LCM of 2 and 11

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.

lcm of 2 and 11

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.

Frequently Asked Questions on LCM of 2 and 11

Q1

What is the LCM of 2 and 11?

The LCM of 2 and 11 is 22.
Q2

Is the LCM of 2 and 11 the same as the HCF of 2 and 11?

No. The Least Common Multiple of 2 and 11 is 22 and the Highest Common Factor of 2 and 11 is 1.
Q3

What is the common factor of 2 and 11?

1 is the common factor of  2 and 11.
Q4

What are the first 3 common multiples of 2 and 11?

The first three common multiples of 2 and 11 are 22, 44, and 66.
Q5

Is the LCM of 2 and 22 the same as the LCM of 2 and 11?

Yes. LCM of 2 and 22 is 22, whereas the LCM of 2 and 11 is also 22. They are the same.

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