Least Common Multiple of 9431 and 9436

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 9436 the smallest integer that is 88990916 that is divisible by both numbers.

Least Common Multiple (LCM) of 9431 and 9436 is 88990916.

LCM(9431,9436) = 88990916

LCM of 9431 and 9436

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

LCM of:
and

Least Common Multiple of 9431 and 9436

LCM of 9431 and 9436 is 88990916

Least common multiple can be found by multiplying the highest exponent prime factors of 9431 and 9436. First we will calculate the prime factors of 9431 and 9436.

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 9436


2 9436
2 4718
7 2359
337 337
1

Prime factors of 9436 are 2, 7,337. Prime factorization of 9436 in exponential form is:

9436 = 22×71×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 9431 and 9436.

LCM(9431,9436) = 22×71×3371×94311
LCM(9431,9436) = 88990916

Factors of 9431

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

1, 9431

Factors of 9436

List of positive integer factors of 9436 that divides 9436 without a remainder.

1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436

Least Common Multiple of 9431 and 9436 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 9436, than apply into the LCM equation.

GCF(9431,9436) = 1
LCM(9431,9436) = ( 9431 × 9436) / 1
LCM(9431,9436) = 88990916 / 1
LCM(9431,9436) = 88990916

Properties of LCM 9431 and 9436

(i) The LCM of 9436 and 9431 is associative

LCM of 9431 and 9436 = LCM of 9436 and 9431

Related Least Common Multiples of 9431

Related Least Common Multiples of 9436

Frequently Asked Questions on LCM of 9431 and 9436

1. What is the LCM of 9431 and 9436?

Answer: LCM of 9431 and 9436 is 88990916.

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 9436?

Answer: Factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436. There are 12 integers that are factors of 9436. The greatest factor of 9436 is 9436.

4. How to Find the LCM of 9431 and 9436?

Answer:

Least Common Multiple of 9431 and 9436 = 88990916

Step 1: Find the prime factorization of 9431

9431 = 9431

Step 2: Find the prime factorization of 9436

9436 = 2 x 2 x 7 x 337

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

LCM = 88990916 = 2 x 2 x 7 x 337 x 9431

Step 4: Therefore, the least common multiple of 9431 and 9436 is 88990916.