LCM for 80 and 175
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What's the Least Common Multiple (LCM) of 80 and 175?
Answer
LCM of 80 and 175 is
2,800
First common multiples: 2,800; 5,600; 8,400; …
2,800 is divisible by both: 2,800 ÷ 80 = 35; 2,800 ÷ 175 = 16 — and 35 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 35 and of y/175 by 16.
80 = 24 × 5
175 = 52 × 7
| Prime | 80 | 175 | Highest power |
|---|---|---|---|
| 2 | 24 | — | 24 |
| 5 | 5 | 52 | 52 |
| 7 | — | 7 | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 52 × 7 = 2,800
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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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