Least Common Multiple of 323 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 323 and 328 the smallest integer that is 105944 that is divisible by both numbers.

Least Common Multiple (LCM) of 323 and 328 is 105944.

LCM(323,328) = 105944

LCM of 323 and 328

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

LCM of:
and

Least Common Multiple of 323 and 328

LCM of 323 and 328 is 105944

Least common multiple can be found by multiplying the highest exponent prime factors of 323 and 328. First we will calculate the prime factors of 323 and 328.

Prime Factorization of 323


17 323
19 19
1

Prime factors of 323 are 17,19. Prime factorization of 323 in exponential form is:

323 = 171×191

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 323 and 328.

LCM(323,328) = 23×171×191×411
LCM(323,328) = 105944

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1, 17, 19, 323

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 323 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 323 and 328, than apply into the LCM equation.

GCF(323,328) = 1
LCM(323,328) = ( 323 × 328) / 1
LCM(323,328) = 105944 / 1
LCM(323,328) = 105944

Properties of LCM 323 and 328

(i) The LCM of 328 and 323 is associative

LCM of 323 and 328 = LCM of 328 and 323

Related Least Common Multiples of 323

Related Least Common Multiples of 328

Frequently Asked Questions on LCM of 323 and 328

1. What is the LCM of 323 and 328?

Answer: LCM of 323 and 328 is 105944.

2. What are the Factors of 323?

Answer: Factors of 323 are 1, 17, 19, 323. There are 4 integers that are factors of 323. The greatest factor of 323 is 323.

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 323 and 328?

Answer:

Least Common Multiple of 323 and 328 = 105944

Step 1: Find the prime factorization of 323

323 = 17 x 19

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 = 105944 = 2 x 2 x 2 x 17 x 19 x 41

Step 4: Therefore, the least common multiple of 323 and 328 is 105944.