LCM for 40 and 115
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What's the Least Common Multiple (LCM) of 40 and 115?
Answer
LCM of 40 and 115 is
920
First common multiples: 920; 1,840; 2,760; …
920 is divisible by both: 920 ÷ 40 = 23, 920 ÷ 115 = 8 — and 23 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 23 and of y/115 by 8.
40 = 23 × 5
115 = 5 × 23
| Prime | 40 | 115 | Highest power |
|---|---|---|---|
| 2 | 23 | — | 23 |
| 5 | 5 | 5 | 5 |
| 23 | — | 23 | 23 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 5 × 23 = 920
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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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