LCM for 72 and 80
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What's the Least Common Multiple (LCM) of 72 and 80?
Answer
LCM of 72 and 80 is
720
First common multiples: 720; 1,440; 2,160; …
720 is divisible by both: 720 ÷ 72 = 10, 720 ÷ 80 = 9 — and 10 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/72 by 10 and of y/80 by 9.
72 = 23 × 32
80 = 24 × 5
| Prime | 72 | 80 | Highest power |
|---|---|---|---|
| 2 | 23 | 24 | 24 |
| 3 | 32 | — | 32 |
| 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 × 32 × 5 = 720
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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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