Least Common Multiple of 7589 and 7594

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 7594 the smallest integer that is 57630866 that is divisible by both numbers.

Least Common Multiple (LCM) of 7589 and 7594 is 57630866.

LCM(7589,7594) = 57630866

LCM of 7589 and 7594

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

LCM of:
and

Least Common Multiple of 7589 and 7594

LCM of 7589 and 7594 is 57630866

Least common multiple can be found by multiplying the highest exponent prime factors of 7589 and 7594. First we will calculate the prime factors of 7589 and 7594.

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 7594


2 7594
3797 3797
1

Prime factors of 7594 are 2,3797. Prime factorization of 7594 in exponential form is:

7594 = 21×37971

Now multiplying the highest exponent prime factors to calculate the LCM of 7589 and 7594.

LCM(7589,7594) = 21×37971×75891
LCM(7589,7594) = 57630866

Factors of 7589

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

1, 7589

Factors of 7594

List of positive integer factors of 7594 that divides 7594 without a remainder.

1, 2, 3797, 7594

Least Common Multiple of 7589 and 7594 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 7594, than apply into the LCM equation.

GCF(7589,7594) = 1
LCM(7589,7594) = ( 7589 × 7594) / 1
LCM(7589,7594) = 57630866 / 1
LCM(7589,7594) = 57630866

Properties of LCM 7589 and 7594

(i) The LCM of 7594 and 7589 is associative

LCM of 7589 and 7594 = LCM of 7594 and 7589

Related Least Common Multiples of 7589

Related Least Common Multiples of 7594

Frequently Asked Questions on LCM of 7589 and 7594

1. What is the LCM of 7589 and 7594?

Answer: LCM of 7589 and 7594 is 57630866.

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 7594?

Answer: Factors of 7594 are 1, 2, 3797, 7594. There are 4 integers that are factors of 7594. The greatest factor of 7594 is 7594.

4. How to Find the LCM of 7589 and 7594?

Answer:

Least Common Multiple of 7589 and 7594 = 57630866

Step 1: Find the prime factorization of 7589

7589 = 7589

Step 2: Find the prime factorization of 7594

7594 = 2 x 3797

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

LCM = 57630866 = 2 x 3797 x 7589

Step 4: Therefore, the least common multiple of 7589 and 7594 is 57630866.