LCM for 30 and 43
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What's the Least Common Multiple (LCM) of 30 and 43?
Answer
LCM of 30 and 43 is
1,290
First common multiples: 1,290; 2,580; 3,870; …
1,290 is divisible by both: 1,290 ÷ 30 = 43; 1,290 ÷ 43 = 30 — and 43 and 30 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/30 by 43 and of y/43 by 30.
30 and 43 are coprime (GCF = 1), so their LCM is simply the product: 30 × 43 = 1,290.
30 = 2 × 3 × 5
43 — prime
| Prime | 30 | 43 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | 3 | — | 3 |
| 5 | 5 | — | 5 |
| 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 × 3 × 5 × 43 = 1,290
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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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