LCM for 13 and 15
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What's the Least Common Multiple (LCM) of 13 and 15?
Answer
LCM of 13 and 15 is
195
First common multiples: 195, 390, 585, …
195 is divisible by both: 195 ÷ 13 = 15, 195 ÷ 15 = 13 — and 15 and 13 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/13 by 15 and of y/15 by 13.
13 and 15 are coprime (GCF = 1), so their LCM is simply the product: 13 × 15 = 195.
13 — prime
15 = 3 × 5
| Prime | 13 | 15 | Highest power |
|---|---|---|---|
| 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 = 3 × 5 × 13 = 195
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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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