LCM for 75 and 125
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What's the Least Common Multiple (LCM) of 75 and 125?
Answer
LCM of 75 and 125 is
375
First common multiples: 375; 750; 1,125; …
375 is divisible by both: 375 ÷ 75 = 5, 375 ÷ 125 = 3 — and 5 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/75 by 5 and of y/125 by 3.
75 = 3 × 52
125 = 53
| Prime | 75 | 125 | Highest power |
|---|---|---|---|
| 3 | 3 | — | 3 |
| 5 | 52 | 53 | 53 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 3 × 53 = 375
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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 | 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 |
| 75 | 120 | 600 |
| 75 | 121 | 9,075 |
| 75 | 122 | 9,150 |
| 75 | 123 | 3,075 |
| 75 | 124 | 9,300 |
| 75 | 125 | 375 |
| 75 | 126 | 3,150 |
| 75 | 127 | 9,525 |
| 75 | 128 | 9,600 |
| 75 | 129 | 3,225 |
| 75 | 130 | 1,950 |
| 75 | 131 | 9,825 |
| 75 | 132 | 3,300 |
| 75 | 133 | 9,975 |
| 75 | 134 | 10,050 |
| 75 | 135 | 675 |
| 75 | 136 | 10,200 |
| 75 | 137 | 10,275 |
| 75 | 138 | 3,450 |
| 75 | 139 | 10,425 |