LCM for 29 and 58
What's the Least Common Multiple (LCM) of 29 and 58?
(Fifty-eight)
Finding LCM for 29 and 58 using GCF's of these numbers
The first method to find LCM for numbers 29 and 58 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 29 and 58 is 29, so
LCM = (29 × 58) ÷ 29
LCM = 1682 ÷ 29
LCM = 58
Finding LCM for 29 and 58 by Listing Multiples
The second method to find LCM for numbers 29 and 58 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 29: 29, 58, 87, 116
Multiples of 58: 58, 116, 174, 232, 290, 348, 406, 464, 522, 580, 638, 696, 754, 812, 870, 928, 986, 1044, 1102, 1160, 1218, 1276, 1334, 1392, 1450, 1508, 1566, 1624, 1682, 1740, 1798, 1856, 1914, 1972, 2030, 2088, 2146, 2204, 2262, 2320, 2378, 2436, 2494, 2552, 2610, 2668, 2726, 2784, 2842, 2900, 2958, 3016, 3074, 3132, 3190, 3248, 3306, 3364, 3422, 3480, 3538, 3596, 3654, 3712, 3770, 3828, 3886, 3944, 4002, 4060, 4118, 4176, 4234, 4292, 4350, 4408, 4466, 4524, 4582, 4640, 4698, 4756, 4814, 4872, 4930, 4988, 5046, 5104, 5162, 5220, 5278, 5336, 5394, 5452, 5510, 5568, 5626, 5684, 5742, 5800, 5858, 5916, 5974, 6032, 6090, 6148, 6206, 6264, 6322, 6380, 6438, 6496, 6554, 6612, 6670, 6728, 6786, 6844, 6902, 6960, 7018, 7076, 7134, 7192, 7250, 7308, 7366, 7424, 7482, 7540, 7598, 7656, 7714, 7772, 7830, 7888, 7946, 8004, 8062, 8120, 8178, 8236, 8294, 8352, 8410, 8468, 8526, 8584, 8642, 8700, 8758, 8816, 8874, 8932, 8990, 9048, 9106, 9164, 9222, 9280, 9338, 9396, 9454, 9512, 9570, 9628, 9686, 9744, 9802, 9860, 9918, 9976, 10034, 10092, 10150, 10208, 10266, 10324, 10382, 10440, 10498, 10556, 10614, 10672, 10730, 10788, 10846, 10904, 10962, 11020, 11078, 11136, 11194, 11252, 11310, 11368, 11426, 11484, 11542, 11600, 11658, 11716, 11774, 11832, 11890, 11948, 12006, 12064, 12122, 12180, 12238, 12296, 12354, 12412, 12470, 12528, 12586, 12644, 12702, 12760, 12818, 12876, 12934, 12992, 13050, 13108, 13166, 13224, 13282, 13340, 13398, 13456, 13514, 13572, 13630, 13688, 13746, 13804, 13862, 13920, 13978, 14036, 14094, 14152, 14210, 14268, 14326, 14384, 14442, 14500, 14558, 14616, 14674, 14732, 14790, 14848, 14906, 14964, 15022, 15080, 15138, 15196, 15254, 15312, 15370, 15428, 15486, 15544, 15602, 15660, 15718, 15776, 15834, 15892, 15950, 16008, 16066, 16124, 16182, 16240, 16298, 16356, 16414, 16472, 16530, 16588, 16646, 16704, 16762, 16820, 16878, 16936, 16994, 17052, 17110, 17168, 17226, 17284, 17342, 17400, 17458, 17516, 17574, 17632, 17690, 17748, 17806, 17864, 17922, 17980, 18038, 18096, 18154, 18212, 18270, 18328, 18386, 18444, 18502, 18560, 18618, 18676, 18734, 18792, 18850, 18908, 18966, 19024, 19082, 19140, 19198, 19256, 19314, 19372, 19430, 19488, 19546, 19604, 19662, 19720, 19778, 19836, 19894, 19952, 20010, 20068, 