Least Common Multiple of 7581 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 7581 and 7589 the smallest integer that is 57532209 that is divisible by both numbers.

Least Common Multiple (LCM) of 7581 and 7589 is 57532209.

LCM(7581,7589) = 57532209

LCM of 7581 and 7589

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

LCM of:
and

Least Common Multiple of 7581 and 7589

LCM of 7581 and 7589 is 57532209

Least common multiple can be found by multiplying the highest exponent prime factors of 7581 and 7589. First we will calculate the prime factors of 7581 and 7589.

Prime Factorization of 7581


3 7581
7 2527
19 361
19 19
1

Prime factors of 7581 are 3, 7,19. Prime factorization of 7581 in exponential form is:

7581 = 31×71×192

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 7581 and 7589.

LCM(7581,7589) = 31×71×192×75891
LCM(7581,7589) = 57532209

Factors of 7581

List of positive integer factors of 7581 that divides 7581 without a remainder.

1, 3, 7, 19, 21, 57, 133, 361, 399, 1083, 2527, 7581

Factors of 7589

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

1, 7589

Least Common Multiple of 7581 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 7581 and 7589, than apply into the LCM equation.

GCF(7581,7589) = 1
LCM(7581,7589) = ( 7581 × 7589) / 1
LCM(7581,7589) = 57532209 / 1
LCM(7581,7589) = 57532209

Properties of LCM 7581 and 7589

(i) The LCM of 7589 and 7581 is associative

LCM of 7581 and 7589 = LCM of 7589 and 7581

Related Least Common Multiples of 7581

Related Least Common Multiples of 7589

Frequently Asked Questions on LCM of 7581 and 7589

1. What is the LCM of 7581 and 7589?

Answer: LCM of 7581 and 7589 is 57532209.

2. What are the Factors of 7581?

Answer: Factors of 7581 are 1, 3, 7, 19, 21, 57, 133, 361, 399, 1083, 2527, 7581. There are 12 integers that are factors of 7581. The greatest factor of 7581 is 7581.

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 7581 and 7589?

Answer:

Least Common Multiple of 7581 and 7589 = 57532209

Step 1: Find the prime factorization of 7581

7581 = 3 x 7 x 19 x 19

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 = 57532209 = 3 x 7 x 19 x 19 x 7589

Step 4: Therefore, the least common multiple of 7581 and 7589 is 57532209.