LCM for 46 and 49
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What's the Least Common Multiple (LCM) of 46 and 49?
Answer
LCM of 46 and 49 is
2,254
First common multiples: 2,254; 4,508; 6,762; …
2,254 is divisible by both: 2,254 ÷ 46 = 49; 2,254 ÷ 49 = 46 — and 49 and 46 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/46 by 49 and of y/49 by 46.
46 and 49 are coprime (GCF = 1), so their LCM is simply the product: 46 × 49 = 2,254.
46 = 2 × 23
49 = 72
| Prime | 46 | 49 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 7 | — | 72 | 72 |
| 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 = 2 × 72 × 23 = 2,254
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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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