LCM for 51 and 59
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What's the Least Common Multiple (LCM) of 51 and 59?
Answer
LCM of 51 and 59 is
3,009
First common multiples: 3,009; 6,018; 9,027; …
3,009 is divisible by both: 3,009 ÷ 51 = 59; 3,009 ÷ 59 = 51 — and 59 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 59 and of y/59 by 51.
51 and 59 are coprime (GCF = 1), so their LCM is simply the product: 51 × 59 = 3,009.
51 = 3 × 17
59 — prime
| Prime | 51 | 59 | Highest power |
|---|---|---|---|
| 3 | 3 | — | 3 |
| 17 | 17 | — | 17 |
| 59 | — | 59 | 59 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 3 × 17 × 59 = 3,009
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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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