Least Common Multiple of 2433 and 2441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2433 and 2441 the smallest integer that is 5938953 that is divisible by both numbers.

Least Common Multiple (LCM) of 2433 and 2441 is 5938953.

LCM(2433,2441) = 5938953

LCM of 2433 and 2441

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

LCM of:
and

Least Common Multiple of 2433 and 2441

LCM of 2433 and 2441 is 5938953

Least common multiple can be found by multiplying the highest exponent prime factors of 2433 and 2441. First we will calculate the prime factors of 2433 and 2441.

Prime Factorization of 2433


3 2433
811 811
1

Prime factors of 2433 are 3,811. Prime factorization of 2433 in exponential form is:

2433 = 31×8111

Prime Factorization of 2441


2441 2441
1

Prime factors of 2441 are 2441. Prime factorization of 2441 in exponential form is:

2441 = 24411

Now multiplying the highest exponent prime factors to calculate the LCM of 2433 and 2441.

LCM(2433,2441) = 31×8111×24411
LCM(2433,2441) = 5938953

Factors of 2433

List of positive integer factors of 2433 that divides 2433 without a remainder.

1, 3, 811, 2433

Factors of 2441

List of positive integer factors of 2441 that divides 2441 without a remainder.

1, 2441

Least Common Multiple of 2433 and 2441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2433 and 2441, than apply into the LCM equation.

GCF(2433,2441) = 1
LCM(2433,2441) = ( 2433 × 2441) / 1
LCM(2433,2441) = 5938953 / 1
LCM(2433,2441) = 5938953

Properties of LCM 2433 and 2441

(i) The LCM of 2441 and 2433 is associative

LCM of 2433 and 2441 = LCM of 2441 and 2433

Related Least Common Multiples of 2433

Related Least Common Multiples of 2441

Frequently Asked Questions on LCM of 2433 and 2441

1. What is the LCM of 2433 and 2441?

Answer: LCM of 2433 and 2441 is 5938953.

2. What are the Factors of 2433?

Answer: Factors of 2433 are 1, 3, 811, 2433. There are 4 integers that are factors of 2433. The greatest factor of 2433 is 2433.

3. What are the Factors of 2441?

Answer: Factors of 2441 are 1, 2441. There are 2 integers that are factors of 2441. The greatest factor of 2441 is 2441.

4. How to Find the LCM of 2433 and 2441?

Answer:

Least Common Multiple of 2433 and 2441 = 5938953

Step 1: Find the prime factorization of 2433

2433 = 3 x 811

Step 2: Find the prime factorization of 2441

2441 = 2441

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

LCM = 5938953 = 3 x 811 x 2441

Step 4: Therefore, the least common multiple of 2433 and 2441 is 5938953.