LCM for 75 and 105
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What's the Least Common Multiple (LCM) of 75 and 105?
Answer
LCM of 75 and 105 is
525
First common multiples: 525; 1,050; 1,575; …
525 is divisible by both: 525 ÷ 75 = 7, 525 ÷ 105 = 5 — and 7 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/75 by 7 and of y/105 by 5.
75 = 3 × 52
105 = 3 × 5 × 7
| Prime | 75 | 105 | Highest power |
|---|---|---|---|
| 3 | 3 | 3 | 3 |
| 5 | 52 | 5 | 52 |
| 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 = 3 × 52 × 7 = 525
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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 |
|---|---|---|
| 75 | 90 | 450 |
| 75 | 91 | 6,825 |
| 75 | 92 | 6,900 |
| 75 | 93 | 2,325 |
| 75 | 94 | 7,050 |
| 75 | 95 | 1,425 |
| 75 | 96 | 2,400 |
| 75 | 97 | 7,275 |
| 75 | 98 | 7,350 |
| 75 | 99 | 2,475 |
| 75 | 100 | 300 |
| 75 | 101 | 7,575 |
| 75 | 102 | 2,550 |
| 75 | 103 | 7,725 |
| 75 | 104 | 7,800 |
| 75 | 105 | 525 |
| 75 | 106 | 7,950 |
| 75 | 107 | 8,025 |
| 75 | 108 | 2,700 |
| 75 | 109 | 8,175 |
| 75 | 110 | 1,650 |
| 75 | 111 | 2,775 |
| 75 | 112 | 8,400 |
| 75 | 113 | 8,475 |
| 75 | 114 | 2,850 |
| 75 | 115 | 1,725 |
| 75 | 116 | 8,700 |
| 75 | 117 | 2,925 |
| 75 | 118 | 8,850 |
| 75 | 119 | 8,925 |