Least Common Multiple of 5105 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 5105 and 5109 the smallest integer that is 26081445 that is divisible by both numbers.

Least Common Multiple (LCM) of 5105 and 5109 is 26081445.

LCM(5105,5109) = 26081445

LCM of 5105 and 5109

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

LCM of:
and

Least Common Multiple of 5105 and 5109

LCM of 5105 and 5109 is 26081445

Least common multiple can be found by multiplying the highest exponent prime factors of 5105 and 5109. First we will calculate the prime factors of 5105 and 5109.

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 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 5105 and 5109.

LCM(5105,5109) = 31×51×131×1311×10211
LCM(5105,5109) = 26081445

Factors of 5105

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

1, 5, 1021, 5105

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 5105 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 5105 and 5109, than apply into the LCM equation.

GCF(5105,5109) = 1
LCM(5105,5109) = ( 5105 × 5109) / 1
LCM(5105,5109) = 26081445 / 1
LCM(5105,5109) = 26081445

Properties of LCM 5105 and 5109

(i) The LCM of 5109 and 5105 is associative

LCM of 5105 and 5109 = LCM of 5109 and 5105

Related Least Common Multiples of 5105

Related Least Common Multiples of 5109

Frequently Asked Questions on LCM of 5105 and 5109

1. What is the LCM of 5105 and 5109?

Answer: LCM of 5105 and 5109 is 26081445.

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 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 5105 and 5109?

Answer:

Least Common Multiple of 5105 and 5109 = 26081445

Step 1: Find the prime factorization of 5105

5105 = 5 x 1021

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 = 26081445 = 3 x 5 x 13 x 131 x 1021

Step 4: Therefore, the least common multiple of 5105 and 5109 is 26081445.