Least Common Multiple of 321 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 321 and 328 the smallest integer that is 105288 that is divisible by both numbers.

Least Common Multiple (LCM) of 321 and 328 is 105288.

LCM(321,328) = 105288

LCM of 321 and 328

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

LCM of:
and

Least Common Multiple of 321 and 328

LCM of 321 and 328 is 105288

Least common multiple can be found by multiplying the highest exponent prime factors of 321 and 328. First we will calculate the prime factors of 321 and 328.

Prime Factorization of 321


3 321
107 107
1

Prime factors of 321 are 3,107. Prime factorization of 321 in exponential form is:

321 = 31×1071

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 321 and 328.

LCM(321,328) = 23×31×411×1071
LCM(321,328) = 105288

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1, 3, 107, 321

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 321 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 321 and 328, than apply into the LCM equation.

GCF(321,328) = 1
LCM(321,328) = ( 321 × 328) / 1
LCM(321,328) = 105288 / 1
LCM(321,328) = 105288

Properties of LCM 321 and 328

(i) The LCM of 328 and 321 is associative

LCM of 321 and 328 = LCM of 328 and 321

Related Least Common Multiples of 321

Related Least Common Multiples of 328

Frequently Asked Questions on LCM of 321 and 328

1. What is the LCM of 321 and 328?

Answer: LCM of 321 and 328 is 105288.

2. What are the Factors of 321?

Answer: Factors of 321 are 1, 3, 107, 321. There are 4 integers that are factors of 321. The greatest factor of 321 is 321.

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 321 and 328?

Answer:

Least Common Multiple of 321 and 328 = 105288

Step 1: Find the prime factorization of 321

321 = 3 x 107

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 = 105288 = 2 x 2 x 2 x 3 x 41 x 107

Step 4: Therefore, the least common multiple of 321 and 328 is 105288.