Least Common Multiple of 6109 and 6116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6109 and 6116 the smallest integer that is 37362644 that is divisible by both numbers.

Least Common Multiple (LCM) of 6109 and 6116 is 37362644.

LCM(6109,6116) = 37362644

LCM of 6109 and 6116

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

LCM of:
and

Least Common Multiple of 6109 and 6116

LCM of 6109 and 6116 is 37362644

Least common multiple can be found by multiplying the highest exponent prime factors of 6109 and 6116. First we will calculate the prime factors of 6109 and 6116.

Prime Factorization of 6109


41 6109
149 149
1

Prime factors of 6109 are 41,149. Prime factorization of 6109 in exponential form is:

6109 = 411×1491

Prime Factorization of 6116


2 6116
2 3058
11 1529
139 139
1

Prime factors of 6116 are 2, 11,139. Prime factorization of 6116 in exponential form is:

6116 = 22×111×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 6109 and 6116.

LCM(6109,6116) = 22×111×411×1391×1491
LCM(6109,6116) = 37362644

Factors of 6109

List of positive integer factors of 6109 that divides 6109 without a remainder.

1, 41, 149, 6109

Factors of 6116

List of positive integer factors of 6116 that divides 6116 without a remainder.

1, 2, 4, 11, 22, 44, 139, 278, 556, 1529, 3058, 6116

Least Common Multiple of 6109 and 6116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6109 and 6116, than apply into the LCM equation.

GCF(6109,6116) = 1
LCM(6109,6116) = ( 6109 × 6116) / 1
LCM(6109,6116) = 37362644 / 1
LCM(6109,6116) = 37362644

Properties of LCM 6109 and 6116

(i) The LCM of 6116 and 6109 is associative

LCM of 6109 and 6116 = LCM of 6116 and 6109

Related Least Common Multiples of 6109

Related Least Common Multiples of 6116

Frequently Asked Questions on LCM of 6109 and 6116

1. What is the LCM of 6109 and 6116?

Answer: LCM of 6109 and 6116 is 37362644.

2. What are the Factors of 6109?

Answer: Factors of 6109 are 1, 41, 149, 6109. There are 4 integers that are factors of 6109. The greatest factor of 6109 is 6109.

3. What are the Factors of 6116?

Answer: Factors of 6116 are 1, 2, 4, 11, 22, 44, 139, 278, 556, 1529, 3058, 6116. There are 12 integers that are factors of 6116. The greatest factor of 6116 is 6116.

4. How to Find the LCM of 6109 and 6116?

Answer:

Least Common Multiple of 6109 and 6116 = 37362644

Step 1: Find the prime factorization of 6109

6109 = 41 x 149

Step 2: Find the prime factorization of 6116

6116 = 2 x 2 x 11 x 139

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

LCM = 37362644 = 2 x 2 x 11 x 41 x 139 x 149

Step 4: Therefore, the least common multiple of 6109 and 6116 is 37362644.