LCM for 10 and 59
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What's the Least Common Multiple (LCM) of 10 and 59?
Answer
LCM of 10 and 59 is
590
First common multiples: 590; 1,180; 1,770; …
590 is divisible by both: 590 ÷ 10 = 59, 590 ÷ 59 = 10 — and 59 and 10 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 59 and of y/59 by 10.
10 and 59 are coprime (GCF = 1), so their LCM is simply the product: 10 × 59 = 590.
10 = 2 × 5
59 — prime
| Prime | 10 | 59 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 5 | 5 | — | 5 |
| 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 = 2 × 5 × 59 = 590
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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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