LCM of 5 and 11 is 55. The LCM value is the number which is divisible evenly by the given numbers 5 and 11. From the common multiples of 5 and 11, the least common multiple of 5 and 11 can be determined. The multiples of 5 are (5, 10, 15, 20, 25, ….) and the multiples of 11 are (11, 22, 33, 44, 55, ….) respectively. Prime factorisation, division and listing of the multiples are the common methods to get the LCM value.
Also read: Least common multiple
What is LCM of 5 and 11?
The answer to this question is 55. The LCM of 5 and 11 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 5 and 11, is the smallest positive integer 55 which is divisible by both 5 and 11 with no remainder.
How to Find LCM of 5 and 11?
LCM of 5 and 11 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 5 and 11 Using Prime Factorisation Method
The prime factorisation of 5 and 11, respectively, is given by:
5 = 5¹
11 = 11¹
LCM (5, 11) = 55
LCM of 5 and 11 Using Division Method
We’ll divide the numbers (5, 11) by their prime factors to get the LCM of 5 and 11 using the division method (preferably common). The LCM of 5 and 11 is calculated by multiplying these divisors.
| 5 | 5 | 11 |
| 11 | 1 | 11 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (5, 11) = 55
LCM of 5 and 11 Using Listing the Multiples
To calculate the LCM of 5 and 11 by listing out the common multiples, list the multiples as shown below
| Multiples of 5 | Multiples of 11 |
| 5 | 11 |
| 10 | 22 |
| 15 | 33 |
| 20 | 44 |
| 25 | 55 |
| 30 | 66 |
| 35 | 77 |
| 40 | 88 |
| 45 | 99 |
| 50 | 110 |
| 55 | – |
| 60 | – |
LCM (5, 11) = 55
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Video Lesson on Applications of LCM
LCM of 5 and 11 Solved Example
If the product of two numbers is 55, what is the LCM if the GCD is 1?
Solution:
It is given that;
GCD = 1
Product of two numbers = 55
We know that,
LCM x GCD = product of two numbers
LCM = product of two numbers/ GCD
LCM = 55/1
LCM = 55
Hence, the LCM is 55.
Frequently Asked Questions on LCM of 5 and 11
What is the LCM of 5 and 11?
We know that,
Multiples of 5 = 5, 10, 15, 20, 25, ….
Multiples of 11 = 11, 22, 33, 44, 55, 66, ….
The smallest multiple exactly divisible by 5 and 11 is 55.
If the LCM of 5 and 11 is 55, determine the GCF.
LCM x GCF = 5 x 11
Given
LCM of 5 and 11 is 55
55 x GCF = 55
GCF = 55/55 = 1
What are the methods used to find the LCM of 5 and 11?
The methods used to find the LCM of 5 and 11 are
Division method
Prime Factorisation
Listing the multiples
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