Least Common Multiple of 324 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 324 and 330 the smallest integer that is 17820 that is divisible by both numbers.

Least Common Multiple (LCM) of 324 and 330 is 17820.

LCM(324,330) = 17820

LCM of 324 and 330

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

LCM of:
and

Least Common Multiple of 324 and 330

LCM of 324 and 330 is 17820

Least common multiple can be found by multiplying the highest exponent prime factors of 324 and 330. First we will calculate the prime factors of 324 and 330.

Prime Factorization of 324


2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 324 are 2,3. Prime factorization of 324 in exponential form is:

324 = 22×34

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 324 and 330.

LCM(324,330) = 22×34×51×111
LCM(324,330) = 17820

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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 324 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 324 and 330, than apply into the LCM equation.

GCF(324,330) = 6
LCM(324,330) = ( 324 × 330) / 6
LCM(324,330) = 106920 / 6
LCM(324,330) = 17820

Properties of LCM 324 and 330

(i) The LCM of 330 and 324 is associative

LCM of 324 and 330 = LCM of 330 and 324

Related Least Common Multiples of 324

Related Least Common Multiples of 330

Frequently Asked Questions on LCM of 324 and 330

1. What is the LCM of 324 and 330?

Answer: LCM of 324 and 330 is 17820.

2. What are the Factors of 324?

Answer: Factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324. There are 15 integers that are factors of 324. The greatest factor of 324 is 324.

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 324 and 330?

Answer:

Least Common Multiple of 324 and 330 = 17820

Step 1: Find the prime factorization of 324

324 = 2 x 2 x 3 x 3 x 3 x 3

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 = 17820 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 11

Step 4: Therefore, the least common multiple of 324 and 330 is 17820.