Least Common Multiple of 327 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 327 and 328 the smallest integer that is 107256 that is divisible by both numbers.

Least Common Multiple (LCM) of 327 and 328 is 107256.

LCM(327,328) = 107256

LCM of 327 and 328

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

LCM of:
and

Least Common Multiple of 327 and 328

LCM of 327 and 328 is 107256

Least common multiple can be found by multiplying the highest exponent prime factors of 327 and 328. First we will calculate the prime factors of 327 and 328.

Prime Factorization of 327


3 327
109 109
1

Prime factors of 327 are 3,109. Prime factorization of 327 in exponential form is:

327 = 31×1091

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 327 and 328.

LCM(327,328) = 23×31×411×1091
LCM(327,328) = 107256

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1, 3, 109, 327

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 327 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 327 and 328, than apply into the LCM equation.

GCF(327,328) = 1
LCM(327,328) = ( 327 × 328) / 1
LCM(327,328) = 107256 / 1
LCM(327,328) = 107256

Properties of LCM 327 and 328

(i) The LCM of 328 and 327 is associative

LCM of 327 and 328 = LCM of 328 and 327

Related Least Common Multiples of 327

Related Least Common Multiples of 328

Frequently Asked Questions on LCM of 327 and 328

1. What is the LCM of 327 and 328?

Answer: LCM of 327 and 328 is 107256.

2. What are the Factors of 327?

Answer: Factors of 327 are 1, 3, 109, 327. There are 4 integers that are factors of 327. The greatest factor of 327 is 327.

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 327 and 328?

Answer:

Least Common Multiple of 327 and 328 = 107256

Step 1: Find the prime factorization of 327

327 = 3 x 109

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 = 107256 = 2 x 2 x 2 x 3 x 41 x 109

Step 4: Therefore, the least common multiple of 327 and 328 is 107256.