LCM for 19 and 45
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What's the Least Common Multiple (LCM) of 19 and 45?
Answer
LCM of 19 and 45 is
855
First common multiples: 855; 1,710; 2,565; …
855 is divisible by both: 855 ÷ 19 = 45, 855 ÷ 45 = 19 — and 45 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 45 and of y/45 by 19.
19 and 45 are coprime (GCF = 1), so their LCM is simply the product: 19 × 45 = 855.
19 — prime
45 = 32 × 5
| Prime | 19 | 45 | Highest power |
|---|---|---|---|
| 3 | — | 32 | 32 |
| 5 | — | 5 | 5 |
| 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 = 32 × 5 × 19 = 855
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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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