LCM for 78 and 100
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What's the Least Common Multiple (LCM) of 78 and 100?
Answer
LCM of 78 and 100 is
3,900
First common multiples: 3,900; 7,800; 11,700; …
3,900 is divisible by both: 3,900 ÷ 78 = 50; 3,900 ÷ 100 = 39 — and 50 and 39 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/78 by 50 and of y/100 by 39.
78 = 2 × 3 × 13
100 = 22 × 52
| Prime | 78 | 100 | Highest power |
|---|---|---|---|
| 2 | 2 | 22 | 22 |
| 3 | 3 | — | 3 |
| 5 | — | 52 | 52 |
| 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 = 22 × 3 × 52 × 13 = 3,900
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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 |
|---|---|---|
| 78 | 85 | 6,630 |
| 78 | 86 | 3,354 |
| 78 | 87 | 2,262 |
| 78 | 88 | 3,432 |
| 78 | 89 | 6,942 |
| 78 | 90 | 1,170 |
| 78 | 91 | 546 |
| 78 | 92 | 3,588 |
| 78 | 93 | 2,418 |
| 78 | 94 | 3,666 |
| 78 | 95 | 7,410 |
| 78 | 96 | 1,248 |
| 78 | 97 | 7,566 |
| 78 | 98 | 3,822 |
| 78 | 99 | 2,574 |
| 78 | 100 | 3,900 |
| 78 | 101 | 7,878 |
| 78 | 102 | 1,326 |
| 78 | 103 | 8,034 |
| 78 | 104 | 312 |
| 78 | 105 | 2,730 |
| 78 | 106 | 4,134 |
| 78 | 107 | 8,346 |
| 78 | 108 | 1,404 |
| 78 | 109 | 8,502 |
| 78 | 110 | 4,290 |
| 78 | 111 | 2,886 |
| 78 | 112 | 4,368 |
| 78 | 113 | 8,814 |
| 78 | 114 | 1,482 |