Least Common Multiple of 2439 and 2447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2439 and 2447 the smallest integer that is 5968233 that is divisible by both numbers.

Least Common Multiple (LCM) of 2439 and 2447 is 5968233.

LCM(2439,2447) = 5968233

LCM of 2439 and 2447

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

LCM of:
and

Least Common Multiple of 2439 and 2447

LCM of 2439 and 2447 is 5968233

Least common multiple can be found by multiplying the highest exponent prime factors of 2439 and 2447. First we will calculate the prime factors of 2439 and 2447.

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

Prime Factorization of 2447


2447 2447
1

Prime factors of 2447 are 2447. Prime factorization of 2447 in exponential form is:

2447 = 24471

Now multiplying the highest exponent prime factors to calculate the LCM of 2439 and 2447.

LCM(2439,2447) = 32×2711×24471
LCM(2439,2447) = 5968233

Factors of 2439

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

1, 3, 9, 271, 813, 2439

Factors of 2447

List of positive integer factors of 2447 that divides 2447 without a remainder.

1, 2447

Least Common Multiple of 2439 and 2447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2439 and 2447, than apply into the LCM equation.

GCF(2439,2447) = 1
LCM(2439,2447) = ( 2439 × 2447) / 1
LCM(2439,2447) = 5968233 / 1
LCM(2439,2447) = 5968233

Properties of LCM 2439 and 2447

(i) The LCM of 2447 and 2439 is associative

LCM of 2439 and 2447 = LCM of 2447 and 2439

Related Least Common Multiples of 2439

Related Least Common Multiples of 2447

Frequently Asked Questions on LCM of 2439 and 2447

1. What is the LCM of 2439 and 2447?

Answer: LCM of 2439 and 2447 is 5968233.

2. 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.

3. What are the Factors of 2447?

Answer: Factors of 2447 are 1, 2447. There are 2 integers that are factors of 2447. The greatest factor of 2447 is 2447.

4. How to Find the LCM of 2439 and 2447?

Answer:

Least Common Multiple of 2439 and 2447 = 5968233

Step 1: Find the prime factorization of 2439

2439 = 3 x 3 x 271

Step 2: Find the prime factorization of 2447

2447 = 2447

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

LCM = 5968233 = 3 x 3 x 271 x 2447

Step 4: Therefore, the least common multiple of 2439 and 2447 is 5968233.