Least Common Multiple of 321 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 321 and 329 the smallest integer that is 105609 that is divisible by both numbers.

Least Common Multiple (LCM) of 321 and 329 is 105609.

LCM(321,329) = 105609

LCM of 321 and 329

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

LCM of:
and

Least Common Multiple of 321 and 329

LCM of 321 and 329 is 105609

Least common multiple can be found by multiplying the highest exponent prime factors of 321 and 329. First we will calculate the prime factors of 321 and 329.

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 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 321 and 329.

LCM(321,329) = 31×71×471×1071
LCM(321,329) = 105609

Factors of 321

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

1, 3, 107, 321

Factors of 329

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

1, 7, 47, 329

Least Common Multiple of 321 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 321 and 329, than apply into the LCM equation.

GCF(321,329) = 1
LCM(321,329) = ( 321 × 329) / 1
LCM(321,329) = 105609 / 1
LCM(321,329) = 105609

Properties of LCM 321 and 329

(i) The LCM of 329 and 321 is associative

LCM of 321 and 329 = LCM of 329 and 321

Related Least Common Multiples of 321

Related Least Common Multiples of 329

Frequently Asked Questions on LCM of 321 and 329

1. What is the LCM of 321 and 329?

Answer: LCM of 321 and 329 is 105609.

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 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 321 and 329?

Answer:

Least Common Multiple of 321 and 329 = 105609

Step 1: Find the prime factorization of 321

321 = 3 x 107

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 = 105609 = 3 x 7 x 47 x 107

Step 4: Therefore, the least common multiple of 321 and 329 is 105609.