Calculate LCM: Finding the Least Common Multiple of 6, 8, and 9

To find the least common multiple (LCM) of $6$, $8$ and $9$, we start by finding the prime factors of each number:

$6 = 2 \, \times \, 3$

$8 = 2^3$

$9 = 3^2$

The LCM is found by taking the highest power of each prime that appears in these factorizations:

$2^3$ (from 8), and $3^2$ (from 9).

The LCM is $2^3 \, \times \, 3^2 = 8 \, \times \, 9 = 72$.