Least Common Multiple of 2436 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 2436 and 2439 the smallest integer that is 1980468 that is divisible by both numbers.

Least Common Multiple (LCM) of 2436 and 2439 is 1980468.

LCM(2436,2439) = 1980468

LCM of 2436 and 2439

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

LCM of:
and

Least Common Multiple of 2436 and 2439

LCM of 2436 and 2439 is 1980468

Least common multiple can be found by multiplying the highest exponent prime factors of 2436 and 2439. First we will calculate the prime factors of 2436 and 2439.

Prime Factorization of 2436


2 2436
2 1218
3 609
7 203
29 29
1

Prime factors of 2436 are 2, 3, 7,29. Prime factorization of 2436 in exponential form is:

2436 = 22×31×71×291

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 2436 and 2439.

LCM(2436,2439) = 22×32×71×291×2711
LCM(2436,2439) = 1980468

Factors of 2436

List of positive integer factors of 2436 that divides 2436 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436

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 2436 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 2436 and 2439, than apply into the LCM equation.

GCF(2436,2439) = 3
LCM(2436,2439) = ( 2436 × 2439) / 3
LCM(2436,2439) = 5941404 / 3
LCM(2436,2439) = 1980468

Properties of LCM 2436 and 2439

(i) The LCM of 2439 and 2436 is associative

LCM of 2436 and 2439 = LCM of 2439 and 2436

Related Least Common Multiples of 2436

Related Least Common Multiples of 2439

Frequently Asked Questions on LCM of 2436 and 2439

1. What is the LCM of 2436 and 2439?

Answer: LCM of 2436 and 2439 is 1980468.

2. What are the Factors of 2436?

Answer: Factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436. There are 24 integers that are factors of 2436. The greatest factor of 2436 is 2436.

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 2436 and 2439?

Answer:

Least Common Multiple of 2436 and 2439 = 1980468

Step 1: Find the prime factorization of 2436

2436 = 2 x 2 x 3 x 7 x 29

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 = 1980468 = 2 x 2 x 3 x 3 x 7 x 29 x 271

Step 4: Therefore, the least common multiple of 2436 and 2439 is 1980468.