Least Common Multiple of 5107 and 5109

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 5109 the smallest integer that is 26091663 that is divisible by both numbers.

Least Common Multiple (LCM) of 5107 and 5109 is 26091663.

LCM(5107,5109) = 26091663

LCM of 5107 and 5109

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

LCM of:
and

Least Common Multiple of 5107 and 5109

LCM of 5107 and 5109 is 26091663

Least common multiple can be found by multiplying the highest exponent prime factors of 5107 and 5109. First we will calculate the prime factors of 5107 and 5109.

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 5109


3 5109
13 1703
131 131
1

Prime factors of 5109 are 3, 13,131. Prime factorization of 5109 in exponential form is:

5109 = 31×131×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 5107 and 5109.

LCM(5107,5109) = 31×131×1311×51071
LCM(5107,5109) = 26091663

Factors of 5107

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

1, 5107

Factors of 5109

List of positive integer factors of 5109 that divides 5109 without a remainder.

1, 3, 13, 39, 131, 393, 1703, 5109

Least Common Multiple of 5107 and 5109 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 5109, than apply into the LCM equation.

GCF(5107,5109) = 1
LCM(5107,5109) = ( 5107 × 5109) / 1
LCM(5107,5109) = 26091663 / 1
LCM(5107,5109) = 26091663

Properties of LCM 5107 and 5109

(i) The LCM of 5109 and 5107 is associative

LCM of 5107 and 5109 = LCM of 5109 and 5107

Related Least Common Multiples of 5107

Related Least Common Multiples of 5109

Frequently Asked Questions on LCM of 5107 and 5109

1. What is the LCM of 5107 and 5109?

Answer: LCM of 5107 and 5109 is 26091663.

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 5109?

Answer: Factors of 5109 are 1, 3, 13, 39, 131, 393, 1703, 5109. There are 8 integers that are factors of 5109. The greatest factor of 5109 is 5109.

4. How to Find the LCM of 5107 and 5109?

Answer:

Least Common Multiple of 5107 and 5109 = 26091663

Step 1: Find the prime factorization of 5107

5107 = 5107

Step 2: Find the prime factorization of 5109

5109 = 3 x 13 x 131

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

LCM = 26091663 = 3 x 13 x 131 x 5107

Step 4: Therefore, the least common multiple of 5107 and 5109 is 26091663.