Question

what is the least common multiple of 6 and 9?

Explanation:

Step1: Prime - factorize the numbers

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

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

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

Answer:

18