What is the lcm of 9 and 12?

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

To find the LCM of 9 and 12, we first need to find the prime factors of each number:

  • The prime factors of 9 are 3 x 3
  • The prime factors of 12 are 2 x 2 x 3

To find the LCM, we need to multiply all the unique prime factors of both numbers together: 2 x 2 x 3 x 3 = 36

Therefore, the LCM of 9 and 12 is 36.