Least Common Multiple of 4324 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 4324 and 4329 the smallest integer that is 18718596 that is divisible by both numbers.

Least Common Multiple (LCM) of 4324 and 4329 is 18718596.

LCM(4324,4329) = 18718596

LCM of 4324 and 4329

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

LCM of:
and

Least Common Multiple of 4324 and 4329

LCM of 4324 and 4329 is 18718596

Least common multiple can be found by multiplying the highest exponent prime factors of 4324 and 4329. First we will calculate the prime factors of 4324 and 4329.

Prime Factorization of 4324


2 4324
2 2162
23 1081
47 47
1

Prime factors of 4324 are 2, 23,47. Prime factorization of 4324 in exponential form is:

4324 = 22×231×471

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 4324 and 4329.

LCM(4324,4329) = 22×32×131×231×371×471
LCM(4324,4329) = 18718596

Factors of 4324

List of positive integer factors of 4324 that divides 4324 without a remainder.

1, 2, 4, 23, 46, 47, 92, 94, 188, 1081, 2162, 4324

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 4324 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 4324 and 4329, than apply into the LCM equation.

GCF(4324,4329) = 1
LCM(4324,4329) = ( 4324 × 4329) / 1
LCM(4324,4329) = 18718596 / 1
LCM(4324,4329) = 18718596

Properties of LCM 4324 and 4329

(i) The LCM of 4329 and 4324 is associative

LCM of 4324 and 4329 = LCM of 4329 and 4324

Related Least Common Multiples of 4324

Related Least Common Multiples of 4329

Frequently Asked Questions on LCM of 4324 and 4329

1. What is the LCM of 4324 and 4329?

Answer: LCM of 4324 and 4329 is 18718596.

2. What are the Factors of 4324?

Answer: Factors of 4324 are 1, 2, 4, 23, 46, 47, 92, 94, 188, 1081, 2162, 4324. There are 12 integers that are factors of 4324. The greatest factor of 4324 is 4324.

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 4324 and 4329?

Answer:

Least Common Multiple of 4324 and 4329 = 18718596

Step 1: Find the prime factorization of 4324

4324 = 2 x 2 x 23 x 47

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 = 18718596 = 2 x 2 x 3 x 3 x 13 x 23 x 37 x 47

Step 4: Therefore, the least common multiple of 4324 and 4329 is 18718596.