LCM for 56 and 58
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What's the Least Common Multiple (LCM) of 56 and 58?
Answer
LCM of 56 and 58 is
1,624
First common multiples: 1,624; 3,248; 4,872; …
1,624 is divisible by both: 1,624 ÷ 56 = 29; 1,624 ÷ 58 = 28 — and 29 and 28 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/56 by 29 and of y/58 by 28.
56 = 23 × 7
58 = 2 × 29
| Prime | 56 | 58 | Highest power |
|---|---|---|---|
| 2 | 23 | 2 | 23 |
| 7 | 7 | — | 7 |
| 29 | — | 29 | 29 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 7 × 29 = 1,624
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- 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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