LCM for 65 and 100
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What's the Least Common Multiple (LCM) of 65 and 100?
Answer
LCM of 65 and 100 is
1,300
First common multiples: 1,300; 2,600; 3,900; …
1,300 is divisible by both: 1,300 ÷ 65 = 20; 1,300 ÷ 100 = 13 — and 20 and 13 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/65 by 20 and of y/100 by 13.
65 = 5 × 13
100 = 22 × 52
| Prime | 65 | 100 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 5 | 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 × 52 × 13 = 1,300
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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 |
|---|---|---|
| 65 | 85 | 1,105 |
| 65 | 86 | 5,590 |
| 65 | 87 | 5,655 |
| 65 | 88 | 5,720 |
| 65 | 89 | 5,785 |
| 65 | 90 | 1,170 |
| 65 | 91 | 455 |
| 65 | 92 | 5,980 |
| 65 | 93 | 6,045 |
| 65 | 94 | 6,110 |
| 65 | 95 | 1,235 |
| 65 | 96 | 6,240 |
| 65 | 97 | 6,305 |
| 65 | 98 | 6,370 |
| 65 | 99 | 6,435 |
| 65 | 100 | 1,300 |
| 65 | 101 | 6,565 |
| 65 | 102 | 6,630 |
| 65 | 103 | 6,695 |
| 65 | 104 | 520 |
| 65 | 105 | 1,365 |
| 65 | 106 | 6,890 |
| 65 | 107 | 6,955 |
| 65 | 108 | 7,020 |
| 65 | 109 | 7,085 |
| 65 | 110 | 1,430 |
| 65 | 111 | 7,215 |
| 65 | 112 | 7,280 |
| 65 | 113 | 7,345 |
| 65 | 114 | 7,410 |