Least Common Multiple of 5091 and 5093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5091 and 5093 the smallest integer that is 25928463 that is divisible by both numbers.

Least Common Multiple (LCM) of 5091 and 5093 is 25928463.

LCM(5091,5093) = 25928463

LCM of 5091 and 5093

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

LCM of:
and

Least Common Multiple of 5091 and 5093

LCM of 5091 and 5093 is 25928463

Least common multiple can be found by multiplying the highest exponent prime factors of 5091 and 5093. First we will calculate the prime factors of 5091 and 5093.

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

Prime Factorization of 5093


11 5093
463 463
1

Prime factors of 5093 are 11,463. Prime factorization of 5093 in exponential form is:

5093 = 111×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 5091 and 5093.

LCM(5091,5093) = 31×111×4631×16971
LCM(5091,5093) = 25928463

Factors of 5091

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

1, 3, 1697, 5091

Factors of 5093

List of positive integer factors of 5093 that divides 5093 without a remainder.

1, 11, 463, 5093

Least Common Multiple of 5091 and 5093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5091 and 5093, than apply into the LCM equation.

GCF(5091,5093) = 1
LCM(5091,5093) = ( 5091 × 5093) / 1
LCM(5091,5093) = 25928463 / 1
LCM(5091,5093) = 25928463

Properties of LCM 5091 and 5093

(i) The LCM of 5093 and 5091 is associative

LCM of 5091 and 5093 = LCM of 5093 and 5091

Related Least Common Multiples of 5091

Related Least Common Multiples of 5093

Frequently Asked Questions on LCM of 5091 and 5093

1. What is the LCM of 5091 and 5093?

Answer: LCM of 5091 and 5093 is 25928463.

2. 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.

3. What are the Factors of 5093?

Answer: Factors of 5093 are 1, 11, 463, 5093. There are 4 integers that are factors of 5093. The greatest factor of 5093 is 5093.

4. How to Find the LCM of 5091 and 5093?

Answer:

Least Common Multiple of 5091 and 5093 = 25928463

Step 1: Find the prime factorization of 5091

5091 = 3 x 1697

Step 2: Find the prime factorization of 5093

5093 = 11 x 463

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

LCM = 25928463 = 3 x 11 x 463 x 1697

Step 4: Therefore, the least common multiple of 5091 and 5093 is 25928463.