LCM of 11 and 15

LCM of 11 and 15 is 165. The Least Common multiple or Lowest common multiple simply known as LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 11 and 15, 165 is the first (least or smallest) number that is common in the set of multiples of 11 and 15. The LCM is also known as LCD, Least Common Divisor for 11 and 15 is 165. You can read more on LCM for further details.

What is LCM of 11 and 15

The Least Common Multiple or Lowest Common Multiple of 11 and 15 is 165.

LCM of 11 and 15

How to Find LCM of 11 and 15?

LCM of 11 and 15 can be determined using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 11 and 15 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 11 and 15 can be expressed as;

11 = 1 x 11

15 = 3 x 5

LCM (11, 15) = 3 x 5 x 11 = 165

LCM of 11 and 15 Using Division Method

In the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all, until no further division is possible or only when prime numbers are left. 

3

11

15

5

11

5

11

11

1

x

1

1

No further division can be done. Hence, LCM (11, 15) = 3 x 5 x 11 = 165

LCM of 11 and 15 Using Listing the Multiples

By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 11 and 15

Multiples of 11

Multiples of 15

11

15

22

30

33

45

44

60

55

75

66

90

77

105

88

120

99

135

110

150

121

165

132

180

143

195

154

210

165

225

176

240

LCM (11, 15) = 165

Related Articles

Video Lesson on Applications of LCM

Solved Examples 

  1. What is the smallest number that is divisible by both 11 and 15?

Answer: 165 is the smallest number that is divisible by both 11 and 15. 

2. What is the LCM for 1, 11 and 15? 

Answer: LCM for 1, 11 and 15 is 165.

Frequently Asked Questions on LCM of 11 and 15

Q1

What is the LCM of 11 and 15?

The LCM of 11 and 15 is 165.
Q2

Is the LCM of 11 and 15 the same as the HCF of 11 and 15?

No. Least Common Multiple of 11 and 15 is 165 and Highest Common Factor of 11 and 15 is 1.
Q3

What is the common factor of 11 and 15?

1 is the common factor of  11 and 15.

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