Least Common Multiple of 5081 and 5087

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 5087 the smallest integer that is 25847047 that is divisible by both numbers.

Least Common Multiple (LCM) of 5081 and 5087 is 25847047.

LCM(5081,5087) = 25847047

LCM of 5081 and 5087

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

LCM of:
and

Least Common Multiple of 5081 and 5087

LCM of 5081 and 5087 is 25847047

Least common multiple can be found by multiplying the highest exponent prime factors of 5081 and 5087. First we will calculate the prime factors of 5081 and 5087.

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 5087


5087 5087
1

Prime factors of 5087 are 5087. Prime factorization of 5087 in exponential form is:

5087 = 50871

Now multiplying the highest exponent prime factors to calculate the LCM of 5081 and 5087.

LCM(5081,5087) = 50811×50871
LCM(5081,5087) = 25847047

Factors of 5081

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

1, 5081

Factors of 5087

List of positive integer factors of 5087 that divides 5087 without a remainder.

1, 5087

Least Common Multiple of 5081 and 5087 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 5087, than apply into the LCM equation.

GCF(5081,5087) = 1
LCM(5081,5087) = ( 5081 × 5087) / 1
LCM(5081,5087) = 25847047 / 1
LCM(5081,5087) = 25847047

Properties of LCM 5081 and 5087

(i) The LCM of 5087 and 5081 is associative

LCM of 5081 and 5087 = LCM of 5087 and 5081

Related Least Common Multiples of 5081

Related Least Common Multiples of 5087

Frequently Asked Questions on LCM of 5081 and 5087

1. What is the LCM of 5081 and 5087?

Answer: LCM of 5081 and 5087 is 25847047.

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 5087?

Answer: Factors of 5087 are 1, 5087. There are 2 integers that are factors of 5087. The greatest factor of 5087 is 5087.

4. How to Find the LCM of 5081 and 5087?

Answer:

Least Common Multiple of 5081 and 5087 = 25847047

Step 1: Find the prime factorization of 5081

5081 = 5081

Step 2: Find the prime factorization of 5087

5087 = 5087

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

LCM = 25847047 = 5081 x 5087

Step 4: Therefore, the least common multiple of 5081 and 5087 is 25847047.