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What is the LCM of 54 and 32?

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โˆ™ 2014-01-12 15:07:22

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Find LCM(32,54).

32 = 2 x 2 x 2 x 2 x 2

54 = 2 x 3 x 3 x 3

LCM(32,54) = (32 x 54) / GCF(32,54)

GCF(32,54) = 2

LCM(32,54) = (32 x 54) / 2

LCM(32,54) = 1728/2

LCM(32,54) = 864

To check to make sure you have the smallest common multiple, divide the LCM by the original numbers (32 and 54). If the GCF of those new numbers is 1, the common multiple that you have is the smallest one.

864 / 32 = 27

864 / 54 = 16

27 = 3 x 3 x 3

16 = 2 x 2 x 2 x 2

GCF(16,27) =? 1

This is true, they have no common factors other than one.

864 is the correct answer.

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โˆ™ 2011-04-26 14:24:05
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โˆ™ 2014-01-12 15:07:22

864.

54 = 2 x 33

32 = 25

lcm = 25 x 33 = 864

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