LCM for 17 and 34
What's the Least Common Multiple (LCM) of 17 and 34?
(Thirty-four)
Finding LCM for 17 and 34 using GCF's of these numbers
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
Finding LCM for 17 and 34 by Listing Multiples
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
Finding LCM for 17 and 34 by Prime Factorization
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:
All Prime Factors of 17: 17 (exponent form: 171)
All Prime Factors of 34: 2, 17 (exponent form: 21, 171)
171 × 21 = 34
Related Calculations
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