LCM for 23 and 51
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What's the Least Common Multiple (LCM) of 23 and 51?
Answer
LCM of 23 and 51 is
1,173
First common multiples: 1,173; 2,346; 3,519; …
1,173 is divisible by both: 1,173 ÷ 23 = 51; 1,173 ÷ 51 = 23 — and 51 and 23 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/23 by 51 and of y/51 by 23.
23 and 51 are coprime (GCF = 1), so their LCM is simply the product: 23 × 51 = 1,173.
23 — prime
51 = 3 × 17
| Prime | 23 | 51 | Highest power |
|---|---|---|---|
| 3 | — | 3 | 3 |
| 17 | — | 17 | 17 |
| 23 | 23 | — | 23 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 3 × 17 × 23 = 1,173
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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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