LCM for 55 and 105
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What's the Least Common Multiple (LCM) of 55 and 105?
Answer
LCM of 55 and 105 is
1,155
First common multiples: 1,155; 2,310; 3,465; …
1,155 is divisible by both: 1,155 ÷ 55 = 21; 1,155 ÷ 105 = 11 — and 21 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/55 by 21 and of y/105 by 11.
55 = 5 × 11
105 = 3 × 5 × 7
| Prime | 55 | 105 | Highest power |
|---|---|---|---|
| 3 | — | 3 | 3 |
| 5 | 5 | 5 | 5 |
| 7 | — | 7 | 7 |
| 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 = 3 × 5 × 7 × 11 = 1,155
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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 |
|---|---|---|
| 55 | 90 | 990 |
| 55 | 91 | 5,005 |
| 55 | 92 | 5,060 |
| 55 | 93 | 5,115 |
| 55 | 94 | 5,170 |
| 55 | 95 | 1,045 |
| 55 | 96 | 5,280 |
| 55 | 97 | 5,335 |
| 55 | 98 | 5,390 |
| 55 | 99 | 495 |
| 55 | 100 | 1,100 |
| 55 | 101 | 5,555 |
| 55 | 102 | 5,610 |
| 55 | 103 | 5,665 |
| 55 | 104 | 5,720 |
| 55 | 105 | 1,155 |
| 55 | 106 | 5,830 |
| 55 | 107 | 5,885 |
| 55 | 108 | 5,940 |
| 55 | 109 | 5,995 |
| 55 | 110 | 110 |
| 55 | 111 | 6,105 |
| 55 | 112 | 6,160 |
| 55 | 113 | 6,215 |
| 55 | 114 | 6,270 |
| 55 | 115 | 1,265 |
| 55 | 116 | 6,380 |
| 55 | 117 | 6,435 |
| 55 | 118 | 6,490 |
| 55 | 119 | 6,545 |