LCM for 38 and 46
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What's the Least Common Multiple (LCM) of 38 and 46?
Answer
LCM of 38 and 46 is
874
First common multiples: 874; 1,748; 2,622; …
874 is divisible by both: 874 ÷ 38 = 23, 874 ÷ 46 = 19 — and 23 and 19 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/38 by 23 and of y/46 by 19.
38 = 2 × 19
46 = 2 × 23
| Prime | 38 | 46 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 19 | 19 | — | 19 |
| 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 × 19 × 23 = 874
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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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