Least Common Multiple of 7588 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 7588 and 7594 the smallest integer that is 28811636 that is divisible by both numbers.

Least Common Multiple (LCM) of 7588 and 7594 is 28811636.

LCM(7588,7594) = 28811636

LCM of 7588 and 7594

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

LCM of:
and

Least Common Multiple of 7588 and 7594

LCM of 7588 and 7594 is 28811636

Least common multiple can be found by multiplying the highest exponent prime factors of 7588 and 7594. First we will calculate the prime factors of 7588 and 7594.

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

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 7588 and 7594.

LCM(7588,7594) = 22×71×2711×37971
LCM(7588,7594) = 28811636

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

Factors of 7594

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

1, 2, 3797, 7594

Least Common Multiple of 7588 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 7588 and 7594, than apply into the LCM equation.

GCF(7588,7594) = 2
LCM(7588,7594) = ( 7588 × 7594) / 2
LCM(7588,7594) = 57623272 / 2
LCM(7588,7594) = 28811636

Properties of LCM 7588 and 7594

(i) The LCM of 7594 and 7588 is associative

LCM of 7588 and 7594 = LCM of 7594 and 7588

Related Least Common Multiples of 7588

Related Least Common Multiples of 7594

Frequently Asked Questions on LCM of 7588 and 7594

1. What is the LCM of 7588 and 7594?

Answer: LCM of 7588 and 7594 is 28811636.

2. 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.

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 7588 and 7594?

Answer:

Least Common Multiple of 7588 and 7594 = 28811636

Step 1: Find the prime factorization of 7588

7588 = 2 x 2 x 7 x 271

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 = 28811636 = 2 x 2 x 7 x 271 x 3797

Step 4: Therefore, the least common multiple of 7588 and 7594 is 28811636.