Least Common Multiple of 9439 and 9441

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 9441 the smallest integer that is 89113599 that is divisible by both numbers.

Least Common Multiple (LCM) of 9439 and 9441 is 89113599.

LCM(9439,9441) = 89113599

LCM of 9439 and 9441

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

LCM of:
and

Least Common Multiple of 9439 and 9441

LCM of 9439 and 9441 is 89113599

Least common multiple can be found by multiplying the highest exponent prime factors of 9439 and 9441. First we will calculate the prime factors of 9439 and 9441.

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 9441


3 9441
3 3147
1049 1049
1

Prime factors of 9441 are 3,1049. Prime factorization of 9441 in exponential form is:

9441 = 32×10491

Now multiplying the highest exponent prime factors to calculate the LCM of 9439 and 9441.

LCM(9439,9441) = 32×10491×94391
LCM(9439,9441) = 89113599

Factors of 9439

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

1, 9439

Factors of 9441

List of positive integer factors of 9441 that divides 9441 without a remainder.

1, 3, 9, 1049, 3147, 9441

Least Common Multiple of 9439 and 9441 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 9441, than apply into the LCM equation.

GCF(9439,9441) = 1
LCM(9439,9441) = ( 9439 × 9441) / 1
LCM(9439,9441) = 89113599 / 1
LCM(9439,9441) = 89113599

Properties of LCM 9439 and 9441

(i) The LCM of 9441 and 9439 is associative

LCM of 9439 and 9441 = LCM of 9441 and 9439

Related Least Common Multiples of 9439

Related Least Common Multiples of 9441

Frequently Asked Questions on LCM of 9439 and 9441

1. What is the LCM of 9439 and 9441?

Answer: LCM of 9439 and 9441 is 89113599.

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 9441?

Answer: Factors of 9441 are 1, 3, 9, 1049, 3147, 9441. There are 6 integers that are factors of 9441. The greatest factor of 9441 is 9441.

4. How to Find the LCM of 9439 and 9441?

Answer:

Least Common Multiple of 9439 and 9441 = 89113599

Step 1: Find the prime factorization of 9439

9439 = 9439

Step 2: Find the prime factorization of 9441

9441 = 3 x 3 x 1049

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

LCM = 89113599 = 3 x 3 x 1049 x 9439

Step 4: Therefore, the least common multiple of 9439 and 9441 is 89113599.