SOLUTION: finding the least common multiple of 120 and 135

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Question 498901: finding the least common multiple of 120 and 135
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the LCM of 120 and 135.
First, find the prime factors of each of the two numbers using exponents for repeated factors:
120: 2*2*2*3*3*3*5 = 2%5E3%2A3%5E3%2A5
135: 3*3*3*5 = 3%5E3%2A5
Now, from the two lists of prime factors, take the product of the highest power of each factor.
2%5E3%2A3%5E3%2A5+=+1080
The LCD of 120 and 135 is 1080.