Least Common Multiple of 5081 and 5086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5081 and 5086 the smallest integer that is 25841966 that is divisible by both numbers.

Least Common Multiple (LCM) of 5081 and 5086 is 25841966.

LCM(5081,5086) = 25841966

LCM of 5081 and 5086

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

LCM of:
and

Least Common Multiple of 5081 and 5086

LCM of 5081 and 5086 is 25841966

Least common multiple can be found by multiplying the highest exponent prime factors of 5081 and 5086. First we will calculate the prime factors of 5081 and 5086.

Prime Factorization of 5081


5081 5081
1

Prime factors of 5081 are 5081. Prime factorization of 5081 in exponential form is:

5081 = 50811

Prime Factorization of 5086


2 5086
2543 2543
1

Prime factors of 5086 are 2,2543. Prime factorization of 5086 in exponential form is:

5086 = 21×25431

Now multiplying the highest exponent prime factors to calculate the LCM of 5081 and 5086.

LCM(5081,5086) = 21×25431×50811
LCM(5081,5086) = 25841966

Factors of 5081

List of positive integer factors of 5081 that divides 5081 without a remainder.

1, 5081

Factors of 5086

List of positive integer factors of 5086 that divides 5086 without a remainder.

1, 2, 2543, 5086

Least Common Multiple of 5081 and 5086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5081 and 5086, than apply into the LCM equation.

GCF(5081,5086) = 1
LCM(5081,5086) = ( 5081 × 5086) / 1
LCM(5081,5086) = 25841966 / 1
LCM(5081,5086) = 25841966

Properties of LCM 5081 and 5086

(i) The LCM of 5086 and 5081 is associative

LCM of 5081 and 5086 = LCM of 5086 and 5081

Related Least Common Multiples of 5081

Related Least Common Multiples of 5086

Frequently Asked Questions on LCM of 5081 and 5086

1. What is the LCM of 5081 and 5086?

Answer: LCM of 5081 and 5086 is 25841966.

2. What are the Factors of 5081?

Answer: Factors of 5081 are 1, 5081. There are 2 integers that are factors of 5081. The greatest factor of 5081 is 5081.

3. What are the Factors of 5086?

Answer: Factors of 5086 are 1, 2, 2543, 5086. There are 4 integers that are factors of 5086. The greatest factor of 5086 is 5086.

4. How to Find the LCM of 5081 and 5086?

Answer:

Least Common Multiple of 5081 and 5086 = 25841966

Step 1: Find the prime factorization of 5081

5081 = 5081

Step 2: Find the prime factorization of 5086

5086 = 2 x 2543

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

LCM = 25841966 = 2 x 2543 x 5081

Step 4: Therefore, the least common multiple of 5081 and 5086 is 25841966.