LCM of 2 and 11 is 22. If you observe the common multiples of 2 and 11, there are 22, 44, 66, 88 and so on. Out of these common multiples, 22 is the least number or the smallest number that is common. Hence 22 is called the Least Common multiple or Lowest common multiple or simply LCM. The LCM is also known as LCD, Least Common Divisor for 2 and 11 is 22. You can refer to the LCM with Examples for more understanding.
What is LCM of 2 and 11
The Least Common Multiple or Lowest Common Multiple of 2 and 11 is 22.
How to Find LCM of 2 and 11?
LCM of 2 and 11 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 2 and 11 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 2 and 11 can be expressed as;
2 = 2 × 1
11 = 11 × 1
Both 2 and 11 are prime numbers. Hence the product of 2 and 11 forms the LCM
LCM (2, 11) = 2 × 11 = 22
LCM of 2 and 11 Using Division Method
In the Division Method, the numbers 2 and 11 are divided by prime divisors. SInce both 2 and 11 are prime numbers, the product of these 2 numbers forms the LCM.
|
2 |
2 |
11 |
|
11 |
1 |
11 |
|
× |
1 |
1 |
Hence, LCM (2, 11) = 2 × 7 = 22
LCM of 2 and 11 Using Listing the Multiples
By listing all the multiples of 2 and 11, we can identify the LCM. Below is the list of multiples for 2 and 11
|
Multiples of 2 |
Multiples of 11 |
|
2 |
11 |
|
4 |
22 |
|
6 |
33 |
|
8 |
44 |
|
10 |
55 |
|
12 |
66 |
|
14 |
77 |
|
16 |
88 |
|
18 |
99 |
|
20 |
110 |
|
22 |
121 |
LCM (2, 11) = 22
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 2 and 11?
Answer: 22 is the smallest number that is divisible by both 2 and 11.
What is the Greatest Common Divisor for 2 and 11?
Answer: Greatest Common Divisor for 2 and 11 is 1.
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