Least Common Multiple of 9431 and 9435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9431 and 9435 the smallest integer that is 88981485 that is divisible by both numbers.

Least Common Multiple (LCM) of 9431 and 9435 is 88981485.

LCM(9431,9435) = 88981485

LCM of 9431 and 9435

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

LCM of:
and

Least Common Multiple of 9431 and 9435

LCM of 9431 and 9435 is 88981485

Least common multiple can be found by multiplying the highest exponent prime factors of 9431 and 9435. First we will calculate the prime factors of 9431 and 9435.

Prime Factorization of 9431


9431 9431
1

Prime factors of 9431 are 9431. Prime factorization of 9431 in exponential form is:

9431 = 94311

Prime Factorization of 9435


3 9435
5 3145
17 629
37 37
1

Prime factors of 9435 are 3, 5, 17,37. Prime factorization of 9435 in exponential form is:

9435 = 31×51×171×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9431 and 9435.

LCM(9431,9435) = 31×51×171×371×94311
LCM(9431,9435) = 88981485

Factors of 9431

List of positive integer factors of 9431 that divides 9431 without a remainder.

1, 9431

Factors of 9435

List of positive integer factors of 9435 that divides 9435 without a remainder.

1, 3, 5, 15, 17, 37, 51, 85, 111, 185, 255, 555, 629, 1887, 3145, 9435

Least Common Multiple of 9431 and 9435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9431 and 9435, than apply into the LCM equation.

GCF(9431,9435) = 1
LCM(9431,9435) = ( 9431 × 9435) / 1
LCM(9431,9435) = 88981485 / 1
LCM(9431,9435) = 88981485

Properties of LCM 9431 and 9435

(i) The LCM of 9435 and 9431 is associative

LCM of 9431 and 9435 = LCM of 9435 and 9431

Related Least Common Multiples of 9431

Related Least Common Multiples of 9435

Frequently Asked Questions on LCM of 9431 and 9435

1. What is the LCM of 9431 and 9435?

Answer: LCM of 9431 and 9435 is 88981485.

2. What are the Factors of 9431?

Answer: Factors of 9431 are 1, 9431. There are 2 integers that are factors of 9431. The greatest factor of 9431 is 9431.

3. What are the Factors of 9435?

Answer: Factors of 9435 are 1, 3, 5, 15, 17, 37, 51, 85, 111, 185, 255, 555, 629, 1887, 3145, 9435. There are 16 integers that are factors of 9435. The greatest factor of 9435 is 9435.

4. How to Find the LCM of 9431 and 9435?

Answer:

Least Common Multiple of 9431 and 9435 = 88981485

Step 1: Find the prime factorization of 9431

9431 = 9431

Step 2: Find the prime factorization of 9435

9435 = 3 x 5 x 17 x 37

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

LCM = 88981485 = 3 x 5 x 17 x 37 x 9431

Step 4: Therefore, the least common multiple of 9431 and 9435 is 88981485.