Least Common Multiple of 9428 and 9431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9428 and 9431 the smallest integer that is 88915468 that is divisible by both numbers.

Least Common Multiple (LCM) of 9428 and 9431 is 88915468.

LCM(9428,9431) = 88915468

LCM of 9428 and 9431

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

LCM of:
and

Least Common Multiple of 9428 and 9431

LCM of 9428 and 9431 is 88915468

Least common multiple can be found by multiplying the highest exponent prime factors of 9428 and 9431. First we will calculate the prime factors of 9428 and 9431.

Prime Factorization of 9428


2 9428
2 4714
2357 2357
1

Prime factors of 9428 are 2,2357. Prime factorization of 9428 in exponential form is:

9428 = 22×23571

Prime Factorization of 9431


9431 9431
1

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

9431 = 94311

Now multiplying the highest exponent prime factors to calculate the LCM of 9428 and 9431.

LCM(9428,9431) = 22×23571×94311
LCM(9428,9431) = 88915468

Factors of 9428

List of positive integer factors of 9428 that divides 9428 without a remainder.

1, 2, 4, 2357, 4714, 9428

Factors of 9431

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

1, 9431

Least Common Multiple of 9428 and 9431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9428 and 9431, than apply into the LCM equation.

GCF(9428,9431) = 1
LCM(9428,9431) = ( 9428 × 9431) / 1
LCM(9428,9431) = 88915468 / 1
LCM(9428,9431) = 88915468

Properties of LCM 9428 and 9431

(i) The LCM of 9431 and 9428 is associative

LCM of 9428 and 9431 = LCM of 9431 and 9428

Related Least Common Multiples of 9428

Related Least Common Multiples of 9431

Frequently Asked Questions on LCM of 9428 and 9431

1. What is the LCM of 9428 and 9431?

Answer: LCM of 9428 and 9431 is 88915468.

2. What are the Factors of 9428?

Answer: Factors of 9428 are 1, 2, 4, 2357, 4714, 9428. There are 6 integers that are factors of 9428. The greatest factor of 9428 is 9428.

3. 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.

4. How to Find the LCM of 9428 and 9431?

Answer:

Least Common Multiple of 9428 and 9431 = 88915468

Step 1: Find the prime factorization of 9428

9428 = 2 x 2 x 2357

Step 2: Find the prime factorization of 9431

9431 = 9431

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

LCM = 88915468 = 2 x 2 x 2357 x 9431

Step 4: Therefore, the least common multiple of 9428 and 9431 is 88915468.