Least Common Multiple of 116 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 116 and 118 the smallest integer that is 6844 that is divisible by both numbers.

Least Common Multiple (LCM) of 116 and 118 is 6844.

LCM(116,118) = 6844

LCM of 116 and 118

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

LCM of:
and

Least Common Multiple of 116 and 118

LCM of 116 and 118 is 6844

Least common multiple can be found by multiplying the highest exponent prime factors of 116 and 118. First we will calculate the prime factors of 116 and 118.

Prime Factorization of 116


2 116
2 58
29 29
1

Prime factors of 116 are 2,29. Prime factorization of 116 in exponential form is:

116 = 22×291

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 116 and 118.

LCM(116,118) = 22×291×591
LCM(116,118) = 6844

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Factors of 118

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

1, 2, 59, 118

Least Common Multiple of 116 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 116 and 118, than apply into the LCM equation.

GCF(116,118) = 2
LCM(116,118) = ( 116 × 118) / 2
LCM(116,118) = 13688 / 2
LCM(116,118) = 6844

Properties of LCM 116 and 118

(i) The LCM of 118 and 116 is associative

LCM of 116 and 118 = LCM of 118 and 116

Related Least Common Multiples of 116

Related Least Common Multiples of 118

Frequently Asked Questions on LCM of 116 and 118

1. What is the LCM of 116 and 118?

Answer: LCM of 116 and 118 is 6844.

2. What are the Factors of 116?

Answer: Factors of 116 are 1, 2, 4, 29, 58, 116. There are 6 integers that are factors of 116. The greatest factor of 116 is 116.

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 116 and 118?

Answer:

Least Common Multiple of 116 and 118 = 6844

Step 1: Find the prime factorization of 116

116 = 2 x 2 x 29

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 = 6844 = 2 x 2 x 29 x 59

Step 4: Therefore, the least common multiple of 116 and 118 is 6844.