Find the LCM of Denominators: Calculating LCM(3,4)

Question

You have a pair of denominators, what is their least common multiple?

3   4 \boxed 3~~~\boxed 4

Step-by-Step Solution

To find the least common multiple (LCM) of 33 and 44, we list the multiples of each number until we find the smallest multiple they have in common.

Multiples of 33: 3,6,9,12,15,3, 6, 9, 12, 15, \ldots

Multiples of 44: 4,8,12,16,20,4, 8, 12, 16, 20, \ldots

The smallest common multiple is 1212.

Answer

12