20126, 20184, 20242, 20300, 20358, 20416, 20474, 20532, 20590, 20648, 20706, 20764, 20822, 20880, 20938, 20996, 21054, 21112, 21170, 21228, 21286, 21344, 21402, 21460, 21518, 21576, 21634, 21692, 21750, 21808, 21866, 21924, 21982, 22040, 22098, 22156, 22214, 22272, 22330, 22388, 22446, 22504, 22562, 22620, 22678, 22736, 22794, 22852, 22910, 22968, 23026, 23084, 23142, 23200, 23258, 23316, 23374, 23432, 23490, 23548, 23606, 23664, 23722, 23780, 23838, 23896, 23954, 24012, 24070, 24128, 24186, 24244, 24302, 24360, 24418, 24476, 24534, 24592, 24650, 24708, 24766, 24824, 24882, 24940, 24998, 25056, 25114, 25172, 25230, 25288, 25346, 25404, 25462, 25520, 25578, 25636, 25694, 25752, 25810, 25868, 25926, 25984, 26042, 26100, 26158, 26216, 26274, 26332, 26390, 26448, 26506, 26564, 26622, 26680, 26738, 26796, 26854, 26912, 26970, 27028, 27086, 27144, 27202, 27260, 27318, 27376, 27434, 27492, 27550, 27608, 27666, 27724, 27782, 27840, 27898, 27956, 28014, 28072, 28130, 28188, 28246, 28304, 28362, 28420, 28478, 28536, 28594, 28652, 28710, 28768, 28826, 28884, 28942, 29000, 29058, 29116, 29174, 29232, 29290, 29348, 29406, 29464, 29522, 29580, 29638, 29696, 29754, 29812, 29870, 29928, 29986, 30044, 30102, 30160, 30218, 30276, 30334, 30392, 30450, 30508, 30566, 30624, 30682, 30740, 30798, 30856, 30914, 30972, 31030, 31088, 31146, 31204, 31262, 31320, 31378, 31436, 31494, 31552, 31610, 31668, 31726, 31784, 31842, 31900, 31958, 32016, 32074, 32132, 32190, 32248, 32306, 32364, 32422, 32480, 32538, 32596, 32654, 32712, 32770, 32828, 32886, 32944, 33002, 33060, 33118, 33176, 33234, 33292, 33350, 33408, 33466, 33524, 33582, 33640, 33698, 33756, 33814, 33872, 33930, 33988, 34046, 34104, 34162, 34220, 34278, 34336, 34394, 34452, 34510, 34568, 34626, 34684, 34742, 34800, 34858, 34916, 34974, 35032, 35090, 35148, 35206, 35264, 35322, 35380, 35438, 35496, 35554, 35612, 35670, 35728, 35786, 35844, 35902, 35960, 36018, 36076, 36134, 36192, 36250, 36308, 36366, 36424, 36482, 36540, 36598, 36656, 36714, 36772, 36830, 36888, 36946, 37004, 37062, 37120, 37178, 37236, 37294, 37352, 37410, 37468, 37526, 37584, 37642, 37700, 37758, 37816, 37874, 37932, 37990, 38048, 38106, 38164, 38222, 38280, 38338, 38396, 38454, 38512, 38570, 38628, 38686, 38744, 38802, 38860, 38918, 38976, 39034, 39092, 39150, 39208, 39266, 39324, 39382, 39440, 39498, 39556, 39614, 39672, 39730, 39788, 39846, 39904, 39962, 40020, 40078, 40136, 40194, 40252, 40310, 40368, 40426, 40484, 40542, 40600, 40658, 40716, 40774, 40832, 40890, 40948, 41006, 41064, 41122, 41180, 41238, 41296, 41354, 41412, 41470, 41528, 41586, 41644, 41702, 41760, 41818, 41876, 41934, 41992, 42050, 42108, 42166, 42224, 42282, 42340, 42398, 42456, 42514, 42572, 42630, 42688, 42746, 