Least Common Multiple of 7585 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 7585 and 7590 the smallest integer that is 11514030 that is divisible by both numbers.

Least Common Multiple (LCM) of 7585 and 7590 is 11514030.

LCM(7585,7590) = 11514030

LCM of 7585 and 7590

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

LCM of:
and

Least Common Multiple of 7585 and 7590

LCM of 7585 and 7590 is 11514030

Least common multiple can be found by multiplying the highest exponent prime factors of 7585 and 7590. First we will calculate the prime factors of 7585 and 7590.

Prime Factorization of 7585


5 7585
37 1517
41 41
1

Prime factors of 7585 are 5, 37,41. Prime factorization of 7585 in exponential form is:

7585 = 51×371×411

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 7585 and 7590.

LCM(7585,7590) = 21×31×51×111×231×371×411
LCM(7585,7590) = 11514030

Factors of 7585

List of positive integer factors of 7585 that divides 7585 without a remainder.

1, 5, 37, 41, 185, 205, 1517, 7585

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 7585 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 7585 and 7590, than apply into the LCM equation.

GCF(7585,7590) = 5
LCM(7585,7590) = ( 7585 × 7590) / 5
LCM(7585,7590) = 57570150 / 5
LCM(7585,7590) = 11514030

Properties of LCM 7585 and 7590

(i) The LCM of 7590 and 7585 is associative

LCM of 7585 and 7590 = LCM of 7590 and 7585

Related Least Common Multiples of 7585

Related Least Common Multiples of 7590

Frequently Asked Questions on LCM of 7585 and 7590

1. What is the LCM of 7585 and 7590?

Answer: LCM of 7585 and 7590 is 11514030.

2. What are the Factors of 7585?

Answer: Factors of 7585 are 1, 5, 37, 41, 185, 205, 1517, 7585. There are 8 integers that are factors of 7585. The greatest factor of 7585 is 7585.

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 7585 and 7590?

Answer:

Least Common Multiple of 7585 and 7590 = 11514030

Step 1: Find the prime factorization of 7585

7585 = 5 x 37 x 41

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 = 11514030 = 2 x 3 x 5 x 11 x 23 x 37 x 41

Step 4: Therefore, the least common multiple of 7585 and 7590 is 11514030.