Least Common Multiple of 7594 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 7594 and 7600 the smallest integer that is 28857200 that is divisible by both numbers.

Least Common Multiple (LCM) of 7594 and 7600 is 28857200.

LCM(7594,7600) = 28857200

LCM of 7594 and 7600

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

LCM of:
and

Least Common Multiple of 7594 and 7600

LCM of 7594 and 7600 is 28857200

Least common multiple can be found by multiplying the highest exponent prime factors of 7594 and 7600. First we will calculate the prime factors of 7594 and 7600.

Prime Factorization of 7594


2 7594
3797 3797
1

Prime factors of 7594 are 2,3797. Prime factorization of 7594 in exponential form is:

7594 = 21×37971

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 7594 and 7600.

LCM(7594,7600) = 24×52×191×37971
LCM(7594,7600) = 28857200

Factors of 7594

List of positive integer factors of 7594 that divides 7594 without a remainder.

1, 2, 3797, 7594

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 7594 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 7594 and 7600, than apply into the LCM equation.

GCF(7594,7600) = 2
LCM(7594,7600) = ( 7594 × 7600) / 2
LCM(7594,7600) = 57714400 / 2
LCM(7594,7600) = 28857200

Properties of LCM 7594 and 7600

(i) The LCM of 7600 and 7594 is associative

LCM of 7594 and 7600 = LCM of 7600 and 7594

Related Least Common Multiples of 7594

Related Least Common Multiples of 7600

Frequently Asked Questions on LCM of 7594 and 7600

1. What is the LCM of 7594 and 7600?

Answer: LCM of 7594 and 7600 is 28857200.

2. What are the Factors of 7594?

Answer: Factors of 7594 are 1, 2, 3797, 7594. There are 4 integers that are factors of 7594. The greatest factor of 7594 is 7594.

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 7594 and 7600?

Answer:

Least Common Multiple of 7594 and 7600 = 28857200

Step 1: Find the prime factorization of 7594

7594 = 2 x 3797

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 = 28857200 = 2 x 2 x 2 x 2 x 5 x 5 x 19 x 3797

Step 4: Therefore, the least common multiple of 7594 and 7600 is 28857200.