Least Common Multiple of 330 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 330 and 333 the smallest integer that is 36630 that is divisible by both numbers.

Least Common Multiple (LCM) of 330 and 333 is 36630.

LCM(330,333) = 36630

LCM of 330 and 333

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

LCM of:
and

Least Common Multiple of 330 and 333

LCM of 330 and 333 is 36630

Least common multiple can be found by multiplying the highest exponent prime factors of 330 and 333. First we will calculate the prime factors of 330 and 333.

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

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 330 and 333.

LCM(330,333) = 21×32×51×111×371
LCM(330,333) = 36630

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

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 330 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 330 and 333, than apply into the LCM equation.

GCF(330,333) = 3
LCM(330,333) = ( 330 × 333) / 3
LCM(330,333) = 109890 / 3
LCM(330,333) = 36630

Properties of LCM 330 and 333

(i) The LCM of 333 and 330 is associative

LCM of 330 and 333 = LCM of 333 and 330

Related Least Common Multiples of 330

Related Least Common Multiples of 333

Frequently Asked Questions on LCM of 330 and 333

1. What is the LCM of 330 and 333?

Answer: LCM of 330 and 333 is 36630.

2. 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.

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 330 and 333?

Answer:

Least Common Multiple of 330 and 333 = 36630

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

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 = 36630 = 2 x 3 x 3 x 5 x 11 x 37

Step 4: Therefore, the least common multiple of 330 and 333 is 36630.