Least Common Multiple of 327 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 327 and 329 the smallest integer that is 107583 that is divisible by both numbers.

Least Common Multiple (LCM) of 327 and 329 is 107583.

LCM(327,329) = 107583

LCM of 327 and 329

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

LCM of:
and

Least Common Multiple of 327 and 329

LCM of 327 and 329 is 107583

Least common multiple can be found by multiplying the highest exponent prime factors of 327 and 329. First we will calculate the prime factors of 327 and 329.

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 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 327 and 329.

LCM(327,329) = 31×71×471×1091
LCM(327,329) = 107583

Factors of 327

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

1, 3, 109, 327

Factors of 329

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

1, 7, 47, 329

Least Common Multiple of 327 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 327 and 329, than apply into the LCM equation.

GCF(327,329) = 1
LCM(327,329) = ( 327 × 329) / 1
LCM(327,329) = 107583 / 1
LCM(327,329) = 107583

Properties of LCM 327 and 329

(i) The LCM of 329 and 327 is associative

LCM of 327 and 329 = LCM of 329 and 327

Related Least Common Multiples of 327

Related Least Common Multiples of 329

Frequently Asked Questions on LCM of 327 and 329

1. What is the LCM of 327 and 329?

Answer: LCM of 327 and 329 is 107583.

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 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 327 and 329?

Answer:

Least Common Multiple of 327 and 329 = 107583

Step 1: Find the prime factorization of 327

327 = 3 x 109

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 = 107583 = 3 x 7 x 47 x 109

Step 4: Therefore, the least common multiple of 327 and 329 is 107583.