LCM for 28 and 56
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What's the Least Common Multiple (LCM) of 28 and 56?
Answer
LCM of 28 and 56 is
56
First common multiples: 56, 112, 168, …
As a common denominator: multiply the top and bottom of x/28 by 2.
28 divides 56 (56 ÷ 28 = 2), so the LCM is the larger number itself.
28 = 22 × 7
56 = 23 × 7
| Prime | 28 | 56 | Highest power |
|---|---|---|---|
| 2 | 22 | 23 | 23 |
| 7 | 7 | 7 | 7 |
LCM = 23 × 7 = 56
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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
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 28 and 56?
LCM of 28 and 56 is 56
How to find the LCM of 28 and 56 using prime factorization?
To find the LCM of 28 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 56.
What is the difference between LCM and GCF?
LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 28 and 56: LCM = 56, GCF = 28.
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