Least Common Multiple of 9433 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 9433 and 9441 the smallest integer that is 89056953 that is divisible by both numbers.

Least Common Multiple (LCM) of 9433 and 9441 is 89056953.

LCM(9433,9441) = 89056953

LCM of 9433 and 9441

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

LCM of:
and

Least Common Multiple of 9433 and 9441

LCM of 9433 and 9441 is 89056953

Least common multiple can be found by multiplying the highest exponent prime factors of 9433 and 9441. First we will calculate the prime factors of 9433 and 9441.

Prime Factorization of 9433


9433 9433
1

Prime factors of 9433 are 9433. Prime factorization of 9433 in exponential form is:

9433 = 94331

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 9433 and 9441.

LCM(9433,9441) = 32×10491×94331
LCM(9433,9441) = 89056953

Factors of 9433

List of positive integer factors of 9433 that divides 9433 without a remainder.

1, 9433

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 9433 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 9433 and 9441, than apply into the LCM equation.

GCF(9433,9441) = 1
LCM(9433,9441) = ( 9433 × 9441) / 1
LCM(9433,9441) = 89056953 / 1
LCM(9433,9441) = 89056953

Properties of LCM 9433 and 9441

(i) The LCM of 9441 and 9433 is associative

LCM of 9433 and 9441 = LCM of 9441 and 9433

Related Least Common Multiples of 9433

Related Least Common Multiples of 9441

Frequently Asked Questions on LCM of 9433 and 9441

1. What is the LCM of 9433 and 9441?

Answer: LCM of 9433 and 9441 is 89056953.

2. What are the Factors of 9433?

Answer: Factors of 9433 are 1, 9433. There are 2 integers that are factors of 9433. The greatest factor of 9433 is 9433.

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 9433 and 9441?

Answer:

Least Common Multiple of 9433 and 9441 = 89056953

Step 1: Find the prime factorization of 9433

9433 = 9433

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 = 89056953 = 3 x 3 x 1049 x 9433

Step 4: Therefore, the least common multiple of 9433 and 9441 is 89056953.