LCM for 65 and 75
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What's the Least Common Multiple (LCM) of 65 and 75?
Answer
LCM of 65 and 75 is
975
First common multiples: 975; 1,950; 2,925; …
975 is divisible by both: 975 ÷ 65 = 15, 975 ÷ 75 = 13 — and 15 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 15 and of y/75 by 13.
65 = 5 × 13
75 = 3 × 52
| Prime | 65 | 75 | Highest power |
|---|---|---|---|
| 3 | — | 3 | 3 |
| 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 = 3 × 52 × 13 = 975
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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 | 60 | 780 |
| 65 | 61 | 3,965 |
| 65 | 62 | 4,030 |
| 65 | 63 | 4,095 |
| 65 | 64 | 4,160 |
| 65 | 65 | 65 |
| 65 | 66 | 4,290 |
| 65 | 67 | 4,355 |
| 65 | 68 | 4,420 |
| 65 | 69 | 4,485 |
| 65 | 70 | 910 |
| 65 | 71 | 4,615 |
| 65 | 72 | 4,680 |
| 65 | 73 | 4,745 |
| 65 | 74 | 4,810 |
| 65 | 75 | 975 |
| 65 | 76 | 4,940 |
| 65 | 77 | 5,005 |
| 65 | 78 | 390 |
| 65 | 79 | 5,135 |
| 65 | 80 | 1,040 |
| 65 | 81 | 5,265 |
| 65 | 82 | 5,330 |
| 65 | 83 | 5,395 |
| 65 | 84 | 5,460 |
| 65 | 85 | 1,105 |
| 65 | 86 | 5,590 |
| 65 | 87 | 5,655 |
| 65 | 88 | 5,720 |
| 65 | 89 | 5,785 |