LCM for 40 and 125
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What's the Least Common Multiple (LCM) of 40 and 125?
Answer
LCM of 40 and 125 is
1,000
First common multiples: 1,000; 2,000; 3,000; …
1,000 is divisible by both: 1,000 ÷ 40 = 25; 1,000 ÷ 125 = 8 — and 25 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/40 by 25 and of y/125 by 8.
40 = 23 × 5
125 = 53
| Prime | 40 | 125 | Highest power |
|---|---|---|---|
| 2 | 23 | — | 23 |
| 5 | 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 = 23 × 53 = 1,000
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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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