Least Common Multiple of 9437 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 9437 and 9441 the smallest integer that is 89094717 that is divisible by both numbers.

Least Common Multiple (LCM) of 9437 and 9441 is 89094717.

LCM(9437,9441) = 89094717

LCM of 9437 and 9441

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

LCM of:
and

Least Common Multiple of 9437 and 9441

LCM of 9437 and 9441 is 89094717

Least common multiple can be found by multiplying the highest exponent prime factors of 9437 and 9441. First we will calculate the prime factors of 9437 and 9441.

Prime Factorization of 9437


9437 9437
1

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

9437 = 94371

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 9437 and 9441.

LCM(9437,9441) = 32×10491×94371
LCM(9437,9441) = 89094717

Factors of 9437

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

1, 9437

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 9437 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 9437 and 9441, than apply into the LCM equation.

GCF(9437,9441) = 1
LCM(9437,9441) = ( 9437 × 9441) / 1
LCM(9437,9441) = 89094717 / 1
LCM(9437,9441) = 89094717

Properties of LCM 9437 and 9441

(i) The LCM of 9441 and 9437 is associative

LCM of 9437 and 9441 = LCM of 9441 and 9437

Related Least Common Multiples of 9437

Related Least Common Multiples of 9441

Frequently Asked Questions on LCM of 9437 and 9441

1. What is the LCM of 9437 and 9441?

Answer: LCM of 9437 and 9441 is 89094717.

2. 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.

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 9437 and 9441?

Answer:

Least Common Multiple of 9437 and 9441 = 89094717

Step 1: Find the prime factorization of 9437

9437 = 9437

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 = 89094717 = 3 x 3 x 1049 x 9437

Step 4: Therefore, the least common multiple of 9437 and 9441 is 89094717.