Least Common Multiple of 5084 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 5084 and 5089 the smallest integer that is 25872476 that is divisible by both numbers.

Least Common Multiple (LCM) of 5084 and 5089 is 25872476.

LCM(5084,5089) = 25872476

LCM of 5084 and 5089

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

LCM of:
and

Least Common Multiple of 5084 and 5089

LCM of 5084 and 5089 is 25872476

Least common multiple can be found by multiplying the highest exponent prime factors of 5084 and 5089. First we will calculate the prime factors of 5084 and 5089.

Prime Factorization of 5084


2 5084
2 2542
31 1271
41 41
1

Prime factors of 5084 are 2, 31,41. Prime factorization of 5084 in exponential form is:

5084 = 22×311×411

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 5084 and 5089.

LCM(5084,5089) = 22×71×311×411×7271
LCM(5084,5089) = 25872476

Factors of 5084

List of positive integer factors of 5084 that divides 5084 without a remainder.

1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084

Factors of 5089

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

1, 7, 727, 5089

Least Common Multiple of 5084 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 5084 and 5089, than apply into the LCM equation.

GCF(5084,5089) = 1
LCM(5084,5089) = ( 5084 × 5089) / 1
LCM(5084,5089) = 25872476 / 1
LCM(5084,5089) = 25872476

Properties of LCM 5084 and 5089

(i) The LCM of 5089 and 5084 is associative

LCM of 5084 and 5089 = LCM of 5089 and 5084

Related Least Common Multiples of 5084

Related Least Common Multiples of 5089

Frequently Asked Questions on LCM of 5084 and 5089

1. What is the LCM of 5084 and 5089?

Answer: LCM of 5084 and 5089 is 25872476.

2. What are the Factors of 5084?

Answer: Factors of 5084 are 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084. There are 12 integers that are factors of 5084. The greatest factor of 5084 is 5084.

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 5084 and 5089?

Answer:

Least Common Multiple of 5084 and 5089 = 25872476

Step 1: Find the prime factorization of 5084

5084 = 2 x 2 x 31 x 41

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 = 25872476 = 2 x 2 x 7 x 31 x 41 x 727

Step 4: Therefore, the least common multiple of 5084 and 5089 is 25872476.