What is the least common multiple of 4 and 6. Show your work

The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers.

To find the LCM of 4 and 6, we can list the multiples of each number and find the smallest number that appears in both lists.

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

The least common multiple of 4 and 6 is 12.