Least Common Multiple of 7596 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 7596 and 7600 the smallest integer that is 14432400 that is divisible by both numbers.

Least Common Multiple (LCM) of 7596 and 7600 is 14432400.

LCM(7596,7600) = 14432400

LCM of 7596 and 7600

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

LCM of:
and

Least Common Multiple of 7596 and 7600

LCM of 7596 and 7600 is 14432400

Least common multiple can be found by multiplying the highest exponent prime factors of 7596 and 7600. First we will calculate the prime factors of 7596 and 7600.

Prime Factorization of 7596


2 7596
2 3798
3 1899
3 633
211 211
1

Prime factors of 7596 are 2, 3,211. Prime factorization of 7596 in exponential form is:

7596 = 22×32×2111

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 7596 and 7600.

LCM(7596,7600) = 24×32×52×191×2111
LCM(7596,7600) = 14432400

Factors of 7596

List of positive integer factors of 7596 that divides 7596 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 211, 422, 633, 844, 1266, 1899, 2532, 3798, 7596

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 7596 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 7596 and 7600, than apply into the LCM equation.

GCF(7596,7600) = 4
LCM(7596,7600) = ( 7596 × 7600) / 4
LCM(7596,7600) = 57729600 / 4
LCM(7596,7600) = 14432400

Properties of LCM 7596 and 7600

(i) The LCM of 7600 and 7596 is associative

LCM of 7596 and 7600 = LCM of 7600 and 7596

Related Least Common Multiples of 7596

Related Least Common Multiples of 7600

Frequently Asked Questions on LCM of 7596 and 7600

1. What is the LCM of 7596 and 7600?

Answer: LCM of 7596 and 7600 is 14432400.

2. What are the Factors of 7596?

Answer: Factors of 7596 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 211, 422, 633, 844, 1266, 1899, 2532, 3798, 7596. There are 18 integers that are factors of 7596. The greatest factor of 7596 is 7596.

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 7596 and 7600?

Answer:

Least Common Multiple of 7596 and 7600 = 14432400

Step 1: Find the prime factorization of 7596

7596 = 2 x 2 x 3 x 3 x 211

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 = 14432400 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 19 x 211

Step 4: Therefore, the least common multiple of 7596 and 7600 is 14432400.