Least Common Multiple of 9428 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 9428 and 9436 the smallest integer that is 22240652 that is divisible by both numbers.

Least Common Multiple (LCM) of 9428 and 9436 is 22240652.

LCM(9428,9436) = 22240652

LCM of 9428 and 9436

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

LCM of:
and

Least Common Multiple of 9428 and 9436

LCM of 9428 and 9436 is 22240652

Least common multiple can be found by multiplying the highest exponent prime factors of 9428 and 9436. First we will calculate the prime factors of 9428 and 9436.

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 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 9428 and 9436.

LCM(9428,9436) = 22×71×3371×23571
LCM(9428,9436) = 22240652

Factors of 9428

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

1, 2, 4, 2357, 4714, 9428

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 9428 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 9428 and 9436, than apply into the LCM equation.

GCF(9428,9436) = 4
LCM(9428,9436) = ( 9428 × 9436) / 4
LCM(9428,9436) = 88962608 / 4
LCM(9428,9436) = 22240652

Properties of LCM 9428 and 9436

(i) The LCM of 9436 and 9428 is associative

LCM of 9428 and 9436 = LCM of 9436 and 9428

Related Least Common Multiples of 9428

Related Least Common Multiples of 9436

Frequently Asked Questions on LCM of 9428 and 9436

1. What is the LCM of 9428 and 9436?

Answer: LCM of 9428 and 9436 is 22240652.

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 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 9428 and 9436?

Answer:

Least Common Multiple of 9428 and 9436 = 22240652

Step 1: Find the prime factorization of 9428

9428 = 2 x 2 x 2357

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 = 22240652 = 2 x 2 x 7 x 337 x 2357

Step 4: Therefore, the least common multiple of 9428 and 9436 is 22240652.