Find the LCM: Calculating Least Common Multiple of 8 and 12

Question

Determine the least common multiple of 8 and 12.

8   12 \boxed 8~~~\boxed{ 12}

Step-by-Step Solution

To find the least common multiple (LCM) of the numbers 8 and 12, we will list the multiples of each number and find the smallest multiple they have in common.

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

Multiples of 12: 12,24,36,48, 12, 24, 36, 48, \ldots

The smallest common multiple is 24 24 .

Answer

24