Least Common Multiple of 6114 and 6118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6114 and 6118 the smallest integer that is 18702726 that is divisible by both numbers.

Least Common Multiple (LCM) of 6114 and 6118 is 18702726.

LCM(6114,6118) = 18702726

LCM of 6114 and 6118

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

LCM of:
and

Least Common Multiple of 6114 and 6118

LCM of 6114 and 6118 is 18702726

Least common multiple can be found by multiplying the highest exponent prime factors of 6114 and 6118. First we will calculate the prime factors of 6114 and 6118.

Prime Factorization of 6114


2 6114
3 3057
1019 1019
1

Prime factors of 6114 are 2, 3,1019. Prime factorization of 6114 in exponential form is:

6114 = 21×31×10191

Prime Factorization of 6118


2 6118
7 3059
19 437
23 23
1

Prime factors of 6118 are 2, 7, 19,23. Prime factorization of 6118 in exponential form is:

6118 = 21×71×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6114 and 6118.

LCM(6114,6118) = 21×31×71×191×231×10191
LCM(6114,6118) = 18702726

Factors of 6114

List of positive integer factors of 6114 that divides 6114 without a remainder.

1, 2, 3, 6, 1019, 2038, 3057, 6114

Factors of 6118

List of positive integer factors of 6118 that divides 6118 without a remainder.

1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118

Least Common Multiple of 6114 and 6118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6114 and 6118, than apply into the LCM equation.

GCF(6114,6118) = 2
LCM(6114,6118) = ( 6114 × 6118) / 2
LCM(6114,6118) = 37405452 / 2
LCM(6114,6118) = 18702726

Properties of LCM 6114 and 6118

(i) The LCM of 6118 and 6114 is associative

LCM of 6114 and 6118 = LCM of 6118 and 6114

Related Least Common Multiples of 6114

Related Least Common Multiples of 6118

Frequently Asked Questions on LCM of 6114 and 6118

1. What is the LCM of 6114 and 6118?

Answer: LCM of 6114 and 6118 is 18702726.

2. What are the Factors of 6114?

Answer: Factors of 6114 are 1, 2, 3, 6, 1019, 2038, 3057, 6114. There are 8 integers that are factors of 6114. The greatest factor of 6114 is 6114.

3. What are the Factors of 6118?

Answer: Factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118. There are 16 integers that are factors of 6118. The greatest factor of 6118 is 6118.

4. How to Find the LCM of 6114 and 6118?

Answer:

Least Common Multiple of 6114 and 6118 = 18702726

Step 1: Find the prime factorization of 6114

6114 = 2 x 3 x 1019

Step 2: Find the prime factorization of 6118

6118 = 2 x 7 x 19 x 23

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

LCM = 18702726 = 2 x 3 x 7 x 19 x 23 x 1019

Step 4: Therefore, the least common multiple of 6114 and 6118 is 18702726.