LCM of 11 and 22 is 22. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. The smallest number among all common multiples of 11 and 22 is the LCM of 11 and 22. (11, 22, 33, 44, 55, 66, 77, etc.) and (22, 44, 66, 88, 110, etc.) are the first few multiples of 11 and 22. To find the LCM of 11 and 22, there are three common methods: division, listing multiples, and prime factorization.
Also read: Least common multiple
What is LCM of 11 and 22?
The answer to this question is 22. The LCM of 11 and 22 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 11 and 22, is the smallest positive integer 22 which is divisible by both 11 and 22 with no remainder.
How to Find LCM of 11 and 22?
LCM of 11 and 22 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 11 and 22 Using Prime Factorisation Method
The prime factorisation of 11 and 22, respectively, is given by:
11 = (11) = 111 and
22 = (2 × 11) = 21 × 111
LCM (24, 36) = 72
LCM of 11 and 22 Using Division Method
We’ll divide the numbers (11, 22) by their prime factors to get the LCM of 11 and 22 using the division method (preferably common). The LCM of 11 and 22 is calculated by multiplying these divisors.
| 2 | 11 | 22 |
| 11 | 11 | 11 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (11, 22) = 22
LCM of 11 and 22 Using Listing the Multiples
To calculate the LCM of 11 and 22 by listing out the common multiples, list the multiples as shown below
| Multiples of 11 | Multiples of 22 |
| 11 | 22 |
| 22 | 44 |
| 33 | 66 |
| 44 | 88 |
| 55 | 110 |
The smallest common multiple of 11 and 22 is 22.
Therefore LCM (11, 22) = 22
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LCM of 11 and 22 Solved Example
Question: The GCD and LCM of two numbers are 11 and 22 respectively. If one number is 11, find the other number.
Solution:
Let the other number be m.
∵ GCD × LCM = 11 × m
⇒ m = (GCD × LCM)/11
⇒ m = (11 × 22)/11
⇒ m = 22
Therefore, the other number is 22.
Frequently Asked Questions on LCM of 11 and 22
What is the LCM of 11 and 22?
List the methods used to find the LCM of 11 and 22.
What is the Relation Between GCF and LCM of 11, 22?
What is the Least Perfect Square Divisible by 11 and 22?
LCM of 11 and 22 = 2 × 11 [Incomplete pair(s): 2, 11] ⇒ Least perfect square divisible by each 11 and 22 = LCM(11, 22) × 2 × 11 = 484 [Square root of 484 = √484 = ±22] Therefore, 484 is the required number.
If the LCM of 22 and 11 is 22, Find its GCF.
Since the LCM of 22 and 11 = 22
⇒ 22 × GCF(22, 11) = 242
Therefore, the greatest common factor (GCF) = 242/22 = 11.
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