Least Common Multiple of 5086 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 5086 and 5087 the smallest integer that is 25872482 that is divisible by both numbers.

Least Common Multiple (LCM) of 5086 and 5087 is 25872482.

LCM(5086,5087) = 25872482

LCM of 5086 and 5087

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

LCM of:
and

Least Common Multiple of 5086 and 5087

LCM of 5086 and 5087 is 25872482

Least common multiple can be found by multiplying the highest exponent prime factors of 5086 and 5087. First we will calculate the prime factors of 5086 and 5087.

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

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 5086 and 5087.

LCM(5086,5087) = 21×25431×50871
LCM(5086,5087) = 25872482

Factors of 5086

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

1, 2, 2543, 5086

Factors of 5087

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

1, 5087

Least Common Multiple of 5086 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 5086 and 5087, than apply into the LCM equation.

GCF(5086,5087) = 1
LCM(5086,5087) = ( 5086 × 5087) / 1
LCM(5086,5087) = 25872482 / 1
LCM(5086,5087) = 25872482

Properties of LCM 5086 and 5087

(i) The LCM of 5087 and 5086 is associative

LCM of 5086 and 5087 = LCM of 5087 and 5086

Related Least Common Multiples of 5086

Related Least Common Multiples of 5087

Frequently Asked Questions on LCM of 5086 and 5087

1. What is the LCM of 5086 and 5087?

Answer: LCM of 5086 and 5087 is 25872482.

2. 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.

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 5086 and 5087?

Answer:

Least Common Multiple of 5086 and 5087 = 25872482

Step 1: Find the prime factorization of 5086

5086 = 2 x 2543

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 = 25872482 = 2 x 2543 x 5087

Step 4: Therefore, the least common multiple of 5086 and 5087 is 25872482.