LCM for 95 and 105
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What's the Least Common Multiple (LCM) of 95 and 105?
Answer
LCM of 95 and 105 is
1,995
First common multiples: 1,995; 3,990; 5,985; …
1,995 is divisible by both: 1,995 ÷ 95 = 21; 1,995 ÷ 105 = 19 — and 21 and 19 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/95 by 21 and of y/105 by 19.
95 = 5 × 19
105 = 3 × 5 × 7
| Prime | 95 | 105 | Highest power |
|---|---|---|---|
| 3 | — | 3 | 3 |
| 5 | 5 | 5 | 5 |
| 7 | — | 7 | 7 |
| 19 | 19 | — | 19 |
— = 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 × 19 = 1,995
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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 |
|---|---|---|
| 95 | 90 | 1,710 |
| 95 | 91 | 8,645 |
| 95 | 92 | 8,740 |
| 95 | 93 | 8,835 |
| 95 | 94 | 8,930 |
| 95 | 95 | 95 |
| 95 | 96 | 9,120 |
| 95 | 97 | 9,215 |
| 95 | 98 | 9,310 |
| 95 | 99 | 9,405 |
| 95 | 100 | 1,900 |
| 95 | 101 | 9,595 |
| 95 | 102 | 9,690 |
| 95 | 103 | 9,785 |
| 95 | 104 | 9,880 |
| 95 | 105 | 1,995 |
| 95 | 106 | 10,070 |
| 95 | 107 | 10,165 |
| 95 | 108 | 10,260 |
| 95 | 109 | 10,355 |
| 95 | 110 | 2,090 |
| 95 | 111 | 10,545 |
| 95 | 112 | 10,640 |
| 95 | 113 | 10,735 |
| 95 | 114 | 570 |
| 95 | 115 | 2,185 |
| 95 | 116 | 11,020 |
| 95 | 117 | 11,115 |
| 95 | 118 | 11,210 |
| 95 | 119 | 11,305 |