Least Common Multiple of 5087 and 5089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5087 and 5089 the smallest integer that is 25887743 that is divisible by both numbers.

Least Common Multiple (LCM) of 5087 and 5089 is 25887743.

LCM(5087,5089) = 25887743

LCM of 5087 and 5089

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

LCM of:
and

Least Common Multiple of 5087 and 5089

LCM of 5087 and 5089 is 25887743

Least common multiple can be found by multiplying the highest exponent prime factors of 5087 and 5089. First we will calculate the prime factors of 5087 and 5089.

Prime Factorization of 5087


5087 5087
1

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

5087 = 50871

Prime Factorization of 5089


7 5089
727 727
1

Prime factors of 5089 are 7,727. Prime factorization of 5089 in exponential form is:

5089 = 71×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 5087 and 5089.

LCM(5087,5089) = 71×7271×50871
LCM(5087,5089) = 25887743

Factors of 5087

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

1, 5087

Factors of 5089

List of positive integer factors of 5089 that divides 5089 without a remainder.

1, 7, 727, 5089

Least Common Multiple of 5087 and 5089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5087 and 5089, than apply into the LCM equation.

GCF(5087,5089) = 1
LCM(5087,5089) = ( 5087 × 5089) / 1
LCM(5087,5089) = 25887743 / 1
LCM(5087,5089) = 25887743

Properties of LCM 5087 and 5089

(i) The LCM of 5089 and 5087 is associative

LCM of 5087 and 5089 = LCM of 5089 and 5087

Related Least Common Multiples of 5087

Related Least Common Multiples of 5089

Frequently Asked Questions on LCM of 5087 and 5089

1. What is the LCM of 5087 and 5089?

Answer: LCM of 5087 and 5089 is 25887743.

2. 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.

3. What are the Factors of 5089?

Answer: Factors of 5089 are 1, 7, 727, 5089. There are 4 integers that are factors of 5089. The greatest factor of 5089 is 5089.

4. How to Find the LCM of 5087 and 5089?

Answer:

Least Common Multiple of 5087 and 5089 = 25887743

Step 1: Find the prime factorization of 5087

5087 = 5087

Step 2: Find the prime factorization of 5089

5089 = 7 x 727

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

LCM = 25887743 = 7 x 727 x 5087

Step 4: Therefore, the least common multiple of 5087 and 5089 is 25887743.