Least Common Multiple of 7586 and 7590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7586 and 7590 the smallest integer that is 28788870 that is divisible by both numbers.

Least Common Multiple (LCM) of 7586 and 7590 is 28788870.

LCM(7586,7590) = 28788870

LCM of 7586 and 7590

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

LCM of:
and

Least Common Multiple of 7586 and 7590

LCM of 7586 and 7590 is 28788870

Least common multiple can be found by multiplying the highest exponent prime factors of 7586 and 7590. First we will calculate the prime factors of 7586 and 7590.

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

Prime Factorization of 7590


2 7590
3 3795
5 1265
11 253
23 23
1

Prime factors of 7590 are 2, 3, 5, 11,23. Prime factorization of 7590 in exponential form is:

7590 = 21×31×51×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7586 and 7590.

LCM(7586,7590) = 21×31×51×111×231×37931
LCM(7586,7590) = 28788870

Factors of 7586

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

1, 2, 3793, 7586

Factors of 7590

List of positive integer factors of 7590 that divides 7590 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590

Least Common Multiple of 7586 and 7590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7586 and 7590, than apply into the LCM equation.

GCF(7586,7590) = 2
LCM(7586,7590) = ( 7586 × 7590) / 2
LCM(7586,7590) = 57577740 / 2
LCM(7586,7590) = 28788870

Properties of LCM 7586 and 7590

(i) The LCM of 7590 and 7586 is associative

LCM of 7586 and 7590 = LCM of 7590 and 7586

Related Least Common Multiples of 7586

Related Least Common Multiples of 7590

Frequently Asked Questions on LCM of 7586 and 7590

1. What is the LCM of 7586 and 7590?

Answer: LCM of 7586 and 7590 is 28788870.

2. 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.

3. What are the Factors of 7590?

Answer: Factors of 7590 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590. There are 32 integers that are factors of 7590. The greatest factor of 7590 is 7590.

4. How to Find the LCM of 7586 and 7590?

Answer:

Least Common Multiple of 7586 and 7590 = 28788870

Step 1: Find the prime factorization of 7586

7586 = 2 x 3793

Step 2: Find the prime factorization of 7590

7590 = 2 x 3 x 5 x 11 x 23

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

LCM = 28788870 = 2 x 3 x 5 x 11 x 23 x 3793

Step 4: Therefore, the least common multiple of 7586 and 7590 is 28788870.