LCM for 52 and 65
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What's the Least Common Multiple (LCM) of 52 and 65?
Answer
LCM of 52 and 65 is
260
First common multiples: 260, 520, 780, …
260 is divisible by both: 260 ÷ 52 = 5, 260 ÷ 65 = 4 — and 5 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/52 by 5 and of y/65 by 4.
52 = 22 × 13
65 = 5 × 13
| Prime | 52 | 65 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 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 = 22 × 5 × 13 = 260
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- 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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