LCM for 85 and 120
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What's the Least Common Multiple (LCM) of 85 and 120?
Answer
LCM of 85 and 120 is
2,040
First common multiples: 2,040; 4,080; 6,120; …
2,040 is divisible by both: 2,040 ÷ 85 = 24; 2,040 ÷ 120 = 17 — and 24 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 24 and of y/120 by 17.
85 = 5 × 17
120 = 23 × 3 × 5
| Prime | 85 | 120 | Highest power |
|---|---|---|---|
| 2 | — | 23 | 23 |
| 3 | — | 3 | 3 |
| 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 = 23 × 3 × 5 × 17 = 2,040
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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 |
|---|---|---|
| 85 | 105 | 1,785 |
| 85 | 106 | 9,010 |
| 85 | 107 | 9,095 |
| 85 | 108 | 9,180 |
| 85 | 109 | 9,265 |
| 85 | 110 | 1,870 |
| 85 | 111 | 9,435 |
| 85 | 112 | 9,520 |
| 85 | 113 | 9,605 |
| 85 | 114 | 9,690 |
| 85 | 115 | 1,955 |
| 85 | 116 | 9,860 |
| 85 | 117 | 9,945 |
| 85 | 118 | 10,030 |
| 85 | 119 | 595 |
| 85 | 120 | 2,040 |
| 85 | 121 | 10,285 |
| 85 | 122 | 10,370 |
| 85 | 123 | 10,455 |
| 85 | 124 | 10,540 |
| 85 | 125 | 2,125 |
| 85 | 126 | 10,710 |
| 85 | 127 | 10,795 |
| 85 | 128 | 10,880 |
| 85 | 129 | 10,965 |
| 85 | 130 | 2,210 |
| 85 | 131 | 11,135 |
| 85 | 132 | 11,220 |
| 85 | 133 | 11,305 |
| 85 | 134 | 11,390 |