LCM for 46 and 48
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What's the Least Common Multiple (LCM) of 46 and 48?
Answer
LCM of 46 and 48 is
1,104
First common multiples: 1,104; 2,208; 3,312; …
1,104 is divisible by both: 1,104 ÷ 46 = 24; 1,104 ÷ 48 = 23 — and 24 and 23 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/46 by 24 and of y/48 by 23.
46 = 2 × 23
48 = 24 × 3
| Prime | 46 | 48 | Highest power |
|---|---|---|---|
| 2 | 2 | 24 | 24 |
| 3 | — | 3 | 3 |
| 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 = 24 × 3 × 23 = 1,104
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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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