Least Common Multiple of 7595 and 7600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7595 and 7600 the smallest integer that is 11544400 that is divisible by both numbers.

Least Common Multiple (LCM) of 7595 and 7600 is 11544400.

LCM(7595,7600) = 11544400

LCM of 7595 and 7600

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

LCM of:
and

Least Common Multiple of 7595 and 7600

LCM of 7595 and 7600 is 11544400

Least common multiple can be found by multiplying the highest exponent prime factors of 7595 and 7600. First we will calculate the prime factors of 7595 and 7600.

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

Prime Factorization of 7600


2 7600
2 3800
2 1900
2 950
5 475
5 95
19 19
1

Prime factors of 7600 are 2, 5,19. Prime factorization of 7600 in exponential form is:

7600 = 24×52×191

Now multiplying the highest exponent prime factors to calculate the LCM of 7595 and 7600.

LCM(7595,7600) = 24×52×72×191×311
LCM(7595,7600) = 11544400

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

Factors of 7600

List of positive integer factors of 7600 that divides 7600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800, 7600

Least Common Multiple of 7595 and 7600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7595 and 7600, than apply into the LCM equation.

GCF(7595,7600) = 5
LCM(7595,7600) = ( 7595 × 7600) / 5
LCM(7595,7600) = 57722000 / 5
LCM(7595,7600) = 11544400

Properties of LCM 7595 and 7600

(i) The LCM of 7600 and 7595 is associative

LCM of 7595 and 7600 = LCM of 7600 and 7595

Related Least Common Multiples of 7595

Related Least Common Multiples of 7600

Frequently Asked Questions on LCM of 7595 and 7600

1. What is the LCM of 7595 and 7600?

Answer: LCM of 7595 and 7600 is 11544400.

2. 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.

3. What are the Factors of 7600?

Answer: Factors of 7600 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800, 7600. There are 30 integers that are factors of 7600. The greatest factor of 7600 is 7600.

4. How to Find the LCM of 7595 and 7600?

Answer:

Least Common Multiple of 7595 and 7600 = 11544400

Step 1: Find the prime factorization of 7595

7595 = 5 x 7 x 7 x 31

Step 2: Find the prime factorization of 7600

7600 = 2 x 2 x 2 x 2 x 5 x 5 x 19

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

LCM = 11544400 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 7 x 19 x 31

Step 4: Therefore, the least common multiple of 7595 and 7600 is 11544400.