What is the lcm of 10 and 12?

The least common multiple (LCM) of two numbers is the smallest number that both numbers can divide evenly into.

To find the LCM of 10 and 12, we first need to find the prime factors of each number:

• The prime factors of 10 are 2 and 5 (10 = 2 x 5)
• The prime factors of 12 are 2, 2, and 3 (12 = 2 x 2 x 3)

To find the LCM, we take the highest power of each prime factor that appears in either number:

• The LCM of 10 and 12 is 2^2 x 3 x 5 = 60

Therefore, the LCM of 10 and 12 is 60.