Least Common Multiple of 329 and 330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 329 and 330 the smallest integer that is 108570 that is divisible by both numbers.

Least Common Multiple (LCM) of 329 and 330 is 108570.

LCM(329,330) = 108570

LCM of 329 and 330

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

LCM of:
and

Least Common Multiple of 329 and 330

LCM of 329 and 330 is 108570

Least common multiple can be found by multiplying the highest exponent prime factors of 329 and 330. First we will calculate the prime factors of 329 and 330.

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

Prime Factorization of 330


2 330
3 165
5 55
11 11
1

Prime factors of 330 are 2, 3, 5,11. Prime factorization of 330 in exponential form is:

330 = 21×31×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 329 and 330.

LCM(329,330) = 21×31×51×71×111×471
LCM(329,330) = 108570

Factors of 329

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

1, 7, 47, 329

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Least Common Multiple of 329 and 330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 329 and 330, than apply into the LCM equation.

GCF(329,330) = 1
LCM(329,330) = ( 329 × 330) / 1
LCM(329,330) = 108570 / 1
LCM(329,330) = 108570

Properties of LCM 329 and 330

(i) The LCM of 330 and 329 is associative

LCM of 329 and 330 = LCM of 330 and 329

Related Least Common Multiples of 329

Related Least Common Multiples of 330

Frequently Asked Questions on LCM of 329 and 330

1. What is the LCM of 329 and 330?

Answer: LCM of 329 and 330 is 108570.

2. 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.

3. What are the Factors of 330?

Answer: Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. There are 16 integers that are factors of 330. The greatest factor of 330 is 330.

4. How to Find the LCM of 329 and 330?

Answer:

Least Common Multiple of 329 and 330 = 108570

Step 1: Find the prime factorization of 329

329 = 7 x 47

Step 2: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 108570 = 2 x 3 x 5 x 7 x 11 x 47

Step 4: Therefore, the least common multiple of 329 and 330 is 108570.