Least Common Multiple of 4323 and 4329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4323 and 4329 the smallest integer that is 6238089 that is divisible by both numbers.

Least Common Multiple (LCM) of 4323 and 4329 is 6238089.

LCM(4323,4329) = 6238089

LCM of 4323 and 4329

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

LCM of:
and

Least Common Multiple of 4323 and 4329

LCM of 4323 and 4329 is 6238089

Least common multiple can be found by multiplying the highest exponent prime factors of 4323 and 4329. First we will calculate the prime factors of 4323 and 4329.

Prime Factorization of 4323


3 4323
11 1441
131 131
1

Prime factors of 4323 are 3, 11,131. Prime factorization of 4323 in exponential form is:

4323 = 31×111×1311

Prime Factorization of 4329


3 4329
3 1443
13 481
37 37
1

Prime factors of 4329 are 3, 13,37. Prime factorization of 4329 in exponential form is:

4329 = 32×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4323 and 4329.

LCM(4323,4329) = 32×111×131×371×1311
LCM(4323,4329) = 6238089

Factors of 4323

List of positive integer factors of 4323 that divides 4323 without a remainder.

1, 3, 11, 33, 131, 393, 1441, 4323

Factors of 4329

List of positive integer factors of 4329 that divides 4329 without a remainder.

1, 3, 9, 13, 37, 39, 111, 117, 333, 481, 1443, 4329

Least Common Multiple of 4323 and 4329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4323 and 4329, than apply into the LCM equation.

GCF(4323,4329) = 3
LCM(4323,4329) = ( 4323 × 4329) / 3
LCM(4323,4329) = 18714267 / 3
LCM(4323,4329) = 6238089

Properties of LCM 4323 and 4329

(i) The LCM of 4329 and 4323 is associative

LCM of 4323 and 4329 = LCM of 4329 and 4323

Related Least Common Multiples of 4323

Related Least Common Multiples of 4329

Frequently Asked Questions on LCM of 4323 and 4329

1. What is the LCM of 4323 and 4329?

Answer: LCM of 4323 and 4329 is 6238089.

2. What are the Factors of 4323?

Answer: Factors of 4323 are 1, 3, 11, 33, 131, 393, 1441, 4323. There are 8 integers that are factors of 4323. The greatest factor of 4323 is 4323.

3. What are the Factors of 4329?

Answer: Factors of 4329 are 1, 3, 9, 13, 37, 39, 111, 117, 333, 481, 1443, 4329. There are 12 integers that are factors of 4329. The greatest factor of 4329 is 4329.

4. How to Find the LCM of 4323 and 4329?

Answer:

Least Common Multiple of 4323 and 4329 = 6238089

Step 1: Find the prime factorization of 4323

4323 = 3 x 11 x 131

Step 2: Find the prime factorization of 4329

4329 = 3 x 3 x 13 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 = 6238089 = 3 x 3 x 11 x 13 x 37 x 131

Step 4: Therefore, the least common multiple of 4323 and 4329 is 6238089.