Least Common Multiple of 327 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 327 and 333 the smallest integer that is 36297 that is divisible by both numbers.

Least Common Multiple (LCM) of 327 and 333 is 36297.

LCM(327,333) = 36297

LCM of 327 and 333

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

LCM of:
and

Least Common Multiple of 327 and 333

LCM of 327 and 333 is 36297

Least common multiple can be found by multiplying the highest exponent prime factors of 327 and 333. First we will calculate the prime factors of 327 and 333.

Prime Factorization of 327


3 327
109 109
1

Prime factors of 327 are 3,109. Prime factorization of 327 in exponential form is:

327 = 31×1091

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 327 and 333.

LCM(327,333) = 32×371×1091
LCM(327,333) = 36297

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1, 3, 109, 327

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 327 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 327 and 333, than apply into the LCM equation.

GCF(327,333) = 3
LCM(327,333) = ( 327 × 333) / 3
LCM(327,333) = 108891 / 3
LCM(327,333) = 36297

Properties of LCM 327 and 333

(i) The LCM of 333 and 327 is associative

LCM of 327 and 333 = LCM of 333 and 327

Related Least Common Multiples of 327

Related Least Common Multiples of 333

Frequently Asked Questions on LCM of 327 and 333

1. What is the LCM of 327 and 333?

Answer: LCM of 327 and 333 is 36297.

2. What are the Factors of 327?

Answer: Factors of 327 are 1, 3, 109, 327. There are 4 integers that are factors of 327. The greatest factor of 327 is 327.

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 327 and 333?

Answer:

Least Common Multiple of 327 and 333 = 36297

Step 1: Find the prime factorization of 327

327 = 3 x 109

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 = 36297 = 3 x 3 x 37 x 109

Step 4: Therefore, the least common multiple of 327 and 333 is 36297.