Least Common Multiple of 5107 and 5113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5107 and 5113 the smallest integer that is 26112091 that is divisible by both numbers.

Least Common Multiple (LCM) of 5107 and 5113 is 26112091.

LCM(5107,5113) = 26112091

LCM of 5107 and 5113

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

LCM of:
and

Least Common Multiple of 5107 and 5113

LCM of 5107 and 5113 is 26112091

Least common multiple can be found by multiplying the highest exponent prime factors of 5107 and 5113. First we will calculate the prime factors of 5107 and 5113.

Prime Factorization of 5107


5107 5107
1

Prime factors of 5107 are 5107. Prime factorization of 5107 in exponential form is:

5107 = 51071

Prime Factorization of 5113


5113 5113
1

Prime factors of 5113 are 5113. Prime factorization of 5113 in exponential form is:

5113 = 51131

Now multiplying the highest exponent prime factors to calculate the LCM of 5107 and 5113.

LCM(5107,5113) = 51071×51131
LCM(5107,5113) = 26112091

Factors of 5107

List of positive integer factors of 5107 that divides 5107 without a remainder.

1, 5107

Factors of 5113

List of positive integer factors of 5113 that divides 5113 without a remainder.

1, 5113

Least Common Multiple of 5107 and 5113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5107 and 5113, than apply into the LCM equation.

GCF(5107,5113) = 1
LCM(5107,5113) = ( 5107 × 5113) / 1
LCM(5107,5113) = 26112091 / 1
LCM(5107,5113) = 26112091

Properties of LCM 5107 and 5113

(i) The LCM of 5113 and 5107 is associative

LCM of 5107 and 5113 = LCM of 5113 and 5107

Related Least Common Multiples of 5107

Related Least Common Multiples of 5113

Frequently Asked Questions on LCM of 5107 and 5113

1. What is the LCM of 5107 and 5113?

Answer: LCM of 5107 and 5113 is 26112091.

2. What are the Factors of 5107?

Answer: Factors of 5107 are 1, 5107. There are 2 integers that are factors of 5107. The greatest factor of 5107 is 5107.

3. What are the Factors of 5113?

Answer: Factors of 5113 are 1, 5113. There are 2 integers that are factors of 5113. The greatest factor of 5113 is 5113.

4. How to Find the LCM of 5107 and 5113?

Answer:

Least Common Multiple of 5107 and 5113 = 26112091

Step 1: Find the prime factorization of 5107

5107 = 5107

Step 2: Find the prime factorization of 5113

5113 = 5113

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

LCM = 26112091 = 5107 x 5113

Step 4: Therefore, the least common multiple of 5107 and 5113 is 26112091.