What is the Least Common Multiple of 6, 8 and 9?

To find the least common multiple (LCM) of 6, 8, and 9, we can follow these steps:

Find the prime factorization of each number.

The prime factorization of 6 is 2 x 3.
The prime factorization of 8 is 2 x 2 x 2.
The prime factorization of 9 is 3 x 3.
Identify the highest power of each prime factor that appears in any of the factorizations.

The highest power of 2 is 2 x 2 x 2 = 8.
The highest power of 3 is 3 x 3 = 9.
Multiply the highest powers obtained in step 2:
LCM = 8 x 9 = 72.

Therefore, the least common multiple of 6, 8, and 9 is 72.