Least Common Multiple of 7592 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 7592 and 7600 the smallest integer that is 7212400 that is divisible by both numbers.

Least Common Multiple (LCM) of 7592 and 7600 is 7212400.

LCM(7592,7600) = 7212400

LCM of 7592 and 7600

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

LCM of:
and

Least Common Multiple of 7592 and 7600

LCM of 7592 and 7600 is 7212400

Least common multiple can be found by multiplying the highest exponent prime factors of 7592 and 7600. First we will calculate the prime factors of 7592 and 7600.

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

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 7592 and 7600.

LCM(7592,7600) = 24×52×131×191×731
LCM(7592,7600) = 7212400

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

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 7592 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 7592 and 7600, than apply into the LCM equation.

GCF(7592,7600) = 8
LCM(7592,7600) = ( 7592 × 7600) / 8
LCM(7592,7600) = 57699200 / 8
LCM(7592,7600) = 7212400

Properties of LCM 7592 and 7600

(i) The LCM of 7600 and 7592 is associative

LCM of 7592 and 7600 = LCM of 7600 and 7592

Related Least Common Multiples of 7592

Related Least Common Multiples of 7600

Frequently Asked Questions on LCM of 7592 and 7600

1. What is the LCM of 7592 and 7600?

Answer: LCM of 7592 and 7600 is 7212400.

2. 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.

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 7592 and 7600?

Answer:

Least Common Multiple of 7592 and 7600 = 7212400

Step 1: Find the prime factorization of 7592

7592 = 2 x 2 x 2 x 13 x 73

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 = 7212400 = 2 x 2 x 2 x 2 x 5 x 5 x 13 x 19 x 73

Step 4: Therefore, the least common multiple of 7592 and 7600 is 7212400.