LCM for 34 and 85
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What's the Least Common Multiple (LCM) of 34 and 85?
Answer
LCM of 34 and 85 is
170
First common multiples: 170, 340, 510, …
170 is divisible by both: 170 ÷ 34 = 5, 170 ÷ 85 = 2 — and 5 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/34 by 5 and of y/85 by 2.
34 = 2 × 17
85 = 5 × 17
| Prime | 34 | 85 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 5 | — | 5 | 5 |
| 17 | 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 = 2 × 5 × 17 = 170
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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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LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 34 | 70 | 1,190 |
| 34 | 71 | 2,414 |
| 34 | 72 | 1,224 |
| 34 | 73 | 2,482 |
| 34 | 74 | 1,258 |
| 34 | 75 | 2,550 |
| 34 | 76 | 1,292 |
| 34 | 77 | 2,618 |
| 34 | 78 | 1,326 |
| 34 | 79 | 2,686 |
| 34 | 80 | 1,360 |
| 34 | 81 | 2,754 |
| 34 | 82 | 1,394 |
| 34 | 83 | 2,822 |
| 34 | 84 | 1,428 |
| 34 | 85 | 170 |
| 34 | 86 | 1,462 |
| 34 | 87 | 2,958 |
| 34 | 88 | 1,496 |
| 34 | 89 | 3,026 |
| 34 | 90 | 1,530 |
| 34 | 91 | 3,094 |
| 34 | 92 | 1,564 |
| 34 | 93 | 3,162 |
| 34 | 94 | 1,598 |
| 34 | 95 | 3,230 |
| 34 | 96 | 1,632 |
| 34 | 97 | 3,298 |
| 34 | 98 | 1,666 |
| 34 | 99 | 3,366 |