LCM for 51 and 58
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What's the Least Common Multiple (LCM) of 51 and 58?
Answer
LCM of 51 and 58 is
2,958
First common multiples: 2,958; 5,916; 8,874; …
2,958 is divisible by both: 2,958 ÷ 51 = 58; 2,958 ÷ 58 = 51 — and 58 and 51 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/51 by 58 and of y/58 by 51.
51 and 58 are coprime (GCF = 1), so their LCM is simply the product: 51 × 58 = 2,958.
51 = 3 × 17
58 = 2 × 29
| Prime | 51 | 58 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | 3 | — | 3 |
| 17 | 17 | — | 17 |
| 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 = 2 × 3 × 17 × 29 = 2,958
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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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