Least Common Multiple of 2433 and 2439

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 2439 the smallest integer that is 1978029 that is divisible by both numbers.

Least Common Multiple (LCM) of 2433 and 2439 is 1978029.

LCM(2433,2439) = 1978029

LCM of 2433 and 2439

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

LCM of:
and

Least Common Multiple of 2433 and 2439

LCM of 2433 and 2439 is 1978029

Least common multiple can be found by multiplying the highest exponent prime factors of 2433 and 2439. First we will calculate the prime factors of 2433 and 2439.

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 2439


3 2439
3 813
271 271
1

Prime factors of 2439 are 3,271. Prime factorization of 2439 in exponential form is:

2439 = 32×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 2433 and 2439.

LCM(2433,2439) = 32×2711×8111
LCM(2433,2439) = 1978029

Factors of 2433

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

1, 3, 811, 2433

Factors of 2439

List of positive integer factors of 2439 that divides 2439 without a remainder.

1, 3, 9, 271, 813, 2439

Least Common Multiple of 2433 and 2439 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 2439, than apply into the LCM equation.

GCF(2433,2439) = 3
LCM(2433,2439) = ( 2433 × 2439) / 3
LCM(2433,2439) = 5934087 / 3
LCM(2433,2439) = 1978029

Properties of LCM 2433 and 2439

(i) The LCM of 2439 and 2433 is associative

LCM of 2433 and 2439 = LCM of 2439 and 2433

Related Least Common Multiples of 2433

Related Least Common Multiples of 2439

Frequently Asked Questions on LCM of 2433 and 2439

1. What is the LCM of 2433 and 2439?

Answer: LCM of 2433 and 2439 is 1978029.

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 2439?

Answer: Factors of 2439 are 1, 3, 9, 271, 813, 2439. There are 6 integers that are factors of 2439. The greatest factor of 2439 is 2439.

4. How to Find the LCM of 2433 and 2439?

Answer:

Least Common Multiple of 2433 and 2439 = 1978029

Step 1: Find the prime factorization of 2433

2433 = 3 x 811

Step 2: Find the prime factorization of 2439

2439 = 3 x 3 x 271

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

LCM = 1978029 = 3 x 3 x 271 x 811

Step 4: Therefore, the least common multiple of 2433 and 2439 is 1978029.