Least Common Multiple of 7580 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 7580 and 7588 the smallest integer that is 14379260 that is divisible by both numbers.

Least Common Multiple (LCM) of 7580 and 7588 is 14379260.

LCM(7580,7588) = 14379260

LCM of 7580 and 7588

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

LCM of:
and

Least Common Multiple of 7580 and 7588

LCM of 7580 and 7588 is 14379260

Least common multiple can be found by multiplying the highest exponent prime factors of 7580 and 7588. First we will calculate the prime factors of 7580 and 7588.

Prime Factorization of 7580


2 7580
2 3790
5 1895
379 379
1

Prime factors of 7580 are 2, 5,379. Prime factorization of 7580 in exponential form is:

7580 = 22×51×3791

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 7580 and 7588.

LCM(7580,7588) = 22×51×71×2711×3791
LCM(7580,7588) = 14379260

Factors of 7580

List of positive integer factors of 7580 that divides 7580 without a remainder.

1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580

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 7580 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 7580 and 7588, than apply into the LCM equation.

GCF(7580,7588) = 4
LCM(7580,7588) = ( 7580 × 7588) / 4
LCM(7580,7588) = 57517040 / 4
LCM(7580,7588) = 14379260

Properties of LCM 7580 and 7588

(i) The LCM of 7588 and 7580 is associative

LCM of 7580 and 7588 = LCM of 7588 and 7580

Related Least Common Multiples of 7580

Related Least Common Multiples of 7588

Frequently Asked Questions on LCM of 7580 and 7588

1. What is the LCM of 7580 and 7588?

Answer: LCM of 7580 and 7588 is 14379260.

2. What are the Factors of 7580?

Answer: Factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580. There are 12 integers that are factors of 7580. The greatest factor of 7580 is 7580.

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 7580 and 7588?

Answer:

Least Common Multiple of 7580 and 7588 = 14379260

Step 1: Find the prime factorization of 7580

7580 = 2 x 2 x 5 x 379

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 = 14379260 = 2 x 2 x 5 x 7 x 271 x 379

Step 4: Therefore, the least common multiple of 7580 and 7588 is 14379260.