SOLUTION: Find the least common multiple of 12 and 18

Click here to see ALL problems on Numeric Fractions

Question 207579: Find the least common multiple of 12 and 18

Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Find the least common multiple of 12 and 18
------------------------------
12 = 2^2*3
18 = 2*3^2
---------------------
The LCM is the product of each of the prime factors in its highest power.
---
LCM = 2^2*3^2 = 4*9 = 36
==================================
Cheers,
Stan H.

Answer by Edwin McCravy(20054) (Show Source):
You can put this solution on YOUR website!
Find the least common multiple of 12 and 18

Break them down into primes: 12 has more 2 factors than 18 has, so the LCM will have the same number of 2 factors as 12. So the LCM has two 2 factors. 18 has more 3 factors than 12 has, so the LCM will have the same number of 3 factors as 18. So the LCM has two 3 factors. LCM=2*2*3*3 = 36 Edwin