Least Common Multiple of 6106 and 6113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6106 and 6113 the smallest integer that is 37325978 that is divisible by both numbers.

Least Common Multiple (LCM) of 6106 and 6113 is 37325978.

LCM(6106,6113) = 37325978

LCM of 6106 and 6113

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

LCM of:
and

Least Common Multiple of 6106 and 6113

LCM of 6106 and 6113 is 37325978

Least common multiple can be found by multiplying the highest exponent prime factors of 6106 and 6113. First we will calculate the prime factors of 6106 and 6113.

Prime Factorization of 6106


2 6106
43 3053
71 71
1

Prime factors of 6106 are 2, 43,71. Prime factorization of 6106 in exponential form is:

6106 = 21×431×711

Prime Factorization of 6113


6113 6113
1

Prime factors of 6113 are 6113. Prime factorization of 6113 in exponential form is:

6113 = 61131

Now multiplying the highest exponent prime factors to calculate the LCM of 6106 and 6113.

LCM(6106,6113) = 21×431×711×61131
LCM(6106,6113) = 37325978

Factors of 6106

List of positive integer factors of 6106 that divides 6106 without a remainder.

1, 2, 43, 71, 86, 142, 3053, 6106

Factors of 6113

List of positive integer factors of 6113 that divides 6113 without a remainder.

1, 6113

Least Common Multiple of 6106 and 6113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6106 and 6113, than apply into the LCM equation.

GCF(6106,6113) = 1
LCM(6106,6113) = ( 6106 × 6113) / 1
LCM(6106,6113) = 37325978 / 1
LCM(6106,6113) = 37325978

Properties of LCM 6106 and 6113

(i) The LCM of 6113 and 6106 is associative

LCM of 6106 and 6113 = LCM of 6113 and 6106

Related Least Common Multiples of 6106

Related Least Common Multiples of 6113

Frequently Asked Questions on LCM of 6106 and 6113

1. What is the LCM of 6106 and 6113?

Answer: LCM of 6106 and 6113 is 37325978.

2. What are the Factors of 6106?

Answer: Factors of 6106 are 1, 2, 43, 71, 86, 142, 3053, 6106. There are 8 integers that are factors of 6106. The greatest factor of 6106 is 6106.

3. What are the Factors of 6113?

Answer: Factors of 6113 are 1, 6113. There are 2 integers that are factors of 6113. The greatest factor of 6113 is 6113.

4. How to Find the LCM of 6106 and 6113?

Answer:

Least Common Multiple of 6106 and 6113 = 37325978

Step 1: Find the prime factorization of 6106

6106 = 2 x 43 x 71

Step 2: Find the prime factorization of 6113

6113 = 6113

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

LCM = 37325978 = 2 x 43 x 71 x 6113

Step 4: Therefore, the least common multiple of 6106 and 6113 is 37325978.