LCM for 19 and 48
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What's the Least Common Multiple (LCM) of 19 and 48?
Answer
LCM of 19 and 48 is
912
First common multiples: 912; 1,824; 2,736; …
912 is divisible by both: 912 ÷ 19 = 48, 912 ÷ 48 = 19 — and 48 and 19 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/19 by 48 and of y/48 by 19.
19 and 48 are coprime (GCF = 1), so their LCM is simply the product: 19 × 48 = 912.
19 — prime
48 = 24 × 3
| Prime | 19 | 48 | Highest power |
|---|---|---|---|
| 2 | — | 24 | 24 |
| 3 | — | 3 | 3 |
| 19 | 19 | — | 19 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 3 × 19 = 912
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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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