Least Common Multiple of 13323 and 13329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13323 and 13329 the smallest integer that is 59194089 that is divisible by both numbers.

Least Common Multiple (LCM) of 13323 and 13329 is 59194089.

LCM(13323,13329) = 59194089

LCM of 13323 and 13329

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

LCM of:
and

Least Common Multiple of 13323 and 13329

LCM of 13323 and 13329 is 59194089

Least common multiple can be found by multiplying the highest exponent prime factors of 13323 and 13329. First we will calculate the prime factors of 13323 and 13329.

Prime Factorization of 13323


3 13323
4441 4441
1

Prime factors of 13323 are 3,4441. Prime factorization of 13323 in exponential form is:

13323 = 31×44411

Prime Factorization of 13329


3 13329
3 4443
1481 1481
1

Prime factors of 13329 are 3,1481. Prime factorization of 13329 in exponential form is:

13329 = 32×14811

Now multiplying the highest exponent prime factors to calculate the LCM of 13323 and 13329.

LCM(13323,13329) = 32×14811×44411
LCM(13323,13329) = 59194089

Factors of 13323

List of positive integer factors of 13323 that divides 13323 without a remainder.

1, 3, 4441, 13323

Factors of 13329

List of positive integer factors of 13329 that divides 13329 without a remainder.

1, 3, 9, 1481, 4443, 13329

Least Common Multiple of 13323 and 13329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13323 and 13329, than apply into the LCM equation.

GCF(13323,13329) = 3
LCM(13323,13329) = ( 13323 × 13329) / 3
LCM(13323,13329) = 177582267 / 3
LCM(13323,13329) = 59194089

Properties of LCM 13323 and 13329

(i) The LCM of 13329 and 13323 is associative

LCM of 13323 and 13329 = LCM of 13329 and 13323

Related Least Common Multiples of 13323

Related Least Common Multiples of 13329

Frequently Asked Questions on LCM of 13323 and 13329

1. What is the LCM of 13323 and 13329?

Answer: LCM of 13323 and 13329 is 59194089.

2. What are the Factors of 13323?

Answer: Factors of 13323 are 1, 3, 4441, 13323. There are 4 integers that are factors of 13323. The greatest factor of 13323 is 13323.

3. What are the Factors of 13329?

Answer: Factors of 13329 are 1, 3, 9, 1481, 4443, 13329. There are 6 integers that are factors of 13329. The greatest factor of 13329 is 13329.

4. How to Find the LCM of 13323 and 13329?

Answer:

Least Common Multiple of 13323 and 13329 = 59194089

Step 1: Find the prime factorization of 13323

13323 = 3 x 4441

Step 2: Find the prime factorization of 13329

13329 = 3 x 3 x 1481

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

LCM = 59194089 = 3 x 3 x 1481 x 4441

Step 4: Therefore, the least common multiple of 13323 and 13329 is 59194089.