Least Common Multiple of 327 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 327 and 330 the smallest integer that is 35970 that is divisible by both numbers.

Least Common Multiple (LCM) of 327 and 330 is 35970.

LCM(327,330) = 35970

LCM of 327 and 330

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

LCM of:
and

Least Common Multiple of 327 and 330

LCM of 327 and 330 is 35970

Least common multiple can be found by multiplying the highest exponent prime factors of 327 and 330. First we will calculate the prime factors of 327 and 330.

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 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 327 and 330.

LCM(327,330) = 21×31×51×111×1091
LCM(327,330) = 35970

Factors of 327

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

1, 3, 109, 327

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 327 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 327 and 330, than apply into the LCM equation.

GCF(327,330) = 3
LCM(327,330) = ( 327 × 330) / 3
LCM(327,330) = 107910 / 3
LCM(327,330) = 35970

Properties of LCM 327 and 330

(i) The LCM of 330 and 327 is associative

LCM of 327 and 330 = LCM of 330 and 327

Related Least Common Multiples of 327

Related Least Common Multiples of 330

Frequently Asked Questions on LCM of 327 and 330

1. What is the LCM of 327 and 330?

Answer: LCM of 327 and 330 is 35970.

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 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 327 and 330?

Answer:

Least Common Multiple of 327 and 330 = 35970

Step 1: Find the prime factorization of 327

327 = 3 x 109

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 = 35970 = 2 x 3 x 5 x 11 x 109

Step 4: Therefore, the least common multiple of 327 and 330 is 35970.