LCM for 27 and 64
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What's the Least Common Multiple (LCM) of 27 and 64?
Answer
LCM of 27 and 64 is
1,728
First common multiples: 1,728; 3,456; 5,184; …
1,728 is divisible by both: 1,728 ÷ 27 = 64; 1,728 ÷ 64 = 27 — and 64 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 64 and of y/64 by 27.
27 and 64 are coprime (GCF = 1), so their LCM is simply the product: 27 × 64 = 1,728.
27 = 33
64 = 26
| Prime | 27 | 64 | Highest power |
|---|---|---|---|
| 2 | — | 26 | 26 |
| 3 | 33 | — | 33 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 26 × 33 = 1,728
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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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