Least Common Multiple of 5089 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 5089 and 5093 the smallest integer that is 25918277 that is divisible by both numbers.

Least Common Multiple (LCM) of 5089 and 5093 is 25918277.

LCM(5089,5093) = 25918277

LCM of 5089 and 5093

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

LCM of:
and

Least Common Multiple of 5089 and 5093

LCM of 5089 and 5093 is 25918277

Least common multiple can be found by multiplying the highest exponent prime factors of 5089 and 5093. First we will calculate the prime factors of 5089 and 5093.

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

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 5089 and 5093.

LCM(5089,5093) = 71×111×4631×7271
LCM(5089,5093) = 25918277

Factors of 5089

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

1, 7, 727, 5089

Factors of 5093

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

1, 11, 463, 5093

Least Common Multiple of 5089 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 5089 and 5093, than apply into the LCM equation.

GCF(5089,5093) = 1
LCM(5089,5093) = ( 5089 × 5093) / 1
LCM(5089,5093) = 25918277 / 1
LCM(5089,5093) = 25918277

Properties of LCM 5089 and 5093

(i) The LCM of 5093 and 5089 is associative

LCM of 5089 and 5093 = LCM of 5093 and 5089

Related Least Common Multiples of 5089

Related Least Common Multiples of 5093

Frequently Asked Questions on LCM of 5089 and 5093

1. What is the LCM of 5089 and 5093?

Answer: LCM of 5089 and 5093 is 25918277.

2. 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.

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 5089 and 5093?

Answer:

Least Common Multiple of 5089 and 5093 = 25918277

Step 1: Find the prime factorization of 5089

5089 = 7 x 727

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 = 25918277 = 7 x 11 x 463 x 727

Step 4: Therefore, the least common multiple of 5089 and 5093 is 25918277.