LCM of 11 and 12 is 132. From the multiples of 11 and 12, the number evenly divisible by the two numbers is the LCM value. Least common multiple of 11 and 12 is the common multiple we get using the multiplication operation. (11, 22, 33, 44, 55, ….) and (12, 24, 36, 48, 60, ….) are the multiples of 11 and 12. The LCM of two numbers is found by using methods such as listing multiples, prime factorization and division.
Also read: Least common multiple
What is LCM of 11 and 12?
The answer to this question is 132. The LCM of 11 and 12 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 11 and 12, is the smallest positive integer 132 which is divisible by both 11 and 12 with no remainder.
How to Find LCM of 11 and 12?
LCM of 11 and 12 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 11 and 12 Using Prime Factorisation Method
The prime factorisation of 11 and 12, respectively, is given by:
11 = 11¹
12 = 2 x 2 x 3 = 2² x 3¹
LCM (11, 12) = 132
LCM of 11 and 12 Using Division Method
We’ll divide the numbers (11, 12) by their prime factors to get the LCM of 11 and 12 using the division method (preferably common). The LCM of 11 and 12 is calculated by multiplying these divisors.
| 2 | 11 | 12 |
| 2 | 11 | 6 |
| 3 | 11 | 3 |
| 11 | 11 | 1 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (11, 12) = 132
LCM of 11 and 12 Using Listing the Multiples
To calculate the LCM of 11 and 12 by listing out the common multiples, list the multiples as shown below
| Multiples of 11 | Multiples of 12 |
| 11 | 12 |
| 22 | 24 |
| 33 | 36 |
| 44 | 48 |
| 55 | 60 |
| 66 | 72 |
| 77 | 84 |
| 88 | 96 |
| 99 | 108 |
| 110 | 120 |
| 121 | 132 |
| 132 | – |
LCM (11, 12) = 132
Related Articles
Video Lesson on Applications of LCM
LCM of 11 and 12 Solved Example
Find the smallest number which is exactly divisible by 11 and 12.
Solution:
We know that;
LCM is the smallest number exactly divisible by 11 and 12.
Multiples of 11 = 11, 22, 33, 44, 55, 66, ….
Multiples of 12 = 12, 24, 36, 48, 60, 72, …..
Hence, the LCM of 11 and 12 is 132.
Frequently Asked Questions on LCM of 11 and 12
List the methods used to determine the LCM of 11 and 12.
The methods used to determine the LCM of 11 and 12 are
Prime Factorisation
Division method
Listing the multiples
Using the prime factorisation method, what is the LCM of 11 and 12?
We should analyze the factors first to determine the LCM
11 = 11¹
12 = 2 x 2 x 3 = 2² x 3¹
LCM is the product of prime factors raised to the highest exponent among 11 and 12.
LCM of 11 and 12 = 132
Calculate the GCF if the LCM of 11 and 12 is 132.
LCM x GCF = 11 x 12
As the LCM = 132
132 x GCF = 132
GCF = 132/132 = 1
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