LCM for 56 and 80
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What's the Least Common Multiple (LCM) of 56 and 80?
Answer
LCM of 56 and 80 is
560
First common multiples: 560; 1,120; 1,680; …
560 is divisible by both: 560 ÷ 56 = 10, 560 ÷ 80 = 7 — and 10 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/56 by 10 and of y/80 by 7.
56 = 23 × 7
80 = 24 × 5
| Prime | 56 | 80 | Highest power |
|---|---|---|---|
| 2 | 23 | 24 | 24 |
| 5 | — | 5 | 5 |
| 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 × 5 × 7 = 560
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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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