LCM for 28 and 56

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 28 and 56?

Answer

LCM of 28 and 56 is 56

(Fifty-six)

Finding LCM for 28 and 56 using GCF of these numbers

The first method to find LCM for numbers 28 and 56 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 28 and 56 is 28, so

LCM = (28 × 56) ÷ 28

LCM = 1568 ÷ 28

LCM = 56

Finding LCM for 28 and 56 by Listing Multiples

The second method to find LCM for numbers 28 and 56 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 28: 28, 56, 84, 112

Multiples of 56: 56, 112, 168

So the LCM for 28 and 56 is 56

Finding LCM for 28 and 56 by Prime Factorization

Another method to find LCM for numbers 28 and 56 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 28: 2, 2, 7 (exponent form: 22, 71)

All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)

23 × 71 = 56

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 28 and 56? (The answer is: 56). Select the first number (e.g. '28') and the second number (e.g. '56'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1 Number 2 LCM
13 56 728
14 56 56
15 56 840
16 56 112
17 56 952
18 56 504
19 56 1064
20 56 280
21 56 168
22 56 616
23 56 1288
24 56 168
25 56 1400
26 56 728
27 56 1512
28 56 56
29 56 1624
30 56 840
31 56 1736
32 56 224
33 56 1848
34 56 952
35 56 280
36 56 504
37 56 2072
38 56 1064
39 56 2184
40 56 280
41 56 2296
42 56 168

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.

See Also