Least Common Multiple of 118 and 126

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 126 the smallest integer that is 7434 that is divisible by both numbers.

Least Common Multiple (LCM) of 118 and 126 is 7434.

LCM(118,126) = 7434

LCM of 118 and 126

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

LCM of:
and

Least Common Multiple of 118 and 126

LCM of 118 and 126 is 7434

Least common multiple can be found by multiplying the highest exponent prime factors of 118 and 126. First we will calculate the prime factors of 118 and 126.

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 126


2 126
3 63
3 21
7 7
1

Prime factors of 126 are 2, 3,7. Prime factorization of 126 in exponential form is:

126 = 21×32×71

Now multiplying the highest exponent prime factors to calculate the LCM of 118 and 126.

LCM(118,126) = 21×32×71×591
LCM(118,126) = 7434

Factors of 118

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

1, 2, 59, 118

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Least Common Multiple of 118 and 126 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 126, than apply into the LCM equation.

GCF(118,126) = 2
LCM(118,126) = ( 118 × 126) / 2
LCM(118,126) = 14868 / 2
LCM(118,126) = 7434

Properties of LCM 118 and 126

(i) The LCM of 126 and 118 is associative

LCM of 118 and 126 = LCM of 126 and 118

Related Least Common Multiples of 118

Related Least Common Multiples of 126

Frequently Asked Questions on LCM of 118 and 126

1. What is the LCM of 118 and 126?

Answer: LCM of 118 and 126 is 7434.

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 126?

Answer: Factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126. There are 12 integers that are factors of 126. The greatest factor of 126 is 126.

4. How to Find the LCM of 118 and 126?

Answer:

Least Common Multiple of 118 and 126 = 7434

Step 1: Find the prime factorization of 118

118 = 2 x 59

Step 2: Find the prime factorization of 126

126 = 2 x 3 x 3 x 7

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

LCM = 7434 = 2 x 3 x 3 x 7 x 59

Step 4: Therefore, the least common multiple of 118 and 126 is 7434.