Least Common Multiple of 110 and 117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 110 and 117 the smallest integer that is 12870 that is divisible by both numbers.

Least Common Multiple (LCM) of 110 and 117 is 12870.

LCM(110,117) = 12870

LCM of 110 and 117

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

LCM of:
and

Least Common Multiple of 110 and 117

LCM of 110 and 117 is 12870

Least common multiple can be found by multiplying the highest exponent prime factors of 110 and 117. First we will calculate the prime factors of 110 and 117.

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

Prime Factorization of 117


3 117
3 39
13 13
1

Prime factors of 117 are 3,13. Prime factorization of 117 in exponential form is:

117 = 32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 110 and 117.

LCM(110,117) = 21×32×51×111×131
LCM(110,117) = 12870

Factors of 110

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

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

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Least Common Multiple of 110 and 117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 110 and 117, than apply into the LCM equation.

GCF(110,117) = 1
LCM(110,117) = ( 110 × 117) / 1
LCM(110,117) = 12870 / 1
LCM(110,117) = 12870

Properties of LCM 110 and 117

(i) The LCM of 117 and 110 is associative

LCM of 110 and 117 = LCM of 117 and 110

Related Least Common Multiples of 110

Related Least Common Multiples of 117

Frequently Asked Questions on LCM of 110 and 117

1. What is the LCM of 110 and 117?

Answer: LCM of 110 and 117 is 12870.

2. 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.

3. What are the Factors of 117?

Answer: Factors of 117 are 1, 3, 9, 13, 39, 117. There are 6 integers that are factors of 117. The greatest factor of 117 is 117.

4. How to Find the LCM of 110 and 117?

Answer:

Least Common Multiple of 110 and 117 = 12870

Step 1: Find the prime factorization of 110

110 = 2 x 5 x 11

Step 2: Find the prime factorization of 117

117 = 3 x 3 x 13

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

LCM = 12870 = 2 x 3 x 3 x 5 x 11 x 13

Step 4: Therefore, the least common multiple of 110 and 117 is 12870.