Least Common Multiple of 5084 and 5091

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 5091 the smallest integer that is 25882644 that is divisible by both numbers.

Least Common Multiple (LCM) of 5084 and 5091 is 25882644.

LCM(5084,5091) = 25882644

LCM of 5084 and 5091

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

LCM of:
and

Least Common Multiple of 5084 and 5091

LCM of 5084 and 5091 is 25882644

Least common multiple can be found by multiplying the highest exponent prime factors of 5084 and 5091. First we will calculate the prime factors of 5084 and 5091.

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 5091


3 5091
1697 1697
1

Prime factors of 5091 are 3,1697. Prime factorization of 5091 in exponential form is:

5091 = 31×16971

Now multiplying the highest exponent prime factors to calculate the LCM of 5084 and 5091.

LCM(5084,5091) = 22×31×311×411×16971
LCM(5084,5091) = 25882644

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 5091

List of positive integer factors of 5091 that divides 5091 without a remainder.

1, 3, 1697, 5091

Least Common Multiple of 5084 and 5091 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 5091, than apply into the LCM equation.

GCF(5084,5091) = 1
LCM(5084,5091) = ( 5084 × 5091) / 1
LCM(5084,5091) = 25882644 / 1
LCM(5084,5091) = 25882644

Properties of LCM 5084 and 5091

(i) The LCM of 5091 and 5084 is associative

LCM of 5084 and 5091 = LCM of 5091 and 5084

Related Least Common Multiples of 5084

Related Least Common Multiples of 5091

Frequently Asked Questions on LCM of 5084 and 5091

1. What is the LCM of 5084 and 5091?

Answer: LCM of 5084 and 5091 is 25882644.

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 5091?

Answer: Factors of 5091 are 1, 3, 1697, 5091. There are 4 integers that are factors of 5091. The greatest factor of 5091 is 5091.

4. How to Find the LCM of 5084 and 5091?

Answer:

Least Common Multiple of 5084 and 5091 = 25882644

Step 1: Find the prime factorization of 5084

5084 = 2 x 2 x 31 x 41

Step 2: Find the prime factorization of 5091

5091 = 3 x 1697

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

LCM = 25882644 = 2 x 2 x 3 x 31 x 41 x 1697

Step 4: Therefore, the least common multiple of 5084 and 5091 is 25882644.