Least Common Multiple of 2436 and 2444

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 2444 the smallest integer that is 1488396 that is divisible by both numbers.

Least Common Multiple (LCM) of 2436 and 2444 is 1488396.

LCM(2436,2444) = 1488396

LCM of 2436 and 2444

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

LCM of:
and

Least Common Multiple of 2436 and 2444

LCM of 2436 and 2444 is 1488396

Least common multiple can be found by multiplying the highest exponent prime factors of 2436 and 2444. First we will calculate the prime factors of 2436 and 2444.

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 2444


2 2444
2 1222
13 611
47 47
1

Prime factors of 2444 are 2, 13,47. Prime factorization of 2444 in exponential form is:

2444 = 22×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2436 and 2444.

LCM(2436,2444) = 22×31×71×131×291×471
LCM(2436,2444) = 1488396

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 2444

List of positive integer factors of 2444 that divides 2444 without a remainder.

1, 2, 4, 13, 26, 47, 52, 94, 188, 611, 1222, 2444

Least Common Multiple of 2436 and 2444 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 2444, than apply into the LCM equation.

GCF(2436,2444) = 4
LCM(2436,2444) = ( 2436 × 2444) / 4
LCM(2436,2444) = 5953584 / 4
LCM(2436,2444) = 1488396

Properties of LCM 2436 and 2444

(i) The LCM of 2444 and 2436 is associative

LCM of 2436 and 2444 = LCM of 2444 and 2436

Related Least Common Multiples of 2436

Related Least Common Multiples of 2444

Frequently Asked Questions on LCM of 2436 and 2444

1. What is the LCM of 2436 and 2444?

Answer: LCM of 2436 and 2444 is 1488396.

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 2444?

Answer: Factors of 2444 are 1, 2, 4, 13, 26, 47, 52, 94, 188, 611, 1222, 2444. There are 12 integers that are factors of 2444. The greatest factor of 2444 is 2444.

4. How to Find the LCM of 2436 and 2444?

Answer:

Least Common Multiple of 2436 and 2444 = 1488396

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 2444

2444 = 2 x 2 x 13 x 47

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

LCM = 1488396 = 2 x 2 x 3 x 7 x 13 x 29 x 47

Step 4: Therefore, the least common multiple of 2436 and 2444 is 1488396.