LCM for 15 and 10
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What's the Least Common Multiple (LCM) of 15 and 10?
Answer
LCM of 15 and 10 is
30
First common multiples: 30, 60, 90, …
30 is divisible by both: 30 ÷ 15 = 2, 30 ÷ 10 = 3 — and 2 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/15 by 2 and of y/10 by 3.
15 = 3 × 5
10 = 2 × 5
| Prime | 15 | 10 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | 3 | — | 3 |
| 5 | 5 | 5 | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 5 = 30
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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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