LCM for 13 and 56
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What's the Least Common Multiple (LCM) of 13 and 56?
Answer
LCM of 13 and 56 is
728
First common multiples: 728; 1,456; 2,184; …
728 is divisible by both: 728 ÷ 13 = 56, 728 ÷ 56 = 13 — and 56 and 13 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/13 by 56 and of y/56 by 13.
13 and 56 are coprime (GCF = 1), so their LCM is simply the product: 13 × 56 = 728.
13 — prime
56 = 23 × 7
| Prime | 13 | 56 | Highest power |
|---|---|---|---|
| 2 | — | 23 | 23 |
| 7 | — | 7 | 7 |
| 13 | 13 | — | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 7 × 13 = 728
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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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