LCM for 20 and 27
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What's the Least Common Multiple (LCM) of 20 and 27?
Answer
LCM of 20 and 27 is
540
First common multiples: 540; 1,080; 1,620; …
540 is divisible by both: 540 ÷ 20 = 27, 540 ÷ 27 = 20 — and 27 and 20 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/20 by 27 and of y/27 by 20.
20 and 27 are coprime (GCF = 1), so their LCM is simply the product: 20 × 27 = 540.
20 = 22 × 5
27 = 33
| Prime | 20 | 27 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | — | 33 | 33 |
| 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 = 22 × 33 × 5 = 540
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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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