Least Common Multiple of 7585 and 7592

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 7592 the smallest integer that is 57585320 that is divisible by both numbers.

Least Common Multiple (LCM) of 7585 and 7592 is 57585320.

LCM(7585,7592) = 57585320

LCM of 7585 and 7592

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

LCM of:
and

Least Common Multiple of 7585 and 7592

LCM of 7585 and 7592 is 57585320

Least common multiple can be found by multiplying the highest exponent prime factors of 7585 and 7592. First we will calculate the prime factors of 7585 and 7592.

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 7592


2 7592
2 3796
2 1898
13 949
73 73
1

Prime factors of 7592 are 2, 13,73. Prime factorization of 7592 in exponential form is:

7592 = 23×131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 7585 and 7592.

LCM(7585,7592) = 23×51×131×371×411×731
LCM(7585,7592) = 57585320

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 7592

List of positive integer factors of 7592 that divides 7592 without a remainder.

1, 2, 4, 8, 13, 26, 52, 73, 104, 146, 292, 584, 949, 1898, 3796, 7592

Least Common Multiple of 7585 and 7592 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 7592, than apply into the LCM equation.

GCF(7585,7592) = 1
LCM(7585,7592) = ( 7585 × 7592) / 1
LCM(7585,7592) = 57585320 / 1
LCM(7585,7592) = 57585320

Properties of LCM 7585 and 7592

(i) The LCM of 7592 and 7585 is associative

LCM of 7585 and 7592 = LCM of 7592 and 7585

Related Least Common Multiples of 7585

Related Least Common Multiples of 7592

Frequently Asked Questions on LCM of 7585 and 7592

1. What is the LCM of 7585 and 7592?

Answer: LCM of 7585 and 7592 is 57585320.

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 7592?

Answer: Factors of 7592 are 1, 2, 4, 8, 13, 26, 52, 73, 104, 146, 292, 584, 949, 1898, 3796, 7592. There are 16 integers that are factors of 7592. The greatest factor of 7592 is 7592.

4. How to Find the LCM of 7585 and 7592?

Answer:

Least Common Multiple of 7585 and 7592 = 57585320

Step 1: Find the prime factorization of 7585

7585 = 5 x 37 x 41

Step 2: Find the prime factorization of 7592

7592 = 2 x 2 x 2 x 13 x 73

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

LCM = 57585320 = 2 x 2 x 2 x 5 x 13 x 37 x 41 x 73

Step 4: Therefore, the least common multiple of 7585 and 7592 is 57585320.