Least Common Multiple of 324 and 327

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 327 the smallest integer that is 35316 that is divisible by both numbers.

Least Common Multiple (LCM) of 324 and 327 is 35316.

LCM(324,327) = 35316

LCM of 324 and 327

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

LCM of:
and

Least Common Multiple of 324 and 327

LCM of 324 and 327 is 35316

Least common multiple can be found by multiplying the highest exponent prime factors of 324 and 327. First we will calculate the prime factors of 324 and 327.

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 327


3 327
109 109
1

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

327 = 31×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 324 and 327.

LCM(324,327) = 22×34×1091
LCM(324,327) = 35316

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 327

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

1, 3, 109, 327

Least Common Multiple of 324 and 327 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 327, than apply into the LCM equation.

GCF(324,327) = 3
LCM(324,327) = ( 324 × 327) / 3
LCM(324,327) = 105948 / 3
LCM(324,327) = 35316

Properties of LCM 324 and 327

(i) The LCM of 327 and 324 is associative

LCM of 324 and 327 = LCM of 327 and 324

Related Least Common Multiples of 324

Related Least Common Multiples of 327

Frequently Asked Questions on LCM of 324 and 327

1. What is the LCM of 324 and 327?

Answer: LCM of 324 and 327 is 35316.

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 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.

4. How to Find the LCM of 324 and 327?

Answer:

Least Common Multiple of 324 and 327 = 35316

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 327

327 = 3 x 109

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

LCM = 35316 = 2 x 2 x 3 x 3 x 3 x 3 x 109

Step 4: Therefore, the least common multiple of 324 and 327 is 35316.