Least Common Multiple of 9428 and 9432

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 9432 the smallest integer that is 22231224 that is divisible by both numbers.

Least Common Multiple (LCM) of 9428 and 9432 is 22231224.

LCM(9428,9432) = 22231224

LCM of 9428 and 9432

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

LCM of:
and

Least Common Multiple of 9428 and 9432

LCM of 9428 and 9432 is 22231224

Least common multiple can be found by multiplying the highest exponent prime factors of 9428 and 9432. First we will calculate the prime factors of 9428 and 9432.

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 9432


2 9432
2 4716
2 2358
3 1179
3 393
131 131
1

Prime factors of 9432 are 2, 3,131. Prime factorization of 9432 in exponential form is:

9432 = 23×32×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 9428 and 9432.

LCM(9428,9432) = 23×32×1311×23571
LCM(9428,9432) = 22231224

Factors of 9428

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

1, 2, 4, 2357, 4714, 9428

Factors of 9432

List of positive integer factors of 9432 that divides 9432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716, 9432

Least Common Multiple of 9428 and 9432 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 9432, than apply into the LCM equation.

GCF(9428,9432) = 4
LCM(9428,9432) = ( 9428 × 9432) / 4
LCM(9428,9432) = 88924896 / 4
LCM(9428,9432) = 22231224

Properties of LCM 9428 and 9432

(i) The LCM of 9432 and 9428 is associative

LCM of 9428 and 9432 = LCM of 9432 and 9428

Related Least Common Multiples of 9428

Related Least Common Multiples of 9432

Frequently Asked Questions on LCM of 9428 and 9432

1. What is the LCM of 9428 and 9432?

Answer: LCM of 9428 and 9432 is 22231224.

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 9432?

Answer: Factors of 9432 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716, 9432. There are 24 integers that are factors of 9432. The greatest factor of 9432 is 9432.

4. How to Find the LCM of 9428 and 9432?

Answer:

Least Common Multiple of 9428 and 9432 = 22231224

Step 1: Find the prime factorization of 9428

9428 = 2 x 2 x 2357

Step 2: Find the prime factorization of 9432

9432 = 2 x 2 x 2 x 3 x 3 x 131

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

LCM = 22231224 = 2 x 2 x 2 x 3 x 3 x 131 x 2357

Step 4: Therefore, the least common multiple of 9428 and 9432 is 22231224.