SOLUTION: Find the least common multiple of 12 and 18

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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
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12 = 2^2*3
18 = 2*3^2
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The LCM is the product of each of the prime factors in its highest power.
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LCM = 2^2*3^2 = 4*9 = 36
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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

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