Least Common Multiple of 9425 and 9433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9425 and 9433 the smallest integer that is 88906025 that is divisible by both numbers.

Least Common Multiple (LCM) of 9425 and 9433 is 88906025.

LCM(9425,9433) = 88906025

LCM of 9425 and 9433

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

LCM of:
and

Least Common Multiple of 9425 and 9433

LCM of 9425 and 9433 is 88906025

Least common multiple can be found by multiplying the highest exponent prime factors of 9425 and 9433. First we will calculate the prime factors of 9425 and 9433.

Prime Factorization of 9425


5 9425
5 1885
13 377
29 29
1

Prime factors of 9425 are 5, 13,29. Prime factorization of 9425 in exponential form is:

9425 = 52×131×291

Prime Factorization of 9433


9433 9433
1

Prime factors of 9433 are 9433. Prime factorization of 9433 in exponential form is:

9433 = 94331

Now multiplying the highest exponent prime factors to calculate the LCM of 9425 and 9433.

LCM(9425,9433) = 52×131×291×94331
LCM(9425,9433) = 88906025

Factors of 9425

List of positive integer factors of 9425 that divides 9425 without a remainder.

1, 5, 13, 25, 29, 65, 145, 325, 377, 725, 1885, 9425

Factors of 9433

List of positive integer factors of 9433 that divides 9433 without a remainder.

1, 9433

Least Common Multiple of 9425 and 9433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9425 and 9433, than apply into the LCM equation.

GCF(9425,9433) = 1
LCM(9425,9433) = ( 9425 × 9433) / 1
LCM(9425,9433) = 88906025 / 1
LCM(9425,9433) = 88906025

Properties of LCM 9425 and 9433

(i) The LCM of 9433 and 9425 is associative

LCM of 9425 and 9433 = LCM of 9433 and 9425

Related Least Common Multiples of 9425

Related Least Common Multiples of 9433

Frequently Asked Questions on LCM of 9425 and 9433

1. What is the LCM of 9425 and 9433?

Answer: LCM of 9425 and 9433 is 88906025.

2. What are the Factors of 9425?

Answer: Factors of 9425 are 1, 5, 13, 25, 29, 65, 145, 325, 377, 725, 1885, 9425. There are 12 integers that are factors of 9425. The greatest factor of 9425 is 9425.

3. What are the Factors of 9433?

Answer: Factors of 9433 are 1, 9433. There are 2 integers that are factors of 9433. The greatest factor of 9433 is 9433.

4. How to Find the LCM of 9425 and 9433?

Answer:

Least Common Multiple of 9425 and 9433 = 88906025

Step 1: Find the prime factorization of 9425

9425 = 5 x 5 x 13 x 29

Step 2: Find the prime factorization of 9433

9433 = 9433

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

LCM = 88906025 = 5 x 5 x 13 x 29 x 9433

Step 4: Therefore, the least common multiple of 9425 and 9433 is 88906025.