LCM for 75 and 120
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What's the Least Common Multiple (LCM) of 75 and 120?
Answer
LCM of 75 and 120 is
600
First common multiples: 600; 1,200; 1,800; …
600 is divisible by both: 600 ÷ 75 = 8, 600 ÷ 120 = 5 — and 8 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 8 and of y/120 by 5.
75 = 3 × 52
120 = 23 × 3 × 5
| Prime | 75 | 120 | Highest power |
|---|---|---|---|
| 2 | — | 23 | 23 |
| 3 | 3 | 3 | 3 |
| 5 | 52 | 5 | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 3 × 52 = 600
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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 | 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 |
| 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 |