Least Common Multiple of 108 and 110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 108 and 110 the smallest integer that is 5940 that is divisible by both numbers.

Least Common Multiple (LCM) of 108 and 110 is 5940.

LCM(108,110) = 5940

LCM of 108 and 110

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

LCM of:
and

Least Common Multiple of 108 and 110

LCM of 108 and 110 is 5940

Least common multiple can be found by multiplying the highest exponent prime factors of 108 and 110. First we will calculate the prime factors of 108 and 110.

Prime Factorization of 108


2 108
2 54
3 27
3 9
3 3
1

Prime factors of 108 are 2,3. Prime factorization of 108 in exponential form is:

108 = 22×33

Prime Factorization of 110


2 110
5 55
11 11
1

Prime factors of 110 are 2, 5,11. Prime factorization of 110 in exponential form is:

110 = 21×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 108 and 110.

LCM(108,110) = 22×33×51×111
LCM(108,110) = 5940

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Least Common Multiple of 108 and 110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 108 and 110, than apply into the LCM equation.

GCF(108,110) = 2
LCM(108,110) = ( 108 × 110) / 2
LCM(108,110) = 11880 / 2
LCM(108,110) = 5940

Properties of LCM 108 and 110

(i) The LCM of 110 and 108 is associative

LCM of 108 and 110 = LCM of 110 and 108

Related Least Common Multiples of 108

Related Least Common Multiples of 110

Frequently Asked Questions on LCM of 108 and 110

1. What is the LCM of 108 and 110?

Answer: LCM of 108 and 110 is 5940.

2. What are the Factors of 108?

Answer: Factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108. There are 12 integers that are factors of 108. The greatest factor of 108 is 108.

3. What are the Factors of 110?

Answer: Factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110. There are 8 integers that are factors of 110. The greatest factor of 110 is 110.

4. How to Find the LCM of 108 and 110?

Answer:

Least Common Multiple of 108 and 110 = 5940

Step 1: Find the prime factorization of 108

108 = 2 x 2 x 3 x 3 x 3

Step 2: Find the prime factorization of 110

110 = 2 x 5 x 11

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

LCM = 5940 = 2 x 2 x 3 x 3 x 3 x 5 x 11

Step 4: Therefore, the least common multiple of 108 and 110 is 5940.