Least Common Multiple of 328 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 328 and 330 the smallest integer that is 54120 that is divisible by both numbers.

Least Common Multiple (LCM) of 328 and 330 is 54120.

LCM(328,330) = 54120

LCM of 328 and 330

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

LCM of:
and

Least Common Multiple of 328 and 330

LCM of 328 and 330 is 54120

Least common multiple can be found by multiplying the highest exponent prime factors of 328 and 330. First we will calculate the prime factors of 328 and 330.

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

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 328 and 330.

LCM(328,330) = 23×31×51×111×411
LCM(328,330) = 54120

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

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 328 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 328 and 330, than apply into the LCM equation.

GCF(328,330) = 2
LCM(328,330) = ( 328 × 330) / 2
LCM(328,330) = 108240 / 2
LCM(328,330) = 54120

Properties of LCM 328 and 330

(i) The LCM of 330 and 328 is associative

LCM of 328 and 330 = LCM of 330 and 328

Related Least Common Multiples of 328

Related Least Common Multiples of 330

Frequently Asked Questions on LCM of 328 and 330

1. What is the LCM of 328 and 330?

Answer: LCM of 328 and 330 is 54120.

2. 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.

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 328 and 330?

Answer:

Least Common Multiple of 328 and 330 = 54120

Step 1: Find the prime factorization of 328

328 = 2 x 2 x 2 x 41

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 = 54120 = 2 x 2 x 2 x 3 x 5 x 11 x 41

Step 4: Therefore, the least common multiple of 328 and 330 is 54120.