Least Common Multiple of 13424 and 13431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13424 and 13431 the smallest integer that is 180297744 that is divisible by both numbers.

Least Common Multiple (LCM) of 13424 and 13431 is 180297744.

LCM(13424,13431) = 180297744

LCM of 13424 and 13431

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

LCM of:
and

Least Common Multiple of 13424 and 13431

LCM of 13424 and 13431 is 180297744

Least common multiple can be found by multiplying the highest exponent prime factors of 13424 and 13431. First we will calculate the prime factors of 13424 and 13431.

Prime Factorization of 13424


2 13424
2 6712
2 3356
2 1678
839 839
1

Prime factors of 13424 are 2,839. Prime factorization of 13424 in exponential form is:

13424 = 24×8391

Prime Factorization of 13431


3 13431
11 4477
11 407
37 37
1

Prime factors of 13431 are 3, 11,37. Prime factorization of 13431 in exponential form is:

13431 = 31×112×371

Now multiplying the highest exponent prime factors to calculate the LCM of 13424 and 13431.

LCM(13424,13431) = 24×31×112×371×8391
LCM(13424,13431) = 180297744

Factors of 13424

List of positive integer factors of 13424 that divides 13424 without a remainder.

1, 2, 4, 8, 16, 839, 1678, 3356, 6712, 13424

Factors of 13431

List of positive integer factors of 13431 that divides 13431 without a remainder.

1, 3, 11, 33, 37, 111, 121, 363, 407, 1221, 4477, 13431

Least Common Multiple of 13424 and 13431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13424 and 13431, than apply into the LCM equation.

GCF(13424,13431) = 1
LCM(13424,13431) = ( 13424 × 13431) / 1
LCM(13424,13431) = 180297744 / 1
LCM(13424,13431) = 180297744

Properties of LCM 13424 and 13431

(i) The LCM of 13431 and 13424 is associative

LCM of 13424 and 13431 = LCM of 13431 and 13424

Related Least Common Multiples of 13424

Related Least Common Multiples of 13431

Frequently Asked Questions on LCM of 13424 and 13431

1. What is the LCM of 13424 and 13431?

Answer: LCM of 13424 and 13431 is 180297744.

2. What are the Factors of 13424?

Answer: Factors of 13424 are 1, 2, 4, 8, 16, 839, 1678, 3356, 6712, 13424. There are 10 integers that are factors of 13424. The greatest factor of 13424 is 13424.

3. What are the Factors of 13431?

Answer: Factors of 13431 are 1, 3, 11, 33, 37, 111, 121, 363, 407, 1221, 4477, 13431. There are 12 integers that are factors of 13431. The greatest factor of 13431 is 13431.

4. How to Find the LCM of 13424 and 13431?

Answer:

Least Common Multiple of 13424 and 13431 = 180297744

Step 1: Find the prime factorization of 13424

13424 = 2 x 2 x 2 x 2 x 839

Step 2: Find the prime factorization of 13431

13431 = 3 x 11 x 11 x 37

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

LCM = 180297744 = 2 x 2 x 2 x 2 x 3 x 11 x 11 x 37 x 839

Step 4: Therefore, the least common multiple of 13424 and 13431 is 180297744.