LCM of 736 and 724

What is the LCM of 736 and 724? - The LCM of 736 and 724 is 133216. Follow the step by step instructions on how to find the least common multiple of 736 and 724.

What is the least common multiple of 736 and 724?

How to find the lcm of 736 and 724?

To find the lcm of 736 and 724, we first need to find the multiples of 736 and 724 and then choose the least common multiple that are dividable by 736 and 724.

Multiples of 736 = 736, 1472, 2208, 2944, 3680, 4416, 5152, 5888, 6624, 7360, 8096, 8832, 9568, 10304, 11040, 11776, 12512, 13248, 13984, 14720, 15456, 16192, 16928, 17664, 18400, 19136, 19872, 20608, 21344, 22080, 22816, 23552, 24288, 25024, 25760, 26496, 27232, 27968, 28704, 29440, 30176, 30912, 31648, 32384, 33120, 33856, 34592, 35328, 36064, 36800, 37536, 38272, 39008, 39744, 40480, 41216, 41952, 42688, 43424, 44160, 44896, 45632, 46368, 47104, 47840, 48576, 49312, 50048, 50784, 51520, 52256, 52992, 53728, 54464, 55200, 55936, 56672, 57408, 58144, 58880, 59616, 60352, 61088, 61824, 62560, 63296, 64032, 64768, 65504, 66240, 66976, 67712, 68448, 69184, 69920, 70656, 71392, 72128, 72864, 73600, 74336, 75072, 75808, 76544, 77280, 78016, 78752, 79488, 80224, 80960, 81696, 82432, 83168, 83904, 84640, 85376, 86112, 86848, 87584, 88320, 89056, 89792, 90528, 91264, 92000, 92736, 93472, 94208, 94944, 95680, 96416, 97152, 97888, 98624, 99360, 100096, 100832, 101568, 102304, 103040, 103776, 104512, 105248, 105984, 106720, 107456, 108192, 108928, 109664, 110400, 111136, 111872, 112608, 113344, 114080, 114816, 115552, 116288, 117024, 117760, 118496, 119232, 119968, 120704, 121440, 122176, 122912, 123648, 124384, 125120, 125856, 126592, 127328, 128064, 128800, 129536, 130272, 131008, 131744, 132480, 133216
Multiples of 724 = 724, 1448, 2172, 2896, 3620, 4344, 5068, 5792, 6516, 7240, 7964, 8688, 9412, 10136, 10860, 11584, 12308, 13032, 13756, 14480, 15204, 15928, 16652, 17376, 18100, 18824, 19548, 20272, 20996, 21720, 22444, 23168, 23892, 24616, 25340, 26064, 26788, 27512, 28236, 28960, 29684, 30408, 31132, 31856, 32580, 33304, 34028, 34752, 35476, 36200, 36924, 37648, 38372, 39096, 39820, 40544, 41268, 41992, 42716, 43440, 44164, 44888, 45612, 46336, 47060, 47784, 48508, 49232, 49956, 50680, 51404, 52128, 52852, 53576, 54300, 55024, 55748, 56472, 57196, 57920, 58644, 59368, 60092, 60816, 61540, 62264, 62988, 63712, 64436, 65160, 65884, 66608, 67332, 68056, 68780, 69504, 70228, 70952, 71676, 72400, 73124, 73848, 74572, 75296, 76020, 76744, 77468, 78192, 78916, 79640, 80364, 81088, 81812, 82536, 83260, 83984, 84708, 85432, 86156, 86880, 87604, 88328, 89052, 89776, 90500, 91224, 91948, 92672, 93396, 94120, 94844, 95568, 96292, 97016, 97740, 98464, 99188, 99912, 100636, 101360, 102084, 102808, 103532, 104256, 104980, 105704, 106428, 107152, 107876, 108600, 109324, 110048, 110772, 111496, 112220, 112944, 113668, 114392, 115116, 115840, 116564, 117288, 118012, 118736, 119460, 120184, 120908, 121632, 122356, 123080, 123804, 124528, 125252, 125976, 126700, 127424, 128148, 128872, 129596, 130320, 131044, 131768, 132492, 133216

The least common multiple of 736 and 724 is 133216, because 133216 is the smallest number that is divisible by both 736 and 724.

Another method to find the least common multiple of 736 and 724 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 736 and 724, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 736 = 2 x 2 x 2 x 2 x 2 x 23 = 2⁵ x 23
Prime factorization of 724 = 2 x 2 x 181 = 2² x 181
Prime factors to the highest power = 181 x 2⁵ x 23 = 133216