LCM for 120 and 144
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What's the Least Common Multiple (LCM) of 120 and 144?
Answer
LCM of 120 and 144 is
720
First common multiples: 720; 1,440; 2,160; …
720 is divisible by both: 720 ÷ 120 = 6, 720 ÷ 144 = 5 — and 6 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/120 by 6 and of y/144 by 5.
120 = 23 × 3 × 5
144 = 24 × 32
| Prime | 120 | 144 | Highest power |
|---|---|---|---|
| 2 | 23 | 24 | 24 |
| 3 | 3 | 32 | 32 |
| 5 | 5 | — | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 32 × 5 = 720
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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 |
|---|---|---|
| 120 | 129 | 5,160 |
| 120 | 130 | 1,560 |
| 120 | 131 | 15,720 |
| 120 | 132 | 1,320 |
| 120 | 133 | 15,960 |
| 120 | 134 | 8,040 |
| 120 | 135 | 1,080 |
| 120 | 136 | 2,040 |
| 120 | 137 | 16,440 |
| 120 | 138 | 2,760 |
| 120 | 139 | 16,680 |
| 120 | 140 | 840 |
| 120 | 141 | 5,640 |
| 120 | 142 | 8,520 |
| 120 | 143 | 17,160 |
| 120 | 144 | 720 |
| 120 | 145 | 3,480 |
| 120 | 146 | 8,760 |
| 120 | 147 | 5,880 |
| 120 | 148 | 4,440 |
| 120 | 149 | 17,880 |
| 120 | 150 | 600 |
| 120 | 151 | 18,120 |
| 120 | 152 | 2,280 |
| 120 | 153 | 6,120 |
| 120 | 154 | 9,240 |
| 120 | 155 | 3,720 |
| 120 | 156 | 1,560 |
| 120 | 157 | 18,840 |
| 120 | 158 | 9,480 |