LCM of 11 and 18 is 198. The common multiple evenly divisible by 11 and 18 is the LCM. The least common multiple of 11 and 18 is the common multiple we get using the multiplication operation. (11, 22, 33, 44, 55, 66, ….) and (18, 36, 54, 72, 90, 108, ….) are the first few multiples of 11 and 18. Division, prime factorisation and listing of multiples are the methods used to get the LCM value.
Also read: Least common multiple
What is LCM of 11 and 18?
The answer to this question is 198. The LCM of 11 and 18 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 11 and 18, is the smallest positive integer 198 which is divisible by both 11 and 18 with no remainder.
How to Find LCM of 11 and 18?
LCM of 11 and 18 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 11 and 18 Using Prime Factorisation Method
The prime factorisation of 11 and 18, respectively, is given by:
11 = 11¹
18 = 2 x 3 x 3 = 2¹ x 3²
LCM (11, 18) = 198
LCM of 11 and 18 Using Division Method
We’ll divide the numbers (11, 18) by their prime factors to get the LCM of 11 and 18 using the division method (preferably common). The LCM of 11 and 18 is calculated by multiplying these divisors.
|
2 |
11 |
18 |
|
3 |
11 |
9 |
|
3 |
11 |
3 |
|
11 |
11 |
1 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (11, 18) = 198
LCM of 11 and 18 Using Listing the Multiples
To calculate the LCM of 11 and 18 by listing out the common multiples, list the multiples as shown below
Multiples of 11 = 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, ……
Multiples of 18 = 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, ……
LCM (11, 18) = 198
Related Articles
Video Lesson on Applications of LCM
LCM of 11 and 18 Solved Examples
Question: What is the LCM if the product of two numbers is 198 and the GCD is 1?
Solution:
It is given that,
Product of two numbers = 198
GCD = 1
We know that
LCM x GCD = Product of two numbers
LCM = Product/GCD
LCM = 198/1
LCM = 198
Hence, the LCM is 198.
Frequently Asked Questions on LCM of 11 and 18
Find the LCM of 11 and 18.
Which methods can be used to find the LCM of 11 and 18?
Find the GCF if the LCM of 11 and 18 is 198.
LCM x GCF = 11 x 18
Given
LCM of 11 and 18 = 198
198 x GCF = 198
GCF = 198/198 = 1
Which value is the LCM of 11 and 18? 30, 12, 198, 50
Write the relation between the GCF and LCM of 11 and 18.
The relation between the GCF and LCM of 11 and 18 is
GCF x LCM = 11 x 18
GCF x LCM = 198
Comments