LCM for 39 and 130
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What's the Least Common Multiple (LCM) of 39 and 130?
Answer
LCM of 39 and 130 is
390
First common multiples: 390; 780; 1,170; …
390 is divisible by both: 390 ÷ 39 = 10, 390 ÷ 130 = 3 — and 10 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/39 by 10 and of y/130 by 3.
39 = 3 × 13
130 = 2 × 5 × 13
| Prime | 39 | 130 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | 3 | — | 3 |
| 5 | — | 5 | 5 |
| 13 | 13 | 13 | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 5 × 13 = 390
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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 |
|---|---|---|
| 39 | 115 | 4,485 |
| 39 | 116 | 4,524 |
| 39 | 117 | 117 |
| 39 | 118 | 4,602 |
| 39 | 119 | 4,641 |
| 39 | 120 | 1,560 |
| 39 | 121 | 4,719 |
| 39 | 122 | 4,758 |
| 39 | 123 | 1,599 |
| 39 | 124 | 4,836 |
| 39 | 125 | 4,875 |
| 39 | 126 | 1,638 |
| 39 | 127 | 4,953 |
| 39 | 128 | 4,992 |
| 39 | 129 | 1,677 |
| 39 | 130 | 390 |
| 39 | 131 | 5,109 |
| 39 | 132 | 1,716 |
| 39 | 133 | 5,187 |
| 39 | 134 | 5,226 |
| 39 | 135 | 1,755 |
| 39 | 136 | 5,304 |
| 39 | 137 | 5,343 |
| 39 | 138 | 1,794 |
| 39 | 139 | 5,421 |
| 39 | 140 | 5,460 |
| 39 | 141 | 1,833 |
| 39 | 142 | 5,538 |
| 39 | 143 | 429 |
| 39 | 144 | 1,872 |