LCM for 108 and 132
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What's the Least Common Multiple (LCM) of 108 and 132?
Answer
LCM of 108 and 132 is
1,188
First common multiples: 1,188; 2,376; 3,564; …
1,188 is divisible by both: 1,188 ÷ 108 = 11; 1,188 ÷ 132 = 9 — and 11 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/108 by 11 and of y/132 by 9.
108 = 22 × 33
132 = 22 × 3 × 11
| Prime | 108 | 132 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 3 | 33 | 3 | 33 |
| 11 | — | 11 | 11 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 33 × 11 = 1,188
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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 |
|---|---|---|
| 108 | 117 | 1,404 |
| 108 | 118 | 6,372 |
| 108 | 119 | 12,852 |
| 108 | 120 | 1,080 |
| 108 | 121 | 13,068 |
| 108 | 122 | 6,588 |
| 108 | 123 | 4,428 |
| 108 | 124 | 3,348 |
| 108 | 125 | 13,500 |
| 108 | 126 | 756 |
| 108 | 127 | 13,716 |
| 108 | 128 | 3,456 |
| 108 | 129 | 4,644 |
| 108 | 130 | 7,020 |
| 108 | 131 | 14,148 |
| 108 | 132 | 1,188 |
| 108 | 133 | 14,364 |
| 108 | 134 | 7,236 |
| 108 | 135 | 540 |
| 108 | 136 | 3,672 |
| 108 | 137 | 14,796 |
| 108 | 138 | 2,484 |
| 108 | 139 | 15,012 |
| 108 | 140 | 3,780 |
| 108 | 141 | 5,076 |
| 108 | 142 | 7,668 |
| 108 | 143 | 15,444 |
| 108 | 144 | 432 |
| 108 | 145 | 15,660 |
| 108 | 146 | 7,884 |