Least Common Multiple of 328 and 333

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 333 the smallest integer that is 109224 that is divisible by both numbers.

Least Common Multiple (LCM) of 328 and 333 is 109224.

LCM(328,333) = 109224

LCM of 328 and 333

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

LCM of:
and

Least Common Multiple of 328 and 333

LCM of 328 and 333 is 109224

Least common multiple can be found by multiplying the highest exponent prime factors of 328 and 333. First we will calculate the prime factors of 328 and 333.

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 333


3 333
3 111
37 37
1

Prime factors of 333 are 3,37. Prime factorization of 333 in exponential form is:

333 = 32×371

Now multiplying the highest exponent prime factors to calculate the LCM of 328 and 333.

LCM(328,333) = 23×32×371×411
LCM(328,333) = 109224

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 333

List of positive integer factors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Least Common Multiple of 328 and 333 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 333, than apply into the LCM equation.

GCF(328,333) = 1
LCM(328,333) = ( 328 × 333) / 1
LCM(328,333) = 109224 / 1
LCM(328,333) = 109224

Properties of LCM 328 and 333

(i) The LCM of 333 and 328 is associative

LCM of 328 and 333 = LCM of 333 and 328

Related Least Common Multiples of 328

Related Least Common Multiples of 333

Frequently Asked Questions on LCM of 328 and 333

1. What is the LCM of 328 and 333?

Answer: LCM of 328 and 333 is 109224.

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 333?

Answer: Factors of 333 are 1, 3, 9, 37, 111, 333. There are 6 integers that are factors of 333. The greatest factor of 333 is 333.

4. How to Find the LCM of 328 and 333?

Answer:

Least Common Multiple of 328 and 333 = 109224

Step 1: Find the prime factorization of 328

328 = 2 x 2 x 2 x 41

Step 2: Find the prime factorization of 333

333 = 3 x 3 x 37

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

LCM = 109224 = 2 x 2 x 2 x 3 x 3 x 37 x 41

Step 4: Therefore, the least common multiple of 328 and 333 is 109224.