LCM for 13 and 30
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What's the Least Common Multiple (LCM) of 13 and 30?
Answer
LCM of 13 and 30 is
390
First common multiples: 390; 780; 1,170; …
390 is divisible by both: 390 ÷ 13 = 30, 390 ÷ 30 = 13 — and 30 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 30 and of y/30 by 13.
13 and 30 are coprime (GCF = 1), so their LCM is simply the product: 13 × 30 = 390.
13 — prime
30 = 2 × 3 × 5
| Prime | 13 | 30 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 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 = 2 × 3 × 5 × 13 = 390
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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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