LCM for 36 and 58
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What's the Least Common Multiple (LCM) of 36 and 58?
Answer
LCM of 36 and 58 is
1,044
First common multiples: 1,044; 2,088; 3,132; …
1,044 is divisible by both: 1,044 ÷ 36 = 29; 1,044 ÷ 58 = 18 — and 29 and 18 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/36 by 29 and of y/58 by 18.
36 = 22 × 32
58 = 2 × 29
| Prime | 36 | 58 | Highest power |
|---|---|---|---|
| 2 | 22 | 2 | 22 |
| 3 | 32 | — | 32 |
| 29 | — | 29 | 29 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 × 29 = 1,044
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- 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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