LCM for 15 and 52
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What's the Least Common Multiple (LCM) of 15 and 52?
Answer
LCM of 15 and 52 is
780
First common multiples: 780; 1,560; 2,340; …
780 is divisible by both: 780 ÷ 15 = 52, 780 ÷ 52 = 15 — and 52 and 15 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/15 by 52 and of y/52 by 15.
15 and 52 are coprime (GCF = 1), so their LCM is simply the product: 15 × 52 = 780.
15 = 3 × 5
52 = 22 × 13
| Prime | 15 | 52 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 3 | 3 | — | 3 |
| 5 | 5 | — | 5 |
| 13 | — | 13 | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 × 5 × 13 = 780
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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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