Least Common Multiple of 9432 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 9432 and 9436 the smallest integer that is 22250088 that is divisible by both numbers.

Least Common Multiple (LCM) of 9432 and 9436 is 22250088.

LCM(9432,9436) = 22250088

LCM of 9432 and 9436

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

LCM of:
and

Least Common Multiple of 9432 and 9436

LCM of 9432 and 9436 is 22250088

Least common multiple can be found by multiplying the highest exponent prime factors of 9432 and 9436. First we will calculate the prime factors of 9432 and 9436.

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

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 9432 and 9436.

LCM(9432,9436) = 23×32×71×1311×3371
LCM(9432,9436) = 22250088

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

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 9432 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 9432 and 9436, than apply into the LCM equation.

GCF(9432,9436) = 4
LCM(9432,9436) = ( 9432 × 9436) / 4
LCM(9432,9436) = 89000352 / 4
LCM(9432,9436) = 22250088

Properties of LCM 9432 and 9436

(i) The LCM of 9436 and 9432 is associative

LCM of 9432 and 9436 = LCM of 9436 and 9432

Related Least Common Multiples of 9432

Related Least Common Multiples of 9436

Frequently Asked Questions on LCM of 9432 and 9436

1. What is the LCM of 9432 and 9436?

Answer: LCM of 9432 and 9436 is 22250088.

2. 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.

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 9432 and 9436?

Answer:

Least Common Multiple of 9432 and 9436 = 22250088

Step 1: Find the prime factorization of 9432

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

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 = 22250088 = 2 x 2 x 2 x 3 x 3 x 7 x 131 x 337

Step 4: Therefore, the least common multiple of 9432 and 9436 is 22250088.