, 13124, 13158, 13192, 13226, 13260, 13294, 13328, 13362, 13396, 13430, 13464, 13498, 13532, 13566, 13600, 13634, 13668, 13702, 13736, 13770, 13804, 13838, 13872, 13906, 13940, 13974, 14008, 14042, 14076, 14110, 14144, 14178, 14212, 14246, 14280, 14314, 14348, 14382, 14416, 14450, 14484, 14518, 14552, 14586, 14620, 14654, 14688, 14722, 14756, 14790, 14824, 14858, 14892, 14926, 14960, 14994, 15028, 15062, 15096, 15130, 15164, 15198, 15232, 15266, 15300, 15334, 15368, 15402, 15436, 15470, 15504, 15538, 15572, 15606, 15640, 15674, 15708, 15742, 15776, 15810, 15844, 15878, 15912, 15946, 15980, 16014, 16048, 16082, 16116, 16150, 16184, 16218, 16252, 16286, 16320, 16354, 16388, 16422, 16456, 16490, 16524, 16558, 16592, 16626, 16660, 16694, 16728, 16762, 16796, 16830, 16864, 16898, 16932, 16966, 17000, 17034, 17068, 17102, 17136, 17170, 17204, 17238, 17272, 17306, 17340, 17374, 17408, 17442, 17476, 17510, 17544, 17578, 17612, 17646, 17680, 17714, 17748, 17782, 17816, 17850, 17884, 17918, 17952, 17986, 18020, 18054, 18088, 18122, 18156, 18190, 18224, 18258, 18292, 18326, 18360, 18394, 18428, 18462, 18496, 18530, 18564, 18598, 18632, 18666, 18700, 18734, 18768, 18802, 18836, 18870, 18904, 18938, 18972, 19006, 19040, 19074, 19108, 19142, 19176, 19210, 19244, 19278, 19312, 19346, 19380, 19414, 19448, 19482, 19516, 19550, 19584, 19618, 19652, 19686, 19720, 19754, 19788, 19822, 19856, 19890, 19924, 19958, 19992, 20026, 20060, 20094, 20128, 20162, 20196, 20230, 20264, 20298, 20332, 20366, 20400, 20434, 20468, 20502, 20536, 20570, 20604, 20638, 20672, 20706, 20740, 20774, 20808, 20842, 20876, 20910, 20944, 20978, 21012, 21046, 21080, 21114, 21148, 21182, 21216, 21250, 21284, 21318, 21352, 21386, 21420, 21454, 21488, 21522, 21556, 21590, 21624, 21658, 21692, 21726, 21760, 21794, 21828, 21862, 21896, 21930, 21964, 21998, 22032, 22066, 22100, 22134, 22168, 22202, 22236, 22270, 22304, 22338, 22372, 22406, 22440, 22474, 22508, 22542, 22576, 22610, 22644, 22678, 22712, 22746, 22780, 22814, 22848, 22882, 22916, 22950, 22984, 23018, 23052, 23086, 23120, 23154, 23188, 23222, 23256, 23290, 23324, 23358, 23392, 23426, 23460, 23494, 23528, 23562, 23596, 23630, 23664, 23698, 23732, 23766, 23800, 23834, 23868, 23902, 23936, 23970, 24004, 24038, 24072, 24106, 24140, 24174, 24208, 24242, 24276, 24310, 24344, 24378, 24412, 24446, 24480, 24514, 24548, 24582, 24616, 24650, 24684, 24718, 24752, 24786, 24820, 24854, 24888, 24922, 24956, 24990, 25024, 25058, 25092, 25126, 25160, 25194, 25228, 25262, 25296, 25330, 25364, 25398, 25432, 25466, 25500, 25534, 25568, 25602, 25636, 25670, 25704, 25738, 25772, 25806, 25840, 25874, 25908, 25942, 25976, 26010, 26044, 26078, 26112, 26146, 26180, 26214, 26248, 26282, 26316, 26350, 26384, 26418, 26452, 26486, 26520, 26554, 26588, 26622, 26656, 26690, 26724, 26758, 26792, 26826, 26860, 26894, 26928, 26962, 26996, 27030, 27064, 27098, 27132, 27166, 27200, 27234, 27268, 27302, 27336, 27370, 27404, 27438, 27472, 27506, 27540, 27574, 27608, 27642, 27676, 27710, 27744, 27778, 27812, 27846, 27880, 27914, 27948, 27982, 28016, 28050, 28084, 28118, 28152, 28186, 28220, 28254, 28288, 28322, 28356, 28390, 28424, 28458, 28492, 28526, 28560, 28594, 28628, 28662, 28696, 28730, 28764, 28798, 28832, 28866, 28900, 28934, 28968, 29002, 29036, 29070, 29104, 29138, 29172, 29206, 29240, 29274, 29308, 29342, 29376, 29410, 29444, 29478, 29512, 29546, 29580, 29614, 29648, 29682, 29716, 29750, 29784, 29818, 29852, 29886, 29920, 29954, 29988, 30022, 30056, 30090, 30124, 30158, 30192, 30226, 30260, 30294, 30328, 30362, 30396, 30430, 30464, 30498, 30532, 30566, 30600, 30634, 30668, 30702, 30736, 30770, 30804, 30838, 30872, 30906, 30940, 30974, 31008, 31042, 31076, 31110, 31144, 31178, 31212, 31246, 31280, 31314, 31348, 31382, 31416, 31450, 31484, 31518, 31552, 31586, 31620, 31654, 31688, 31722, 31756, 31790, 31824, 31858, 31892, 31926, 31960, 31994, 32028, 32062, 32096, 32130, 32164, 32198, 32232, 32266, 32300, 32334, 32368, 32402, 32436, 32470, 32504, 32538, 32572, 32606, 32640, 32674, 32708, 32742, 32776, 32810, 32844, 32878, 32912, 32946, 32980, 33014, 33048, 33082, 33116, 33150, 33184, 33218, 33252, 33286, 33320, 33354, 33388, 33422, 33456, 33490, 33524, 33558, 33592, 33626, 33660, 33694, 33728, 33762, 33796, 33830, 33864, 33898, 33932, 33966, 34000, [...], 34

So the LCM for 17 and 34 is 34

Another method to find LCM for numbers 17 and 34 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors: