LCM for 82 and 122
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What's the Least Common Multiple (LCM) of 82 and 122?
Answer
LCM of 82 and 122 is
5,002
First common multiples: 5,002; 10,004; 15,006; …
5,002 is divisible by both: 5,002 ÷ 82 = 61; 5,002 ÷ 122 = 41 — and 61 and 41 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/82 by 61 and of y/122 by 41.
82 = 2 × 41
122 = 2 × 61
| Prime | 82 | 122 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 41 | 41 | — | 41 |
| 61 | — | 61 | 61 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 41 × 61 = 5,002
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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 |
|---|---|---|
| 82 | 107 | 8,774 |
| 82 | 108 | 4,428 |
| 82 | 109 | 8,938 |
| 82 | 110 | 4,510 |
| 82 | 111 | 9,102 |
| 82 | 112 | 4,592 |
| 82 | 113 | 9,266 |
| 82 | 114 | 4,674 |
| 82 | 115 | 9,430 |
| 82 | 116 | 4,756 |
| 82 | 117 | 9,594 |
| 82 | 118 | 4,838 |
| 82 | 119 | 9,758 |
| 82 | 120 | 4,920 |
| 82 | 121 | 9,922 |
| 82 | 122 | 5,002 |
| 82 | 123 | 246 |
| 82 | 124 | 5,084 |
| 82 | 125 | 10,250 |
| 82 | 126 | 5,166 |
| 82 | 127 | 10,414 |
| 82 | 128 | 5,248 |
| 82 | 129 | 10,578 |
| 82 | 130 | 5,330 |
| 82 | 131 | 10,742 |
| 82 | 132 | 5,412 |
| 82 | 133 | 10,906 |
| 82 | 134 | 5,494 |
| 82 | 135 | 11,070 |
| 82 | 136 | 5,576 |