LCM for 81 and 126
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What's the Least Common Multiple (LCM) of 81 and 126?
Answer
LCM of 81 and 126 is
1,134
First common multiples: 1,134; 2,268; 3,402; …
1,134 is divisible by both: 1,134 ÷ 81 = 14; 1,134 ÷ 126 = 9 — and 14 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/81 by 14 and of y/126 by 9.
81 = 34
126 = 2 × 32 × 7
| Prime | 81 | 126 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | 34 | 32 | 34 |
| 7 | — | 7 | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 34 × 7 = 1,134
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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 |
|---|---|---|
| 81 | 111 | 2,997 |
| 81 | 112 | 9,072 |
| 81 | 113 | 9,153 |
| 81 | 114 | 3,078 |
| 81 | 115 | 9,315 |
| 81 | 116 | 9,396 |
| 81 | 117 | 1,053 |
| 81 | 118 | 9,558 |
| 81 | 119 | 9,639 |
| 81 | 120 | 3,240 |
| 81 | 121 | 9,801 |
| 81 | 122 | 9,882 |
| 81 | 123 | 3,321 |
| 81 | 124 | 10,044 |
| 81 | 125 | 10,125 |
| 81 | 126 | 1,134 |
| 81 | 127 | 10,287 |
| 81 | 128 | 10,368 |
| 81 | 129 | 3,483 |
| 81 | 130 | 10,530 |
| 81 | 131 | 10,611 |
| 81 | 132 | 3,564 |
| 81 | 133 | 10,773 |
| 81 | 134 | 10,854 |
| 81 | 135 | 405 |
| 81 | 136 | 11,016 |
| 81 | 137 | 11,097 |
| 81 | 138 | 3,726 |
| 81 | 139 | 11,259 |
| 81 | 140 | 11,340 |