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Show me the format to finding the LCM of 18 and 32.?

Updated: 8/20/2019
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11y ago

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First, get the prime factorization of 18 and 32:

18= 2x3x3 or 2x32

32= 2x2x2x2x2 or 25

GCF: Get the common factors of 18 and 32

18=...2 ............3..3

32=...2 2 2 2 2

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GCF= 2

LCM:

18=...2.....................3..3

32=...2...2...2...2...2

------------------------------------------

LCM=2 x2 x2 x 2 x 2x3x3

=288

Therefore, the GCF=2 and the LCM=288.

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Q: Show me the format to finding the LCM of 18 and 32.?
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The least common multiple of 9 and 18 is 18. Because 18 is a multiple of 9, it is automatically the LCM. You can also find the LCM of a pair of numbers by dividing their product by their GCF. The product of 9 and 18 is 162. The GCF of 9 and 18 is 9. (Because 9 is a factor of 18, it is automatically the greatest common factor of the pair.) So the least common multiple of 9 and 18 is 162/9 = 18. Another strategy for finding the LCM is listing the multiples of each number, then finding the lowest multiple that is in both lists. The multiples of 9 are 9, 18, 27, and so on. The multiples of 18 are 18, 36, 54, and so on. So the LCM of 9 and 18 is 18.


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