Least Common Multiple of 118 and 124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 118 and 124 the smallest integer that is 7316 that is divisible by both numbers.

Least Common Multiple (LCM) of 118 and 124 is 7316.

LCM(118,124) = 7316

LCM of 118 and 124

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

LCM of:
and

Least Common Multiple of 118 and 124

LCM of 118 and 124 is 7316

Least common multiple can be found by multiplying the highest exponent prime factors of 118 and 124. First we will calculate the prime factors of 118 and 124.

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

Prime Factorization of 124


2 124
2 62
31 31
1

Prime factors of 124 are 2,31. Prime factorization of 124 in exponential form is:

124 = 22×311

Now multiplying the highest exponent prime factors to calculate the LCM of 118 and 124.

LCM(118,124) = 22×311×591
LCM(118,124) = 7316

Factors of 118

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

1, 2, 59, 118

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Least Common Multiple of 118 and 124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 118 and 124, than apply into the LCM equation.

GCF(118,124) = 2
LCM(118,124) = ( 118 × 124) / 2
LCM(118,124) = 14632 / 2
LCM(118,124) = 7316

Properties of LCM 118 and 124

(i) The LCM of 124 and 118 is associative

LCM of 118 and 124 = LCM of 124 and 118

Related Least Common Multiples of 118

Related Least Common Multiples of 124

Frequently Asked Questions on LCM of 118 and 124

1. What is the LCM of 118 and 124?

Answer: LCM of 118 and 124 is 7316.

2. 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.

3. What are the Factors of 124?

Answer: Factors of 124 are 1, 2, 4, 31, 62, 124. There are 6 integers that are factors of 124. The greatest factor of 124 is 124.

4. How to Find the LCM of 118 and 124?

Answer:

Least Common Multiple of 118 and 124 = 7316

Step 1: Find the prime factorization of 118

118 = 2 x 59

Step 2: Find the prime factorization of 124

124 = 2 x 2 x 31

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

LCM = 7316 = 2 x 2 x 31 x 59

Step 4: Therefore, the least common multiple of 118 and 124 is 7316.