Least Common Multiple of 9432 and 9439

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 9439 the smallest integer that is 89028648 that is divisible by both numbers.

Least Common Multiple (LCM) of 9432 and 9439 is 89028648.

LCM(9432,9439) = 89028648

LCM of 9432 and 9439

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

LCM of:
and

Least Common Multiple of 9432 and 9439

LCM of 9432 and 9439 is 89028648

Least common multiple can be found by multiplying the highest exponent prime factors of 9432 and 9439. First we will calculate the prime factors of 9432 and 9439.

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 9439


9439 9439
1

Prime factors of 9439 are 9439. Prime factorization of 9439 in exponential form is:

9439 = 94391

Now multiplying the highest exponent prime factors to calculate the LCM of 9432 and 9439.

LCM(9432,9439) = 23×32×1311×94391
LCM(9432,9439) = 89028648

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 9439

List of positive integer factors of 9439 that divides 9439 without a remainder.

1, 9439

Least Common Multiple of 9432 and 9439 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 9439, than apply into the LCM equation.

GCF(9432,9439) = 1
LCM(9432,9439) = ( 9432 × 9439) / 1
LCM(9432,9439) = 89028648 / 1
LCM(9432,9439) = 89028648

Properties of LCM 9432 and 9439

(i) The LCM of 9439 and 9432 is associative

LCM of 9432 and 9439 = LCM of 9439 and 9432

Related Least Common Multiples of 9432

Related Least Common Multiples of 9439

Frequently Asked Questions on LCM of 9432 and 9439

1. What is the LCM of 9432 and 9439?

Answer: LCM of 9432 and 9439 is 89028648.

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 9439?

Answer: Factors of 9439 are 1, 9439. There are 2 integers that are factors of 9439. The greatest factor of 9439 is 9439.

4. How to Find the LCM of 9432 and 9439?

Answer:

Least Common Multiple of 9432 and 9439 = 89028648

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 9439

9439 = 9439

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

LCM = 89028648 = 2 x 2 x 2 x 3 x 3 x 131 x 9439

Step 4: Therefore, the least common multiple of 9432 and 9439 is 89028648.