Least Common Multiple of 7600 and 7604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7600 and 7604 the smallest integer that is 14447600 that is divisible by both numbers.

Least Common Multiple (LCM) of 7600 and 7604 is 14447600.

LCM(7600,7604) = 14447600

LCM of 7600 and 7604

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

LCM of:
and

Least Common Multiple of 7600 and 7604

LCM of 7600 and 7604 is 14447600

Least common multiple can be found by multiplying the highest exponent prime factors of 7600 and 7604. First we will calculate the prime factors of 7600 and 7604.

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

Prime Factorization of 7604


2 7604
2 3802
1901 1901
1

Prime factors of 7604 are 2,1901. Prime factorization of 7604 in exponential form is:

7604 = 22×19011

Now multiplying the highest exponent prime factors to calculate the LCM of 7600 and 7604.

LCM(7600,7604) = 24×52×191×19011
LCM(7600,7604) = 14447600

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

Factors of 7604

List of positive integer factors of 7604 that divides 7604 without a remainder.

1, 2, 4, 1901, 3802, 7604

Least Common Multiple of 7600 and 7604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7600 and 7604, than apply into the LCM equation.

GCF(7600,7604) = 4
LCM(7600,7604) = ( 7600 × 7604) / 4
LCM(7600,7604) = 57790400 / 4
LCM(7600,7604) = 14447600

Properties of LCM 7600 and 7604

(i) The LCM of 7604 and 7600 is associative

LCM of 7600 and 7604 = LCM of 7604 and 7600

Related Least Common Multiples of 7600

Related Least Common Multiples of 7604

Frequently Asked Questions on LCM of 7600 and 7604

1. What is the LCM of 7600 and 7604?

Answer: LCM of 7600 and 7604 is 14447600.

2. 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.

3. What are the Factors of 7604?

Answer: Factors of 7604 are 1, 2, 4, 1901, 3802, 7604. There are 6 integers that are factors of 7604. The greatest factor of 7604 is 7604.

4. How to Find the LCM of 7600 and 7604?

Answer:

Least Common Multiple of 7600 and 7604 = 14447600

Step 1: Find the prime factorization of 7600

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

Step 2: Find the prime factorization of 7604

7604 = 2 x 2 x 1901

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

LCM = 14447600 = 2 x 2 x 2 x 2 x 5 x 5 x 19 x 1901

Step 4: Therefore, the least common multiple of 7600 and 7604 is 14447600.