find the least common multiple (lcm) of 9 and...
find the least common multiple (lcm) of 9 and 12.
Answer
# Answer:
36
# Explanation:
## Step1: Prime - factorize the numbers
$9 = 3\times3$; $12=2\times2\times3$
## Step2: Determine the highest - power factors
For 2, the highest power is $2^2$. For 3, the highest power is $3^2$.
## Step3: Calculate the LCM
$LCM(9,12)=2^2\times3^2=4\times9 = 36$