find the least common multiple (lcm) of 9 and 6.

Explanation:

Step1: Prime - factorize the numbers

$9 = 3\times3$; $6=2\times3$

Step2: Identify the highest - power factors

For factor 2, the highest power is $2^1$. For factor 3, the highest power is $3^2$.

Step3: Calculate the LCM

$LCM(9,6)=2^1\times3^2 = 2\times9=18$

Answer:

18