LCM for 43 and 46
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What's the Least Common Multiple (LCM) of 43 and 46?
Answer
LCM of 43 and 46 is
1,978
First common multiples: 1,978; 3,956; 5,934; …
1,978 is divisible by both: 1,978 ÷ 43 = 46; 1,978 ÷ 46 = 43 — and 46 and 43 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/43 by 46 and of y/46 by 43.
43 and 46 are coprime (GCF = 1), so their LCM is simply the product: 43 × 46 = 1,978.
43 — prime
46 = 2 × 23
| Prime | 43 | 46 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 23 | — | 23 | 23 |
| 43 | 43 | — | 43 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 23 × 43 = 1,978
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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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