Least Common Multiple of 6107 and 6114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6107 and 6114 the smallest integer that is 37338198 that is divisible by both numbers.

Least Common Multiple (LCM) of 6107 and 6114 is 37338198.

LCM(6107,6114) = 37338198

LCM of 6107 and 6114

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

LCM of:
and

Least Common Multiple of 6107 and 6114

LCM of 6107 and 6114 is 37338198

Least common multiple can be found by multiplying the highest exponent prime factors of 6107 and 6114. First we will calculate the prime factors of 6107 and 6114.

Prime Factorization of 6107


31 6107
197 197
1

Prime factors of 6107 are 31,197. Prime factorization of 6107 in exponential form is:

6107 = 311×1971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6107 and 6114.

LCM(6107,6114) = 21×31×311×1971×10191
LCM(6107,6114) = 37338198

Factors of 6107

List of positive integer factors of 6107 that divides 6107 without a remainder.

1, 31, 197, 6107

Factors of 6114

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

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

Least Common Multiple of 6107 and 6114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6107 and 6114, than apply into the LCM equation.

GCF(6107,6114) = 1
LCM(6107,6114) = ( 6107 × 6114) / 1
LCM(6107,6114) = 37338198 / 1
LCM(6107,6114) = 37338198

Properties of LCM 6107 and 6114

(i) The LCM of 6114 and 6107 is associative

LCM of 6107 and 6114 = LCM of 6114 and 6107

Related Least Common Multiples of 6107

Related Least Common Multiples of 6114

Frequently Asked Questions on LCM of 6107 and 6114

1. What is the LCM of 6107 and 6114?

Answer: LCM of 6107 and 6114 is 37338198.

2. What are the Factors of 6107?

Answer: Factors of 6107 are 1, 31, 197, 6107. There are 4 integers that are factors of 6107. The greatest factor of 6107 is 6107.

3. 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.

4. How to Find the LCM of 6107 and 6114?

Answer:

Least Common Multiple of 6107 and 6114 = 37338198

Step 1: Find the prime factorization of 6107

6107 = 31 x 197

Step 2: Find the prime factorization of 6114

6114 = 2 x 3 x 1019

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

LCM = 37338198 = 2 x 3 x 31 x 197 x 1019

Step 4: Therefore, the least common multiple of 6107 and 6114 is 37338198.