Least Common Multiple of 324 and 329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 324 and 329 the smallest integer that is 106596 that is divisible by both numbers.

Least Common Multiple (LCM) of 324 and 329 is 106596.

LCM(324,329) = 106596

LCM of 324 and 329

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

LCM of:
and

Least Common Multiple of 324 and 329

LCM of 324 and 329 is 106596

Least common multiple can be found by multiplying the highest exponent prime factors of 324 and 329. First we will calculate the prime factors of 324 and 329.

Prime Factorization of 324


2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 324 are 2,3. Prime factorization of 324 in exponential form is:

324 = 22×34

Prime Factorization of 329


7 329
47 47
1

Prime factors of 329 are 7,47. Prime factorization of 329 in exponential form is:

329 = 71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 324 and 329.

LCM(324,329) = 22×34×71×471
LCM(324,329) = 106596

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Least Common Multiple of 324 and 329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 324 and 329, than apply into the LCM equation.

GCF(324,329) = 1
LCM(324,329) = ( 324 × 329) / 1
LCM(324,329) = 106596 / 1
LCM(324,329) = 106596

Properties of LCM 324 and 329

(i) The LCM of 329 and 324 is associative

LCM of 324 and 329 = LCM of 329 and 324

Related Least Common Multiples of 324

Related Least Common Multiples of 329

Frequently Asked Questions on LCM of 324 and 329

1. What is the LCM of 324 and 329?

Answer: LCM of 324 and 329 is 106596.

2. What are the Factors of 324?

Answer: Factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324. There are 15 integers that are factors of 324. The greatest factor of 324 is 324.

3. What are the Factors of 329?

Answer: Factors of 329 are 1, 7, 47, 329. There are 4 integers that are factors of 329. The greatest factor of 329 is 329.

4. How to Find the LCM of 324 and 329?

Answer:

Least Common Multiple of 324 and 329 = 106596

Step 1: Find the prime factorization of 324

324 = 2 x 2 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 329

329 = 7 x 47

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

LCM = 106596 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 47

Step 4: Therefore, the least common multiple of 324 and 329 is 106596.