LCM for 72 and 120
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What's the Least Common Multiple (LCM) of 72 and 120?
Answer
LCM of 72 and 120 is
360
First common multiples: 360; 720; 1,080; …
360 is divisible by both: 360 ÷ 72 = 5, 360 ÷ 120 = 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/72 by 5 and of y/120 by 3.
72 = 23 × 32
120 = 23 × 3 × 5
| Prime | 72 | 120 | Highest power |
|---|---|---|---|
| 2 | 23 | 23 | 23 |
| 3 | 32 | 3 | 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 = 23 × 32 × 5 = 360
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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 |
|---|---|---|
| 72 | 105 | 2,520 |
| 72 | 106 | 3,816 |
| 72 | 107 | 7,704 |
| 72 | 108 | 216 |
| 72 | 109 | 7,848 |
| 72 | 110 | 3,960 |
| 72 | 111 | 2,664 |
| 72 | 112 | 1,008 |
| 72 | 113 | 8,136 |
| 72 | 114 | 1,368 |
| 72 | 115 | 8,280 |
| 72 | 116 | 2,088 |
| 72 | 117 | 936 |
| 72 | 118 | 4,248 |
| 72 | 119 | 8,568 |
| 72 | 120 | 360 |
| 72 | 121 | 8,712 |
| 72 | 122 | 4,392 |
| 72 | 123 | 2,952 |
| 72 | 124 | 2,232 |
| 72 | 125 | 9,000 |
| 72 | 126 | 504 |
| 72 | 127 | 9,144 |
| 72 | 128 | 1,152 |
| 72 | 129 | 3,096 |
| 72 | 130 | 4,680 |
| 72 | 131 | 9,432 |
| 72 | 132 | 792 |
| 72 | 133 | 9,576 |
| 72 | 134 | 4,824 |