Least Common Multiple of 7581 and 7588

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 7588 the smallest integer that is 8217804 that is divisible by both numbers.

Least Common Multiple (LCM) of 7581 and 7588 is 8217804.

LCM(7581,7588) = 8217804

LCM of 7581 and 7588

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

LCM of:
and

Least Common Multiple of 7581 and 7588

LCM of 7581 and 7588 is 8217804

Least common multiple can be found by multiplying the highest exponent prime factors of 7581 and 7588. First we will calculate the prime factors of 7581 and 7588.

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 7588


2 7588
2 3794
7 1897
271 271
1

Prime factors of 7588 are 2, 7,271. Prime factorization of 7588 in exponential form is:

7588 = 22×71×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 7581 and 7588.

LCM(7581,7588) = 22×31×71×192×2711
LCM(7581,7588) = 8217804

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 7588

List of positive integer factors of 7588 that divides 7588 without a remainder.

1, 2, 4, 7, 14, 28, 271, 542, 1084, 1897, 3794, 7588

Least Common Multiple of 7581 and 7588 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 7588, than apply into the LCM equation.

GCF(7581,7588) = 7
LCM(7581,7588) = ( 7581 × 7588) / 7
LCM(7581,7588) = 57524628 / 7
LCM(7581,7588) = 8217804

Properties of LCM 7581 and 7588

(i) The LCM of 7588 and 7581 is associative

LCM of 7581 and 7588 = LCM of 7588 and 7581

Related Least Common Multiples of 7581

Related Least Common Multiples of 7588

Frequently Asked Questions on LCM of 7581 and 7588

1. What is the LCM of 7581 and 7588?

Answer: LCM of 7581 and 7588 is 8217804.

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 7588?

Answer: Factors of 7588 are 1, 2, 4, 7, 14, 28, 271, 542, 1084, 1897, 3794, 7588. There are 12 integers that are factors of 7588. The greatest factor of 7588 is 7588.

4. How to Find the LCM of 7581 and 7588?

Answer:

Least Common Multiple of 7581 and 7588 = 8217804

Step 1: Find the prime factorization of 7581

7581 = 3 x 7 x 19 x 19

Step 2: Find the prime factorization of 7588

7588 = 2 x 2 x 7 x 271

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

LCM = 8217804 = 2 x 2 x 3 x 7 x 19 x 19 x 271

Step 4: Therefore, the least common multiple of 7581 and 7588 is 8217804.