LCM for 80 and 405
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What's the Least Common Multiple (LCM) of 80 and 405?
Answer
LCM of 80 and 405 is
6,480
First common multiples: 6,480; 12,960; 19,440; …
6,480 is divisible by both: 6,480 ÷ 80 = 81; 6,480 ÷ 405 = 16 — and 81 and 16 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/80 by 81 and of y/405 by 16.
80 = 24 × 5
405 = 34 × 5
| Prime | 80 | 405 | Highest power |
|---|---|---|---|
| 2 | 24 | — | 24 |
| 3 | — | 34 | 34 |
| 5 | 5 | 5 | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 34 × 5 = 6,480
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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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