Find the least common multiple of 9w2 and 12w4 .

9w² and 12w⁴

9w² = 3*3w²
12w⁴ = 3*4*w⁴

To create Least common multiple we need 
1) all numbers, and if they are repeating more than one time, we take largest number of repetitions (we have 2 repetitions of 3 in 9, so we will take 3*3)
So, for number part 3*3*4 = 36

2) For letter part, we will take the letter with the highest exponent. So, we will take w⁴.

3) Final answer is 3*3*3*4w⁴ = 36w⁴