LCM for 11 and 56
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What's the Least Common Multiple (LCM) of 11 and 56?
Answer
LCM of 11 and 56 is
616
First common multiples: 616; 1,232; 1,848; …
616 is divisible by both: 616 ÷ 11 = 56, 616 ÷ 56 = 11 — and 56 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/11 by 56 and of y/56 by 11.
11 and 56 are coprime (GCF = 1), so their LCM is simply the product: 11 × 56 = 616.
11 — prime
56 = 23 × 7
| Prime | 11 | 56 | Highest power |
|---|---|---|---|
| 2 | — | 23 | 23 |
| 7 | — | 7 | 7 |
| 11 | 11 | — | 11 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 7 × 11 = 616
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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 11 and 56?
LCM of 11 and 56 is 616
How to find the LCM of 11 and 56 using prime factorization?
To find the LCM of 11 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 616.
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 11 and 56: LCM = 616, GCF = 1.
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