LCM for 68 and 102
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What's the Least Common Multiple (LCM) of 68 and 102?
Answer
LCM of 68 and 102 is
204
First common multiples: 204, 408, 612, …
204 is divisible by both: 204 ÷ 68 = 3, 204 ÷ 102 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/68 by 3 and of y/102 by 2.
68 = 22 × 17
102 = 2 × 3 × 17
| Prime | 68 | 102 | Highest power |
|---|---|---|---|
| 2 | 22 | 2 | 22 |
| 3 | — | 3 | 3 |
| 17 | 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 × 17 = 204
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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 | 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 |
| 68 | 99 | 6,732 |
| 68 | 100 | 1,700 |
| 68 | 101 | 6,868 |
| 68 | 102 | 204 |
| 68 | 103 | 7,004 |
| 68 | 104 | 1,768 |
| 68 | 105 | 7,140 |
| 68 | 106 | 3,604 |
| 68 | 107 | 7,276 |
| 68 | 108 | 1,836 |
| 68 | 109 | 7,412 |
| 68 | 110 | 3,740 |
| 68 | 111 | 7,548 |
| 68 | 112 | 1,904 |
| 68 | 113 | 7,684 |
| 68 | 114 | 3,876 |
| 68 | 115 | 7,820 |
| 68 | 116 | 1,972 |