LCM for 10 and 13
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What's the Least Common Multiple (LCM) of 10 and 13?
Answer
LCM of 10 and 13 is
130
First common multiples: 130, 260, 390, …
130 is divisible by both: 130 ÷ 10 = 13, 130 ÷ 13 = 10 — and 13 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 13 and of y/13 by 10.
10 and 13 are coprime (GCF = 1), so their LCM is simply the product: 10 × 13 = 130.
10 = 2 × 5
13 — prime
| Prime | 10 | 13 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 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 = 2 × 5 × 13 = 130
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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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