Least Common Multiple of 7425 and 7432

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 7432 the smallest integer that is 55182600 that is divisible by both numbers.

Least Common Multiple (LCM) of 7425 and 7432 is 55182600.

LCM(7425,7432) = 55182600

LCM of 7425 and 7432

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

LCM of:
and

Least Common Multiple of 7425 and 7432

LCM of 7425 and 7432 is 55182600

Least common multiple can be found by multiplying the highest exponent prime factors of 7425 and 7432. First we will calculate the prime factors of 7425 and 7432.

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 7432


2 7432
2 3716
2 1858
929 929
1

Prime factors of 7432 are 2,929. Prime factorization of 7432 in exponential form is:

7432 = 23×9291

Now multiplying the highest exponent prime factors to calculate the LCM of 7425 and 7432.

LCM(7425,7432) = 23×33×52×111×9291
LCM(7425,7432) = 55182600

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 7432

List of positive integer factors of 7432 that divides 7432 without a remainder.

1, 2, 4, 8, 929, 1858, 3716, 7432

Least Common Multiple of 7425 and 7432 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 7432, than apply into the LCM equation.

GCF(7425,7432) = 1
LCM(7425,7432) = ( 7425 × 7432) / 1
LCM(7425,7432) = 55182600 / 1
LCM(7425,7432) = 55182600

Properties of LCM 7425 and 7432

(i) The LCM of 7432 and 7425 is associative

LCM of 7425 and 7432 = LCM of 7432 and 7425

Related Least Common Multiples of 7425

Related Least Common Multiples of 7432

Frequently Asked Questions on LCM of 7425 and 7432

1. What is the LCM of 7425 and 7432?

Answer: LCM of 7425 and 7432 is 55182600.

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 7432?

Answer: Factors of 7432 are 1, 2, 4, 8, 929, 1858, 3716, 7432. There are 8 integers that are factors of 7432. The greatest factor of 7432 is 7432.

4. How to Find the LCM of 7425 and 7432?

Answer:

Least Common Multiple of 7425 and 7432 = 55182600

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 7432

7432 = 2 x 2 x 2 x 929

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

LCM = 55182600 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 11 x 929

Step 4: Therefore, the least common multiple of 7425 and 7432 is 55182600.