LCM of 28 and 56 is 56. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. Among all frequent multiples of 28 and 56, the LCM of 28 and 56 is the smallest. (28, 56, 84, 112,…) and (56, 112, 168, 224,…) are the first few multiples of 28 and 56, respectively. The division method, listing multiples, and prime factorization are the three most prevalent methods for calculating the LCM of 28 and 56.
Also read: Least common multiple
What is LCM of 28 and 56?
The answer to this question is 56. The LCM of 28 and 56 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 28 and 56, is the smallest positive integer 56 which is divisible by both 28 and 56 with no remainder.
How to Find LCM of 28 and 56?
LCM of 28 and 56 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 28 and 56 Using Prime Factorisation Method
The prime factorisation of 28 and 56, respectively, is given by:
28 = (2 × 2 × 7) = 22 × 71 and
56 = (2 × 2 × 2 × 7) = 23 × 71
LCM (28, 56) = 56
LCM of 28 and 56 Using Division Method
We’ll divide the numbers (28, 56) by their prime factors to get the LCM of 28 and 56 using the division method (preferably common). The LCM of 28 and 56 is calculated by multiplying these divisors.
| 2 | 28 | 56 |
| 2 | 14 | 28 |
| 2 | 7 | 14 |
| 7 | 7 | 7 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (28, 56) = 56
LCM of 28 and 56 Using Listing the Multiples
To calculate the LCM of 28 and 56 by listing out the common multiples, list the multiples as shown below
| Multiples of 28 | Multiples of 56 |
| 28 | 56 |
| 56 | 112 |
| 84 | 168 |
| 112 | 224 |
| 140 | 280 |
The smallest common multiple of 28 and 56 is 56.
Therefore LCM (28, 56) = 56
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LCM of 28 and 56 Solved Example
Question: The product of two numbers is 1568. If their GCD is 28, what is their LCM?
Solution:
Given: GCD = 28
product of numbers = 1568
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 1568/28
Therefore, the LCM is 56.
The probable combination for the given case is LCM(28, 56) = 56.
Frequently Asked Questions on LCM of 28 and 56
What is the LCM of 28 and 56?
List the methods used to find the LCM of 28 and 56.
How to Find the LCM of 28 and 56 by Prime Factorization?
⇒ LCM of 28, 56 = 23 × 7 = 56.
What is the Relation Between GCF and LCM of 28, 56?
If the LCM of 56 and 28 is 56, Find its GCF.
Since the LCM of 56 and 28 = 56
⇒ 56 × GCF(56, 28) = 1568
Therefore, the greatest common factor (GCF) = 1568/56 = 28.
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