LCM for 20 and 170
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What's the Least Common Multiple (LCM) of 20 and 170?
Answer
LCM of 20 and 170 is
340
First common multiples: 340; 680; 1,020; …
340 is divisible by both: 340 ÷ 20 = 17, 340 ÷ 170 = 2 — and 17 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/20 by 17 and of y/170 by 2.
20 = 22 × 5
170 = 2 × 5 × 17
| Prime | 20 | 170 | Highest power |
|---|---|---|---|
| 2 | 22 | 2 | 22 |
| 5 | 5 | 5 | 5 |
| 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 × 5 × 17 = 340
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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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