Least Common Multiple of 9423 and 9428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9423 and 9428 the smallest integer that is 88840044 that is divisible by both numbers.

Least Common Multiple (LCM) of 9423 and 9428 is 88840044.

LCM(9423,9428) = 88840044

LCM of 9423 and 9428

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

LCM of:
and

Least Common Multiple of 9423 and 9428

LCM of 9423 and 9428 is 88840044

Least common multiple can be found by multiplying the highest exponent prime factors of 9423 and 9428. First we will calculate the prime factors of 9423 and 9428.

Prime Factorization of 9423


3 9423
3 3141
3 1047
349 349
1

Prime factors of 9423 are 3,349. Prime factorization of 9423 in exponential form is:

9423 = 33×3491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9423 and 9428.

LCM(9423,9428) = 22×33×3491×23571
LCM(9423,9428) = 88840044

Factors of 9423

List of positive integer factors of 9423 that divides 9423 without a remainder.

1, 3, 9, 27, 349, 1047, 3141, 9423

Factors of 9428

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

1, 2, 4, 2357, 4714, 9428

Least Common Multiple of 9423 and 9428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9423 and 9428, than apply into the LCM equation.

GCF(9423,9428) = 1
LCM(9423,9428) = ( 9423 × 9428) / 1
LCM(9423,9428) = 88840044 / 1
LCM(9423,9428) = 88840044

Properties of LCM 9423 and 9428

(i) The LCM of 9428 and 9423 is associative

LCM of 9423 and 9428 = LCM of 9428 and 9423

Related Least Common Multiples of 9423

Related Least Common Multiples of 9428

Frequently Asked Questions on LCM of 9423 and 9428

1. What is the LCM of 9423 and 9428?

Answer: LCM of 9423 and 9428 is 88840044.

2. What are the Factors of 9423?

Answer: Factors of 9423 are 1, 3, 9, 27, 349, 1047, 3141, 9423. There are 8 integers that are factors of 9423. The greatest factor of 9423 is 9423.

3. 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.

4. How to Find the LCM of 9423 and 9428?

Answer:

Least Common Multiple of 9423 and 9428 = 88840044

Step 1: Find the prime factorization of 9423

9423 = 3 x 3 x 3 x 349

Step 2: Find the prime factorization of 9428

9428 = 2 x 2 x 2357

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

LCM = 88840044 = 2 x 2 x 3 x 3 x 3 x 349 x 2357

Step 4: Therefore, the least common multiple of 9423 and 9428 is 88840044.