LCM for 68 and 84
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What's the Least Common Multiple (LCM) of 68 and 84?
Answer
LCM of 68 and 84 is
1,428
First common multiples: 1,428; 2,856; 4,284; …
1,428 is divisible by both: 1,428 ÷ 68 = 21; 1,428 ÷ 84 = 17 — and 21 and 17 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/68 by 21 and of y/84 by 17.
68 = 22 × 17
84 = 22 × 3 × 7
| Prime | 68 | 84 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 3 | — | 3 | 3 |
| 7 | — | 7 | 7 |
| 17 | 17 | — | 17 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 × 7 × 17 = 1,428
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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 |
|---|---|---|
| 68 | 69 | 4,692 |
| 68 | 70 | 2,380 |
| 68 | 71 | 4,828 |
| 68 | 72 | 1,224 |
| 68 | 73 | 4,964 |
| 68 | 74 | 2,516 |
| 68 | 75 | 5,100 |
| 68 | 76 | 1,292 |
| 68 | 77 | 5,236 |
| 68 | 78 | 2,652 |
| 68 | 79 | 5,372 |
| 68 | 80 | 1,360 |
| 68 | 81 | 5,508 |
| 68 | 82 | 2,788 |
| 68 | 83 | 5,644 |
| 68 | 84 | 1,428 |
| 68 | 85 | 340 |
| 68 | 86 | 2,924 |
| 68 | 87 | 5,916 |
| 68 | 88 | 1,496 |
| 68 | 89 | 6,052 |
| 68 | 90 | 3,060 |
| 68 | 91 | 6,188 |
| 68 | 92 | 1,564 |
| 68 | 93 | 6,324 |
| 68 | 94 | 3,196 |
| 68 | 95 | 6,460 |
| 68 | 96 | 1,632 |
| 68 | 97 | 6,596 |
| 68 | 98 | 3,332 |