Least Common Multiple of 15 and 11

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15 and 11 the smallest integer that is 165 that is divisible by both numbers.

Least Common Multiple (LCM) of 15 and 11 is 165.

LCM(15,11) = 165

LCM of 15 and 11

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 15 and 11

LCM of 15 and 11 is 165

Least common multiple can be found by multiplying the highest exponent prime factors of 15 and 11. First we will calculate the prime factors of 15 and 11.

Prime Factorization of 15


3 15
5 5
1

Prime factors of 15 are 3,5. Prime factorization of 15 in exponential form is:

15 = 31×51

Prime Factorization of 11


11 11
1

Prime factors of 11 are 11. Prime factorization of 11 in exponential form is:

11 = 111

Now multiplying the highest exponent prime factors to calculate the LCM of 15 and 11.

LCM(15,11) = 31×51×111
LCM(15,11) = 165

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1, 11

Least Common Multiple of 15 and 11 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15 and 11, than apply into the LCM equation.

GCF(15,11) = 1
LCM(15,11) = ( 15 × 11) / 1
LCM(15,11) = 165 / 1
LCM(15,11) = 165

Properties of LCM 15 and 11

(i) The LCM of 11 and 15 is associative

LCM of 15 and 11 = LCM of 11 and 15

Related Least Common Multiples of 15

Related Least Common Multiples of 11

Frequently Asked Questions on LCM of 15 and 11

1. What is the LCM of 15 and 11?

Answer: LCM of 15 and 11 is 165.

2. What are the Factors of 15?

Answer: Factors of 15 are 1, 3, 5, 15. There are 4 integers that are factors of 15. The greatest factor of 15 is 15.

3. What are the Factors of 11?

Answer: Factors of 11 are 1, 11. There are 2 integers that are factors of 11. The greatest factor of 11 is 11.

4. How to Find the LCM of 15 and 11?

Answer:

Least Common Multiple of 15 and 11 = 165

Step 1: Find the prime factorization of 15

15 = 3 x 5

Step 2: Find the prime factorization of 11

11 = 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 165 = 3 x 5 x 11

Step 4: Therefore, the least common multiple of 15 and 11 is 165.