Least Common Multiple of 9432 and 9437

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 9437 the smallest integer that is 89009784 that is divisible by both numbers.

Least Common Multiple (LCM) of 9432 and 9437 is 89009784.

LCM(9432,9437) = 89009784

LCM of 9432 and 9437

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

LCM of:
and

Least Common Multiple of 9432 and 9437

LCM of 9432 and 9437 is 89009784

Least common multiple can be found by multiplying the highest exponent prime factors of 9432 and 9437. First we will calculate the prime factors of 9432 and 9437.

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 9437


9437 9437
1

Prime factors of 9437 are 9437. Prime factorization of 9437 in exponential form is:

9437 = 94371

Now multiplying the highest exponent prime factors to calculate the LCM of 9432 and 9437.

LCM(9432,9437) = 23×32×1311×94371
LCM(9432,9437) = 89009784

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 9437

List of positive integer factors of 9437 that divides 9437 without a remainder.

1, 9437

Least Common Multiple of 9432 and 9437 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 9437, than apply into the LCM equation.

GCF(9432,9437) = 1
LCM(9432,9437) = ( 9432 × 9437) / 1
LCM(9432,9437) = 89009784 / 1
LCM(9432,9437) = 89009784

Properties of LCM 9432 and 9437

(i) The LCM of 9437 and 9432 is associative

LCM of 9432 and 9437 = LCM of 9437 and 9432

Related Least Common Multiples of 9432

Related Least Common Multiples of 9437

Frequently Asked Questions on LCM of 9432 and 9437

1. What is the LCM of 9432 and 9437?

Answer: LCM of 9432 and 9437 is 89009784.

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 9437?

Answer: Factors of 9437 are 1, 9437. There are 2 integers that are factors of 9437. The greatest factor of 9437 is 9437.

4. How to Find the LCM of 9432 and 9437?

Answer:

Least Common Multiple of 9432 and 9437 = 89009784

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 9437

9437 = 9437

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

LCM = 89009784 = 2 x 2 x 2 x 3 x 3 x 131 x 9437

Step 4: Therefore, the least common multiple of 9432 and 9437 is 89009784.