What is the lcm of 12 and 15?

The LCM (Least Common Multiple) of 12 and 15 is the smallest positive integer that is divisible by both 12 and 15 without leaving a remainder.

To find the LCM, we can list the multiples of each number and find the smallest common multiple.

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...

Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, ...

From the lists, we can see that the least common multiple of 12 and 15 is 60.

Therefore, the LCM of 12 and 15 is 60.