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Since 16 is a multiple of 8, we can ignore 8 when determining the least common multiple of 14, 8, and 16. The prime factors of 14 are 2 and 7. The prime factors of 16 are 2, 2, 2, and 2. So the least common multiple needs 2, 2, 2, and 2 from 16. Since we already have a 2, we only need the 7 from 14. The least common multiple is 2 x 2 x 2 x 2 x 7 = 112.

Doublecheck:

112 / 14 = 8

112 / 16 = 7

112 / 8 = 14

Since 8 and 7 (the results of dividing by 14 and 16) are relatively prime, this is the least common multiple.

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โˆ™ 2016-11-20 01:23:00
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โˆ™ 2016-11-12 16:08:06

The least common multiple (LCM) refers to a multiple that is COMMON to two or more numbers. You have only one number in the question! The least multiple of a number is itself.

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Q: What is the LCM of 14 8 and 16?
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