Least Common Multiple of 110 and 118

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 118 the smallest integer that is 6490 that is divisible by both numbers.

Least Common Multiple (LCM) of 110 and 118 is 6490.

LCM(110,118) = 6490

LCM of 110 and 118

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

LCM of:
and

Least Common Multiple of 110 and 118

LCM of 110 and 118 is 6490

Least common multiple can be found by multiplying the highest exponent prime factors of 110 and 118. First we will calculate the prime factors of 110 and 118.

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 118


2 118
59 59
1

Prime factors of 118 are 2,59. Prime factorization of 118 in exponential form is:

118 = 21×591

Now multiplying the highest exponent prime factors to calculate the LCM of 110 and 118.

LCM(110,118) = 21×51×111×591
LCM(110,118) = 6490

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 118

List of positive integer factors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Least Common Multiple of 110 and 118 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 118, than apply into the LCM equation.

GCF(110,118) = 2
LCM(110,118) = ( 110 × 118) / 2
LCM(110,118) = 12980 / 2
LCM(110,118) = 6490

Properties of LCM 110 and 118

(i) The LCM of 118 and 110 is associative

LCM of 110 and 118 = LCM of 118 and 110

Related Least Common Multiples of 110

Related Least Common Multiples of 118

Frequently Asked Questions on LCM of 110 and 118

1. What is the LCM of 110 and 118?

Answer: LCM of 110 and 118 is 6490.

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 118?

Answer: Factors of 118 are 1, 2, 59, 118. There are 4 integers that are factors of 118. The greatest factor of 118 is 118.

4. How to Find the LCM of 110 and 118?

Answer:

Least Common Multiple of 110 and 118 = 6490

Step 1: Find the prime factorization of 110

110 = 2 x 5 x 11

Step 2: Find the prime factorization of 118

118 = 2 x 59

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

LCM = 6490 = 2 x 5 x 11 x 59

Step 4: Therefore, the least common multiple of 110 and 118 is 6490.