LCM of 36 and 56 is 504. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. The LCM can be found easily by using various methods like prime factorisation, division and by listing the multiples. The smallest number among all common multiples of 36 and 56 is the LCM of 36 and 56. (36, 72, 108, 144, etc.) and (56, 112, 168, 224, 280, etc.) are the first few multiples of 36 and 56, respectively.
Also read: Least common multiple
What is LCM of 36 and 56?
The answer to this question is 504. The LCM of 36 and 56 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 36 and 56, is the smallest positive integer 504 which is divisible by both 36 and 56 with no remainder.
How to Find LCM of 36 and 56?
LCM of 36 and 56 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 36 and 56 Using Prime Factorisation Method
The prime factorisation of 36 and 56, respectively, is given by:
36 = (2 × 2 × 3 × 3) = 22 × 32 and
56 = (2 × 2 × 2 × 7) = 23 × 71
LCM (36, 56) = 504
LCM of 36 and 56 Using Division Method
We’ll divide the numbers (36, 56) by their prime factors to get the LCM of 36 and 56 using the division method (preferably common). The LCM of 36 and 56 is calculated by multiplying these divisors.
| 2 | 36 | 56 |
| 2 | 18 | 28 |
| 2 | 9 | 14 |
| 3 | 3 | 7 |
| 7 | 1 | 7 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (36, 56) = 504
LCM of 36 and 56 Using Listing the Multiples
To calculate the LCM of 36 and 56 by listing out the common multiples, list the multiples as shown below
| Multiples of 36 | Multiples of 56 |
| 36 | 56 |
| 72 | 112 |
| 108 | 168 |
| ….. | ….. |
| 504 | 504 |
The smallest common multiple of 36 and 56 is 504.
Therefore LCM (36, 56) = 504
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LCM of 36 and 56 Solved Example
Question: The product of two numbers is 2016. If their GCD is 4, what is their LCM?
Solution:
Given: GCD = 4
product of numbers = 2016
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 2016/4
Therefore, the LCM is 504.
The probable combination for the given case is LCM(36, 56) = 504.
Frequently Asked Questions on LCM of 36 and 56
What is the LCM of 36 and 56?
List the methods used to find the LCM of 36 and 56.
Which of the following is the LCM of 36 and 56? 16, 45, 504, 20
What is the Relation Between GCF and LCM of 36, 56?
If the LCM of 56 and 36 is 504, Find its GCF.
Since the LCM of 56 and 36 = 504
⇒ 504 × GCF(56, 36) = 2016
Therefore, the GCF = 2016/504 = 4.
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