Least Common Multiple of 7425 and 7431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7425 and 7431 the smallest integer that is 18391725 that is divisible by both numbers.

Least Common Multiple (LCM) of 7425 and 7431 is 18391725.

LCM(7425,7431) = 18391725

LCM of 7425 and 7431

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

LCM of:
and

Least Common Multiple of 7425 and 7431

LCM of 7425 and 7431 is 18391725

Least common multiple can be found by multiplying the highest exponent prime factors of 7425 and 7431. First we will calculate the prime factors of 7425 and 7431.

Prime Factorization of 7425


3 7425
3 2475
3 825
5 275
5 55
11 11
1

Prime factors of 7425 are 3, 5,11. Prime factorization of 7425 in exponential form is:

7425 = 33×52×111

Prime Factorization of 7431


3 7431
2477 2477
1

Prime factors of 7431 are 3,2477. Prime factorization of 7431 in exponential form is:

7431 = 31×24771

Now multiplying the highest exponent prime factors to calculate the LCM of 7425 and 7431.

LCM(7425,7431) = 33×52×111×24771
LCM(7425,7431) = 18391725

Factors of 7425

List of positive integer factors of 7425 that divides 7425 without a remainder.

1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425

Factors of 7431

List of positive integer factors of 7431 that divides 7431 without a remainder.

1, 3, 2477, 7431

Least Common Multiple of 7425 and 7431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7425 and 7431, than apply into the LCM equation.

GCF(7425,7431) = 3
LCM(7425,7431) = ( 7425 × 7431) / 3
LCM(7425,7431) = 55175175 / 3
LCM(7425,7431) = 18391725

Properties of LCM 7425 and 7431

(i) The LCM of 7431 and 7425 is associative

LCM of 7425 and 7431 = LCM of 7431 and 7425

Related Least Common Multiples of 7425

Related Least Common Multiples of 7431

Frequently Asked Questions on LCM of 7425 and 7431

1. What is the LCM of 7425 and 7431?

Answer: LCM of 7425 and 7431 is 18391725.

2. What are the Factors of 7425?

Answer: Factors of 7425 are 1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425. There are 24 integers that are factors of 7425. The greatest factor of 7425 is 7425.

3. What are the Factors of 7431?

Answer: Factors of 7431 are 1, 3, 2477, 7431. There are 4 integers that are factors of 7431. The greatest factor of 7431 is 7431.

4. How to Find the LCM of 7425 and 7431?

Answer:

Least Common Multiple of 7425 and 7431 = 18391725

Step 1: Find the prime factorization of 7425

7425 = 3 x 3 x 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 7431

7431 = 3 x 2477

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

LCM = 18391725 = 3 x 3 x 3 x 5 x 5 x 11 x 2477

Step 4: Therefore, the least common multiple of 7425 and 7431 is 18391725.