LCM for 84 and 120
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What's the Least Common Multiple (LCM) of 84 and 120?
Answer
LCM of 84 and 120 is
840
First common multiples: 840; 1,680; 2,520; …
840 is divisible by both: 840 ÷ 84 = 10, 840 ÷ 120 = 7 — and 10 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/84 by 10 and of y/120 by 7.
84 = 22 × 3 × 7
120 = 23 × 3 × 5
| Prime | 84 | 120 | Highest power |
|---|---|---|---|
| 2 | 22 | 23 | 23 |
| 3 | 3 | 3 | 3 |
| 5 | — | 5 | 5 |
| 7 | 7 | — | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 3 × 5 × 7 = 840
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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 |
|---|---|---|
| 84 | 105 | 420 |
| 84 | 106 | 4,452 |
| 84 | 107 | 8,988 |
| 84 | 108 | 756 |
| 84 | 109 | 9,156 |
| 84 | 110 | 4,620 |
| 84 | 111 | 3,108 |
| 84 | 112 | 336 |
| 84 | 113 | 9,492 |
| 84 | 114 | 1,596 |
| 84 | 115 | 9,660 |
| 84 | 116 | 2,436 |
| 84 | 117 | 3,276 |
| 84 | 118 | 4,956 |
| 84 | 119 | 1,428 |
| 84 | 120 | 840 |
| 84 | 121 | 10,164 |
| 84 | 122 | 5,124 |
| 84 | 123 | 3,444 |
| 84 | 124 | 2,604 |
| 84 | 125 | 10,500 |
| 84 | 126 | 252 |
| 84 | 127 | 10,668 |
| 84 | 128 | 2,688 |
| 84 | 129 | 3,612 |
| 84 | 130 | 5,460 |
| 84 | 131 | 11,004 |
| 84 | 132 | 924 |
| 84 | 133 | 1,596 |
| 84 | 134 | 5,628 |