Find the LCM of Denominators: Calculating LCM(6,8)

Question

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

6   8 \boxed 6~~~\boxed 8

Step-by-Step Solution

To find the least common multiple (LCM) of 66 and 88, list the multiples of each number until the smallest common multiple appears.

Multiples of 66: 6,12,18,24,30,6, 12, 18, 24, 30, \ldots

Multiples of 88: 8,16,24,32,40,8, 16, 24, 32, 40, \ldots

The smallest common multiple is 2424.

Answer

24