Least Common Multiple of 7585 and 7589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7585 and 7589 the smallest integer that is 57562565 that is divisible by both numbers.

Least Common Multiple (LCM) of 7585 and 7589 is 57562565.

LCM(7585,7589) = 57562565

LCM of 7585 and 7589

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

LCM of:
and

Least Common Multiple of 7585 and 7589

LCM of 7585 and 7589 is 57562565

Least common multiple can be found by multiplying the highest exponent prime factors of 7585 and 7589. First we will calculate the prime factors of 7585 and 7589.

Prime Factorization of 7585


5 7585
37 1517
41 41
1

Prime factors of 7585 are 5, 37,41. Prime factorization of 7585 in exponential form is:

7585 = 51×371×411

Prime Factorization of 7589


7589 7589
1

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

7589 = 75891

Now multiplying the highest exponent prime factors to calculate the LCM of 7585 and 7589.

LCM(7585,7589) = 51×371×411×75891
LCM(7585,7589) = 57562565

Factors of 7585

List of positive integer factors of 7585 that divides 7585 without a remainder.

1, 5, 37, 41, 185, 205, 1517, 7585

Factors of 7589

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

1, 7589

Least Common Multiple of 7585 and 7589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7585 and 7589, than apply into the LCM equation.

GCF(7585,7589) = 1
LCM(7585,7589) = ( 7585 × 7589) / 1
LCM(7585,7589) = 57562565 / 1
LCM(7585,7589) = 57562565

Properties of LCM 7585 and 7589

(i) The LCM of 7589 and 7585 is associative

LCM of 7585 and 7589 = LCM of 7589 and 7585

Related Least Common Multiples of 7585

Related Least Common Multiples of 7589

Frequently Asked Questions on LCM of 7585 and 7589

1. What is the LCM of 7585 and 7589?

Answer: LCM of 7585 and 7589 is 57562565.

2. What are the Factors of 7585?

Answer: Factors of 7585 are 1, 5, 37, 41, 185, 205, 1517, 7585. There are 8 integers that are factors of 7585. The greatest factor of 7585 is 7585.

3. 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.

4. How to Find the LCM of 7585 and 7589?

Answer:

Least Common Multiple of 7585 and 7589 = 57562565

Step 1: Find the prime factorization of 7585

7585 = 5 x 37 x 41

Step 2: Find the prime factorization of 7589

7589 = 7589

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

LCM = 57562565 = 5 x 37 x 41 x 7589

Step 4: Therefore, the least common multiple of 7585 and 7589 is 57562565.