LCM for 27 and 40
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What's the Least Common Multiple (LCM) of 27 and 40?
Answer
LCM of 27 and 40 is
1,080
First common multiples: 1,080; 2,160; 3,240; …
1,080 is divisible by both: 1,080 ÷ 27 = 40; 1,080 ÷ 40 = 27 — and 40 and 27 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/27 by 40 and of y/40 by 27.
27 and 40 are coprime (GCF = 1), so their LCM is simply the product: 27 × 40 = 1,080.
27 = 33
40 = 23 × 5
| Prime | 27 | 40 | Highest power |
|---|---|---|---|
| 2 | — | 23 | 23 |
| 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 = 23 × 33 × 5 = 1,080
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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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