LCM for 75 and 85
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What's the Least Common Multiple (LCM) of 75 and 85?
Answer
LCM of 75 and 85 is
1,275
First common multiples: 1,275; 2,550; 3,825; …
1,275 is divisible by both: 1,275 ÷ 75 = 17; 1,275 ÷ 85 = 15 — and 17 and 15 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/75 by 17 and of y/85 by 15.
75 = 3 × 52
85 = 5 × 17
| Prime | 75 | 85 | Highest power |
|---|---|---|---|
| 3 | 3 | — | 3 |
| 5 | 52 | 5 | 52 |
| 17 | — | 17 | 17 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 3 × 52 × 17 = 1,275
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- 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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