Least Common Multiple of 7593 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 7593 and 7600 the smallest integer that is 57706800 that is divisible by both numbers.

Least Common Multiple (LCM) of 7593 and 7600 is 57706800.

LCM(7593,7600) = 57706800

LCM of 7593 and 7600

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

LCM of:
and

Least Common Multiple of 7593 and 7600

LCM of 7593 and 7600 is 57706800

Least common multiple can be found by multiplying the highest exponent prime factors of 7593 and 7600. First we will calculate the prime factors of 7593 and 7600.

Prime Factorization of 7593


3 7593
2531 2531
1

Prime factors of 7593 are 3,2531. Prime factorization of 7593 in exponential form is:

7593 = 31×25311

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 7593 and 7600.

LCM(7593,7600) = 24×31×52×191×25311
LCM(7593,7600) = 57706800

Factors of 7593

List of positive integer factors of 7593 that divides 7593 without a remainder.

1, 3, 2531, 7593

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 7593 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 7593 and 7600, than apply into the LCM equation.

GCF(7593,7600) = 1
LCM(7593,7600) = ( 7593 × 7600) / 1
LCM(7593,7600) = 57706800 / 1
LCM(7593,7600) = 57706800

Properties of LCM 7593 and 7600

(i) The LCM of 7600 and 7593 is associative

LCM of 7593 and 7600 = LCM of 7600 and 7593

Related Least Common Multiples of 7593

Related Least Common Multiples of 7600

Frequently Asked Questions on LCM of 7593 and 7600

1. What is the LCM of 7593 and 7600?

Answer: LCM of 7593 and 7600 is 57706800.

2. What are the Factors of 7593?

Answer: Factors of 7593 are 1, 3, 2531, 7593. There are 4 integers that are factors of 7593. The greatest factor of 7593 is 7593.

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 7593 and 7600?

Answer:

Least Common Multiple of 7593 and 7600 = 57706800

Step 1: Find the prime factorization of 7593

7593 = 3 x 2531

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 = 57706800 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 19 x 2531

Step 4: Therefore, the least common multiple of 7593 and 7600 is 57706800.