LCM for 84 and 140
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What's the Least Common Multiple (LCM) of 84 and 140?
Answer
LCM of 84 and 140 is
420
First common multiples: 420; 840; 1,260; …
420 is divisible by both: 420 ÷ 84 = 5, 420 ÷ 140 = 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/84 by 5 and of y/140 by 3.
84 = 22 × 3 × 7
140 = 22 × 5 × 7
| Prime | 84 | 140 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 3 | 3 | — | 3 |
| 5 | — | 5 | 5 |
| 7 | 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 = 22 × 3 × 5 × 7 = 420
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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 | 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 |
| 84 | 135 | 3,780 |
| 84 | 136 | 2,856 |
| 84 | 137 | 11,508 |
| 84 | 138 | 1,932 |
| 84 | 139 | 11,676 |
| 84 | 140 | 420 |
| 84 | 141 | 3,948 |
| 84 | 142 | 5,964 |
| 84 | 143 | 12,012 |
| 84 | 144 | 1,008 |
| 84 | 145 | 12,180 |
| 84 | 146 | 6,132 |
| 84 | 147 | 588 |
| 84 | 148 | 3,108 |
| 84 | 149 | 12,516 |
| 84 | 150 | 2,100 |
| 84 | 151 | 12,684 |
| 84 | 152 | 3,192 |
| 84 | 153 | 4,284 |
| 84 | 154 | 924 |