How do you find the Least common multiple of 24, 32?

1 Answer
Dec 16, 2016

96

Explanation:

Write the prime factorization of both the numbers.

24 = color(red)2xxcolor(red)2xxcolor(red)2xxcolor(blue)3

32 = color(red)2xxcolor(red)2xxcolor(red)2xxcolor(blue)2xxcolor(blue)2

Then, seperate the common factors, which is color(red)2^3 in this case and the factors which are not common, that are color(blue)2^2xxcolor(blue)3.

Multiply them to get color(red)2^3xxcolor(blue)2^2xxcolor(blue)3 = 96

This is the LCM.