Least Common Multiple of 7589 and 7593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7589 and 7593 the smallest integer that is 57623277 that is divisible by both numbers.

Least Common Multiple (LCM) of 7589 and 7593 is 57623277.

LCM(7589,7593) = 57623277

LCM of 7589 and 7593

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

LCM of:
and

Least Common Multiple of 7589 and 7593

LCM of 7589 and 7593 is 57623277

Least common multiple can be found by multiplying the highest exponent prime factors of 7589 and 7593. First we will calculate the prime factors of 7589 and 7593.

Prime Factorization of 7589


7589 7589
1

Prime factors of 7589 are 7589. Prime factorization of 7589 in exponential form is:

7589 = 75891

Prime Factorization of 7593


3 7593
2531 2531
1

Prime factors of 7593 are 3,2531. Prime factorization of 7593 in exponential form is:

7593 = 31×25311

Now multiplying the highest exponent prime factors to calculate the LCM of 7589 and 7593.

LCM(7589,7593) = 31×25311×75891
LCM(7589,7593) = 57623277

Factors of 7589

List of positive integer factors of 7589 that divides 7589 without a remainder.

1, 7589

Factors of 7593

List of positive integer factors of 7593 that divides 7593 without a remainder.

1, 3, 2531, 7593

Least Common Multiple of 7589 and 7593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7589 and 7593, than apply into the LCM equation.

GCF(7589,7593) = 1
LCM(7589,7593) = ( 7589 × 7593) / 1
LCM(7589,7593) = 57623277 / 1
LCM(7589,7593) = 57623277

Properties of LCM 7589 and 7593

(i) The LCM of 7593 and 7589 is associative

LCM of 7589 and 7593 = LCM of 7593 and 7589

Related Least Common Multiples of 7589

Related Least Common Multiples of 7593

Frequently Asked Questions on LCM of 7589 and 7593

1. What is the LCM of 7589 and 7593?

Answer: LCM of 7589 and 7593 is 57623277.

2. What are the Factors of 7589?

Answer: Factors of 7589 are 1, 7589. There are 2 integers that are factors of 7589. The greatest factor of 7589 is 7589.

3. What are the Factors of 7593?

Answer: Factors of 7593 are 1, 3, 2531, 7593. There are 4 integers that are factors of 7593. The greatest factor of 7593 is 7593.

4. How to Find the LCM of 7589 and 7593?

Answer:

Least Common Multiple of 7589 and 7593 = 57623277

Step 1: Find the prime factorization of 7589

7589 = 7589

Step 2: Find the prime factorization of 7593

7593 = 3 x 2531

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

LCM = 57623277 = 3 x 2531 x 7589

Step 4: Therefore, the least common multiple of 7589 and 7593 is 57623277.