LCM for 85 and 100
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What's the Least Common Multiple (LCM) of 85 and 100?
Answer
LCM of 85 and 100 is
1,700
First common multiples: 1,700; 3,400; 5,100; …
1,700 is divisible by both: 1,700 ÷ 85 = 20; 1,700 ÷ 100 = 17 — and 20 and 17 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/85 by 20 and of y/100 by 17.
85 = 5 × 17
100 = 22 × 52
| Prime | 85 | 100 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 5 | 5 | 52 | 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 = 22 × 52 × 17 = 1,700
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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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