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