LCM for 15 and 19
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What's the Least Common Multiple (LCM) of 15 and 19?
Answer
LCM of 15 and 19 is
285
First common multiples: 285, 570, 855, …
285 is divisible by both: 285 ÷ 15 = 19, 285 ÷ 19 = 15 — and 19 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 19 and of y/19 by 15.
15 and 19 are coprime (GCF = 1), so their LCM is simply the product: 15 × 19 = 285.
15 = 3 × 5
19 — prime
| Prime | 15 | 19 | Highest power |
|---|---|---|---|
| 3 | 3 | — | 3 |
| 5 | 5 | — | 5 |
| 19 | — | 19 | 19 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 3 × 5 × 19 = 285
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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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