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How do you find LCM?

Guest Feb 14, 2017
 #1
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there are calculators on line that will do that...or

example

LCM of 16   24  

Prime factorization

 

16   2 x 2 x 2 x 2

24   2 x 2 x 2 x 3    

          take all of the unique factors from each pair ONCE (red)     2 x 2 x 2 x 2 x 3 = 48 = lcm    

ElectricPavlov  Feb 14, 2017
edited by ElectricPavlov  Feb 14, 2017
 #2
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Here is the same thing stated slightly differently:

 

Find the least common multiple:
lcm(16, 24)
Find the prime factorization of each integer:
The prime factorization of 16 is:
16 = 2^4
The prime factorization of 24 is:
24 = 2^3×3
Find the largest power of each prime factor.
The largest power of 2 that appears in the prime factorizations is 2^4.
The largest power of 3 that appears in the prime factorizations is 3^1.
Therefore lcm(16, 24) = 2^4×3^1:
Answer: |lcm(16, 24) = 48

Guest Feb 14, 2017

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