LCM for 51 and 85
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What's the Least Common Multiple (LCM) of 51 and 85?
Answer
LCM of 51 and 85 is
255
First common multiples: 255, 510, 765, …
255 is divisible by both: 255 ÷ 51 = 5, 255 ÷ 85 = 3 — and 5 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/51 by 5 and of y/85 by 3.
51 = 3 × 17
85 = 5 × 17
| Prime | 51 | 85 | Highest power |
|---|---|---|---|
| 3 | 3 | — | 3 |
| 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 = 3 × 5 × 17 = 255
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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 |
|---|---|---|
| 51 | 70 | 3,570 |
| 51 | 71 | 3,621 |
| 51 | 72 | 1,224 |
| 51 | 73 | 3,723 |
| 51 | 74 | 3,774 |
| 51 | 75 | 1,275 |
| 51 | 76 | 3,876 |
| 51 | 77 | 3,927 |
| 51 | 78 | 1,326 |
| 51 | 79 | 4,029 |
| 51 | 80 | 4,080 |
| 51 | 81 | 1,377 |
| 51 | 82 | 4,182 |
| 51 | 83 | 4,233 |
| 51 | 84 | 1,428 |
| 51 | 85 | 255 |
| 51 | 86 | 4,386 |
| 51 | 87 | 1,479 |
| 51 | 88 | 4,488 |
| 51 | 89 | 4,539 |
| 51 | 90 | 1,530 |
| 51 | 91 | 4,641 |
| 51 | 92 | 4,692 |
| 51 | 93 | 1,581 |
| 51 | 94 | 4,794 |
| 51 | 95 | 4,845 |
| 51 | 96 | 1,632 |
| 51 | 97 | 4,947 |
| 51 | 98 | 4,998 |
| 51 | 99 | 1,683 |