Question

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

Answer 1

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.