Least Common Multiple of 2431 and 2436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2431 and 2436 the smallest integer that is 5921916 that is divisible by both numbers.

Least Common Multiple (LCM) of 2431 and 2436 is 5921916.

LCM(2431,2436) = 5921916

LCM of 2431 and 2436

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

LCM of:
and

Least Common Multiple of 2431 and 2436

LCM of 2431 and 2436 is 5921916

Least common multiple can be found by multiplying the highest exponent prime factors of 2431 and 2436. First we will calculate the prime factors of 2431 and 2436.

Prime Factorization of 2431


11 2431
13 221
17 17
1

Prime factors of 2431 are 11, 13,17. Prime factorization of 2431 in exponential form is:

2431 = 111×131×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2431 and 2436.

LCM(2431,2436) = 22×31×71×111×131×171×291
LCM(2431,2436) = 5921916

Factors of 2431

List of positive integer factors of 2431 that divides 2431 without a remainder.

1, 11, 13, 17, 143, 187, 221, 2431

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

Least Common Multiple of 2431 and 2436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2431 and 2436, than apply into the LCM equation.

GCF(2431,2436) = 1
LCM(2431,2436) = ( 2431 × 2436) / 1
LCM(2431,2436) = 5921916 / 1
LCM(2431,2436) = 5921916

Properties of LCM 2431 and 2436

(i) The LCM of 2436 and 2431 is associative

LCM of 2431 and 2436 = LCM of 2436 and 2431

Related Least Common Multiples of 2431

Related Least Common Multiples of 2436

Frequently Asked Questions on LCM of 2431 and 2436

1. What is the LCM of 2431 and 2436?

Answer: LCM of 2431 and 2436 is 5921916.

2. What are the Factors of 2431?

Answer: Factors of 2431 are 1, 11, 13, 17, 143, 187, 221, 2431. There are 8 integers that are factors of 2431. The greatest factor of 2431 is 2431.

3. 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.

4. How to Find the LCM of 2431 and 2436?

Answer:

Least Common Multiple of 2431 and 2436 = 5921916

Step 1: Find the prime factorization of 2431

2431 = 11 x 13 x 17

Step 2: Find the prime factorization of 2436

2436 = 2 x 2 x 3 x 7 x 29

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

LCM = 5921916 = 2 x 2 x 3 x 7 x 11 x 13 x 17 x 29

Step 4: Therefore, the least common multiple of 2431 and 2436 is 5921916.