What is the least common multiple of 96 and 84?

Answer 1

Least common multiple is computed by finding both factor trees and using the greatest power of all common factors

factors or 84 are 2,2,3,7 so, [2^2 * 3 * 7]

factors of 96 are 2,2,2,2,2,3 so [2^5 * 3]

LCM is 2^5 * 3 * 7 = 672

Always check. Divide the answer by the original numbers and check if the quotients are relatively prime.

672 / 84 = 8

672 / 96 = 7

8 and 7 have no factors in common, so this is the answer.

If they did have a common factor, you would have to divide by that factor to get the answer, because you had missed one in your factor tree.

Answer 2

LCM(96, 84) = 672

Answer 3

672