Least Common Multiple of 5105 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 5105 and 5113 the smallest integer that is 26101865 that is divisible by both numbers.

Least Common Multiple (LCM) of 5105 and 5113 is 26101865.

LCM(5105,5113) = 26101865

LCM of 5105 and 5113

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

LCM of:
and

Least Common Multiple of 5105 and 5113

LCM of 5105 and 5113 is 26101865

Least common multiple can be found by multiplying the highest exponent prime factors of 5105 and 5113. First we will calculate the prime factors of 5105 and 5113.

Prime Factorization of 5105


5 5105
1021 1021
1

Prime factors of 5105 are 5,1021. Prime factorization of 5105 in exponential form is:

5105 = 51×10211

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 5105 and 5113.

LCM(5105,5113) = 51×10211×51131
LCM(5105,5113) = 26101865

Factors of 5105

List of positive integer factors of 5105 that divides 5105 without a remainder.

1, 5, 1021, 5105

Factors of 5113

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

1, 5113

Least Common Multiple of 5105 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 5105 and 5113, than apply into the LCM equation.

GCF(5105,5113) = 1
LCM(5105,5113) = ( 5105 × 5113) / 1
LCM(5105,5113) = 26101865 / 1
LCM(5105,5113) = 26101865

Properties of LCM 5105 and 5113

(i) The LCM of 5113 and 5105 is associative

LCM of 5105 and 5113 = LCM of 5113 and 5105

Related Least Common Multiples of 5105

Related Least Common Multiples of 5113

Frequently Asked Questions on LCM of 5105 and 5113

1. What is the LCM of 5105 and 5113?

Answer: LCM of 5105 and 5113 is 26101865.

2. What are the Factors of 5105?

Answer: Factors of 5105 are 1, 5, 1021, 5105. There are 4 integers that are factors of 5105. The greatest factor of 5105 is 5105.

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 5105 and 5113?

Answer:

Least Common Multiple of 5105 and 5113 = 26101865

Step 1: Find the prime factorization of 5105

5105 = 5 x 1021

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 = 26101865 = 5 x 1021 x 5113

Step 4: Therefore, the least common multiple of 5105 and 5113 is 26101865.