Least Common Multiple of 7580 and 7586

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 7586 the smallest integer that is 28750940 that is divisible by both numbers.

Least Common Multiple (LCM) of 7580 and 7586 is 28750940.

LCM(7580,7586) = 28750940

LCM of 7580 and 7586

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

LCM of:
and

Least Common Multiple of 7580 and 7586

LCM of 7580 and 7586 is 28750940

Least common multiple can be found by multiplying the highest exponent prime factors of 7580 and 7586. First we will calculate the prime factors of 7580 and 7586.

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 7586


2 7586
3793 3793
1

Prime factors of 7586 are 2,3793. Prime factorization of 7586 in exponential form is:

7586 = 21×37931

Now multiplying the highest exponent prime factors to calculate the LCM of 7580 and 7586.

LCM(7580,7586) = 22×51×3791×37931
LCM(7580,7586) = 28750940

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 7586

List of positive integer factors of 7586 that divides 7586 without a remainder.

1, 2, 3793, 7586

Least Common Multiple of 7580 and 7586 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 7586, than apply into the LCM equation.

GCF(7580,7586) = 2
LCM(7580,7586) = ( 7580 × 7586) / 2
LCM(7580,7586) = 57501880 / 2
LCM(7580,7586) = 28750940

Properties of LCM 7580 and 7586

(i) The LCM of 7586 and 7580 is associative

LCM of 7580 and 7586 = LCM of 7586 and 7580

Related Least Common Multiples of 7580

Related Least Common Multiples of 7586

Frequently Asked Questions on LCM of 7580 and 7586

1. What is the LCM of 7580 and 7586?

Answer: LCM of 7580 and 7586 is 28750940.

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 7586?

Answer: Factors of 7586 are 1, 2, 3793, 7586. There are 4 integers that are factors of 7586. The greatest factor of 7586 is 7586.

4. How to Find the LCM of 7580 and 7586?

Answer:

Least Common Multiple of 7580 and 7586 = 28750940

Step 1: Find the prime factorization of 7580

7580 = 2 x 2 x 5 x 379

Step 2: Find the prime factorization of 7586

7586 = 2 x 3793

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

LCM = 28750940 = 2 x 2 x 5 x 379 x 3793

Step 4: Therefore, the least common multiple of 7580 and 7586 is 28750940.