LCM for 27 and 125
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What's the Least Common Multiple (LCM) of 27 and 125?
Answer
LCM of 27 and 125 is
3,375
First common multiples: 3,375; 6,750; 10,125; …
3,375 is divisible by both: 3,375 ÷ 27 = 125; 3,375 ÷ 125 = 27 — and 125 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 125 and of y/125 by 27.
27 and 125 are coprime (GCF = 1), so their LCM is simply the product: 27 × 125 = 3,375.
27 = 33
125 = 53
| Prime | 27 | 125 | Highest power |
|---|---|---|---|
| 3 | 33 | — | 33 |
| 5 | — | 53 | 53 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 33 × 53 = 3,375
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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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