42804, 42862, 42920, 42978, 43036, 43094, 43152, 43210, 43268, 43326, 43384, 43442, 43500, 43558, 43616, 43674, 43732, 43790, 43848, 43906, 43964, 44022, 44080, 44138, 44196, 44254, 44312, 44370, 44428, 44486, 44544, 44602, 44660, 44718, 44776, 44834, 44892, 44950, 45008, 45066, 45124, 45182, 45240, 45298, 45356, 45414, 45472, 45530, 45588, 45646, 45704, 45762, 45820, 45878, 45936, 45994, 46052, 46110, 46168, 46226, 46284, 46342, 46400, 46458, 46516, 46574, 46632, 46690, 46748, 46806, 46864, 46922, 46980, 47038, 47096, 47154, 47212, 47270, 47328, 47386, 47444, 47502, 47560, 47618, 47676, 47734, 47792, 47850, 47908, 47966, 48024, 48082, 48140, 48198, 48256, 48314, 48372, 48430, 48488, 48546, 48604, 48662, 48720, 48778, 48836, 48894, 48952, 49010, 49068, 49126, 49184, 49242, 49300, 49358, 49416, 49474, 49532, 49590, 49648, 49706, 49764, 49822, 49880, 49938, 49996, 50054, 50112, 50170, 50228, 50286, 50344, 50402, 50460, 50518, 50576, 50634, 50692, 50750, 50808, 50866, 50924, 50982, 51040, 51098, 51156, 51214, 51272, 51330, 51388, 51446, 51504, 51562, 51620, 51678, 51736, 51794, 51852, 51910, 51968, 52026, 52084, 52142, 52200, 52258, 52316, 52374, 52432, 52490, 52548, 52606, 52664, 52722, 52780, 52838, 52896, 52954, 53012, 53070, 53128, 53186, 53244, 53302, 53360, 53418, 53476, 53534, 53592, 53650, 53708, 53766, 53824, 53882, 53940, 53998, 54056, 54114, 54172, 54230, 54288, 54346, 54404, 54462, 54520, 54578, 54636, 54694, 54752, 54810, 54868, 54926, 54984, 55042, 55100, 55158, 55216, 55274, 55332, 55390, 55448, 55506, 55564, 55622, 55680, 55738, 55796, 55854, 55912, 55970, 56028, 56086, 56144, 56202, 56260, 56318, 56376, 56434, 56492, 56550, 56608, 56666, 56724, 56782, 56840, 56898, 56956, 57014, 57072, 57130, 57188, 57246, 57304, 57362, 57420, 57478, 57536, 57594, 57652, 57710, 57768, 57826, 57884, 57942, 58000, [...], 58
So the LCM for 29 and 58 is 58
Finding LCM for 29 and 58 by Prime Factorization
Another method to find LCM for numbers 29 and 58 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 29: 29 (exponent form: 291)
All Prime Factors of 58: 2, 29 (exponent form: 21, 291)
291 × 21 = 58
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
14 | 58 | 406 |
15 | 58 | 870 |
16 | 58 | 464 |
17 | 58 | 986 |
18 | 58 | 522 |
19 | 58 | 1102 |
20 | 58 | 580 |
21 | 58 | 1218 |
22 | 58 | 638 |
23 | 58 | 1334 |
24 | 58 | 696 |
25 | 58 | 1450 |
26 | 58 | 754 |
27 | 58 | 1566 |
28 | 58 | 812 |
29 | 58 | 58 |
30 | 58 | 870 |
31 | 58 | 1798 |
32 | 58 | 928 |
33 | 58 | 1914 |
34 | 58 | 986 |
35 | 58 | 2030 |
36 | 58 | 1044 |
37 | 58 | 2146 |
38 | 58 | 1102 |
39 | 58 | 2262 |
40 | 58 | 1160 |
41 | 58 | 2378 |
42 | 58 | 1218 |
43 | 58 | 2494 |
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