LCM of 416 and 388

What is the LCM of 416 and 388? - The LCM of 416 and 388 is 40352. Follow the step by step instructions on how to find the least common multiple of 416 and 388.

What is the least common multiple of 416 and 388?

How to find the lcm of 416 and 388?

To find the lcm of 416 and 388, we first need to find the multiples of 416 and 388 and then choose the least common multiple that are dividable by 416 and 388.

Multiples of 416 = 416, 832, 1248, 1664, 2080, 2496, 2912, 3328, 3744, 4160, 4576, 4992, 5408, 5824, 6240, 6656, 7072, 7488, 7904, 8320, 8736, 9152, 9568, 9984, 10400, 10816, 11232, 11648, 12064, 12480, 12896, 13312, 13728, 14144, 14560, 14976, 15392, 15808, 16224, 16640, 17056, 17472, 17888, 18304, 18720, 19136, 19552, 19968, 20384, 20800, 21216, 21632, 22048, 22464, 22880, 23296, 23712, 24128, 24544, 24960, 25376, 25792, 26208, 26624, 27040, 27456, 27872, 28288, 28704, 29120, 29536, 29952, 30368, 30784, 31200, 31616, 32032, 32448, 32864, 33280, 33696, 34112, 34528, 34944, 35360, 35776, 36192, 36608, 37024, 37440, 37856, 38272, 38688, 39104, 39520, 39936, 40352
Multiples of 388 = 388, 776, 1164, 1552, 1940, 2328, 2716, 3104, 3492, 3880, 4268, 4656, 5044, 5432, 5820, 6208, 6596, 6984, 7372, 7760, 8148, 8536, 8924, 9312, 9700, 10088, 10476, 10864, 11252, 11640, 12028, 12416, 12804, 13192, 13580, 13968, 14356, 14744, 15132, 15520, 15908, 16296, 16684, 17072, 17460, 17848, 18236, 18624, 19012, 19400, 19788, 20176, 20564, 20952, 21340, 21728, 22116, 22504, 22892, 23280, 23668, 24056, 24444, 24832, 25220, 25608, 25996, 26384, 26772, 27160, 27548, 27936, 28324, 28712, 29100, 29488, 29876, 30264, 30652, 31040, 31428, 31816, 32204, 32592, 32980, 33368, 33756, 34144, 34532, 34920, 35308, 35696, 36084, 36472, 36860, 37248, 37636, 38024, 38412, 38800, 39188, 39576, 39964, 40352

The least common multiple of 416 and 388 is 40352, because 40352 is the smallest number that is divisible by both 416 and 388.

Another method to find the least common multiple of 416 and 388 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 416 and 388, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 416 = 2 x 2 x 2 x 2 x 2 x 13 = 2⁵ x 13
Prime factorization of 388 = 2 x 2 x 97 = 2² x 97
Prime factors to the highest power = 13 x 2⁵ x 97 = 40352