Least Common Multiple of 5102 and 5107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5102 and 5107 the smallest integer that is 26055914 that is divisible by both numbers.

Least Common Multiple (LCM) of 5102 and 5107 is 26055914.

LCM(5102,5107) = 26055914

LCM of 5102 and 5107

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

LCM of:
and

Least Common Multiple of 5102 and 5107

LCM of 5102 and 5107 is 26055914

Least common multiple can be found by multiplying the highest exponent prime factors of 5102 and 5107. First we will calculate the prime factors of 5102 and 5107.

Prime Factorization of 5102


2 5102
2551 2551
1

Prime factors of 5102 are 2,2551. Prime factorization of 5102 in exponential form is:

5102 = 21×25511

Prime Factorization of 5107


5107 5107
1

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

5107 = 51071

Now multiplying the highest exponent prime factors to calculate the LCM of 5102 and 5107.

LCM(5102,5107) = 21×25511×51071
LCM(5102,5107) = 26055914

Factors of 5102

List of positive integer factors of 5102 that divides 5102 without a remainder.

1, 2, 2551, 5102

Factors of 5107

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

1, 5107

Least Common Multiple of 5102 and 5107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5102 and 5107, than apply into the LCM equation.

GCF(5102,5107) = 1
LCM(5102,5107) = ( 5102 × 5107) / 1
LCM(5102,5107) = 26055914 / 1
LCM(5102,5107) = 26055914

Properties of LCM 5102 and 5107

(i) The LCM of 5107 and 5102 is associative

LCM of 5102 and 5107 = LCM of 5107 and 5102

Related Least Common Multiples of 5102

Related Least Common Multiples of 5107

Frequently Asked Questions on LCM of 5102 and 5107

1. What is the LCM of 5102 and 5107?

Answer: LCM of 5102 and 5107 is 26055914.

2. What are the Factors of 5102?

Answer: Factors of 5102 are 1, 2, 2551, 5102. There are 4 integers that are factors of 5102. The greatest factor of 5102 is 5102.

3. 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.

4. How to Find the LCM of 5102 and 5107?

Answer:

Least Common Multiple of 5102 and 5107 = 26055914

Step 1: Find the prime factorization of 5102

5102 = 2 x 2551

Step 2: Find the prime factorization of 5107

5107 = 5107

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

LCM = 26055914 = 2 x 2551 x 5107

Step 4: Therefore, the least common multiple of 5102 and 5107 is 26055914.