Least Common Multiple of 7588 and 7595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7588 and 7595 the smallest integer that is 8232980 that is divisible by both numbers.

Least Common Multiple (LCM) of 7588 and 7595 is 8232980.

LCM(7588,7595) = 8232980

LCM of 7588 and 7595

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

LCM of:
and

Least Common Multiple of 7588 and 7595

LCM of 7588 and 7595 is 8232980

Least common multiple can be found by multiplying the highest exponent prime factors of 7588 and 7595. First we will calculate the prime factors of 7588 and 7595.

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

Prime Factorization of 7595


5 7595
7 1519
7 217
31 31
1

Prime factors of 7595 are 5, 7,31. Prime factorization of 7595 in exponential form is:

7595 = 51×72×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7588 and 7595.

LCM(7588,7595) = 22×51×72×311×2711
LCM(7588,7595) = 8232980

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

Factors of 7595

List of positive integer factors of 7595 that divides 7595 without a remainder.

1, 5, 7, 31, 35, 49, 155, 217, 245, 1085, 1519, 7595

Least Common Multiple of 7588 and 7595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7588 and 7595, than apply into the LCM equation.

GCF(7588,7595) = 7
LCM(7588,7595) = ( 7588 × 7595) / 7
LCM(7588,7595) = 57630860 / 7
LCM(7588,7595) = 8232980

Properties of LCM 7588 and 7595

(i) The LCM of 7595 and 7588 is associative

LCM of 7588 and 7595 = LCM of 7595 and 7588

Related Least Common Multiples of 7588

Related Least Common Multiples of 7595

Frequently Asked Questions on LCM of 7588 and 7595

1. What is the LCM of 7588 and 7595?

Answer: LCM of 7588 and 7595 is 8232980.

2. 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.

3. What are the Factors of 7595?

Answer: Factors of 7595 are 1, 5, 7, 31, 35, 49, 155, 217, 245, 1085, 1519, 7595. There are 12 integers that are factors of 7595. The greatest factor of 7595 is 7595.

4. How to Find the LCM of 7588 and 7595?

Answer:

Least Common Multiple of 7588 and 7595 = 8232980

Step 1: Find the prime factorization of 7588

7588 = 2 x 2 x 7 x 271

Step 2: Find the prime factorization of 7595

7595 = 5 x 7 x 7 x 31

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

LCM = 8232980 = 2 x 2 x 5 x 7 x 7 x 31 x 271

Step 4: Therefore, the least common multiple of 7588 and 7595 is 8232980.