LCM for 27 and 28
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What's the Least Common Multiple (LCM) of 27 and 28?
Answer
LCM of 27 and 28 is
756
First common multiples: 756; 1,512; 2,268; …
756 is divisible by both: 756 ÷ 27 = 28, 756 ÷ 28 = 27 — and 28 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 28 and of y/28 by 27.
27 and 28 are coprime (GCF = 1), so their LCM is simply the product: 27 × 28 = 756.
27 = 33
28 = 22 × 7
| Prime | 27 | 28 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 3 | 33 | — | 33 |
| 7 | — | 7 | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 33 × 7 = 756
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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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