LCM for 7 and 16
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What's the Least Common Multiple (LCM) of 7 and 16?
Answer
LCM of 7 and 16 is
112
First common multiples: 112, 224, 336, …
112 is divisible by both: 112 ÷ 7 = 16, 112 ÷ 16 = 7 — and 16 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/7 by 16 and of y/16 by 7.
7 and 16 are coprime (GCF = 1), so their LCM is simply the product: 7 × 16 = 112.
7 — prime
16 = 24
| Prime | 7 | 16 | Highest power |
|---|---|---|---|
| 2 | — | 24 | 24 |
| 7 | 7 | — | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 7 = 112
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See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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