Least Common Multiple of 9439 and 9444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9439 and 9444 the smallest integer that is 89141916 that is divisible by both numbers.

Least Common Multiple (LCM) of 9439 and 9444 is 89141916.

LCM(9439,9444) = 89141916

LCM of 9439 and 9444

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

LCM of:
and

Least Common Multiple of 9439 and 9444

LCM of 9439 and 9444 is 89141916

Least common multiple can be found by multiplying the highest exponent prime factors of 9439 and 9444. First we will calculate the prime factors of 9439 and 9444.

Prime Factorization of 9439


9439 9439
1

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

9439 = 94391

Prime Factorization of 9444


2 9444
2 4722
3 2361
787 787
1

Prime factors of 9444 are 2, 3,787. Prime factorization of 9444 in exponential form is:

9444 = 22×31×7871

Now multiplying the highest exponent prime factors to calculate the LCM of 9439 and 9444.

LCM(9439,9444) = 22×31×7871×94391
LCM(9439,9444) = 89141916

Factors of 9439

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

1, 9439

Factors of 9444

List of positive integer factors of 9444 that divides 9444 without a remainder.

1, 2, 3, 4, 6, 12, 787, 1574, 2361, 3148, 4722, 9444

Least Common Multiple of 9439 and 9444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9439 and 9444, than apply into the LCM equation.

GCF(9439,9444) = 1
LCM(9439,9444) = ( 9439 × 9444) / 1
LCM(9439,9444) = 89141916 / 1
LCM(9439,9444) = 89141916

Properties of LCM 9439 and 9444

(i) The LCM of 9444 and 9439 is associative

LCM of 9439 and 9444 = LCM of 9444 and 9439

Related Least Common Multiples of 9439

Related Least Common Multiples of 9444

Frequently Asked Questions on LCM of 9439 and 9444

1. What is the LCM of 9439 and 9444?

Answer: LCM of 9439 and 9444 is 89141916.

2. 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.

3. What are the Factors of 9444?

Answer: Factors of 9444 are 1, 2, 3, 4, 6, 12, 787, 1574, 2361, 3148, 4722, 9444. There are 12 integers that are factors of 9444. The greatest factor of 9444 is 9444.

4. How to Find the LCM of 9439 and 9444?

Answer:

Least Common Multiple of 9439 and 9444 = 89141916

Step 1: Find the prime factorization of 9439

9439 = 9439

Step 2: Find the prime factorization of 9444

9444 = 2 x 2 x 3 x 787

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

LCM = 89141916 = 2 x 2 x 3 x 787 x 9439

Step 4: Therefore, the least common multiple of 9439 and 9444 is 89141916.