Least Common Multiple of 324 and 328

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 328 the smallest integer that is 26568 that is divisible by both numbers.

Least Common Multiple (LCM) of 324 and 328 is 26568.

LCM(324,328) = 26568

LCM of 324 and 328

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

LCM of:
and

Least Common Multiple of 324 and 328

LCM of 324 and 328 is 26568

Least common multiple can be found by multiplying the highest exponent prime factors of 324 and 328. First we will calculate the prime factors of 324 and 328.

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 328


2 328
2 164
2 82
41 41
1

Prime factors of 328 are 2,41. Prime factorization of 328 in exponential form is:

328 = 23×411

Now multiplying the highest exponent prime factors to calculate the LCM of 324 and 328.

LCM(324,328) = 23×34×411
LCM(324,328) = 26568

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 328

List of positive integer factors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Least Common Multiple of 324 and 328 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 328, than apply into the LCM equation.

GCF(324,328) = 4
LCM(324,328) = ( 324 × 328) / 4
LCM(324,328) = 106272 / 4
LCM(324,328) = 26568

Properties of LCM 324 and 328

(i) The LCM of 328 and 324 is associative

LCM of 324 and 328 = LCM of 328 and 324

Related Least Common Multiples of 324

Related Least Common Multiples of 328

Frequently Asked Questions on LCM of 324 and 328

1. What is the LCM of 324 and 328?

Answer: LCM of 324 and 328 is 26568.

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 328?

Answer: Factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328. There are 8 integers that are factors of 328. The greatest factor of 328 is 328.

4. How to Find the LCM of 324 and 328?

Answer:

Least Common Multiple of 324 and 328 = 26568

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 328

328 = 2 x 2 x 2 x 41

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

LCM = 26568 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 41

Step 4: Therefore, the least common multiple of 324 and 328 is 26568.