LCM for 75 and 135
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What's the Least Common Multiple (LCM) of 75 and 135?
Answer
LCM of 75 and 135 is
675
First common multiples: 675; 1,350; 2,025; …
675 is divisible by both: 675 ÷ 75 = 9, 675 ÷ 135 = 5 — and 9 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 9 and of y/135 by 5.
75 = 3 × 52
135 = 33 × 5
| Prime | 75 | 135 | Highest power |
|---|---|---|---|
| 3 | 3 | 33 | 33 |
| 5 | 52 | 5 | 52 |
LCM = 33 × 52 = 675
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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 | 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 |
| 75 | 140 | 2,100 |
| 75 | 141 | 3,525 |
| 75 | 142 | 10,650 |
| 75 | 143 | 10,725 |
| 75 | 144 | 3,600 |
| 75 | 145 | 2,175 |
| 75 | 146 | 10,950 |
| 75 | 147 | 3,675 |
| 75 | 148 | 11,100 |
| 75 | 149 | 11,175 |