Least Common Multiple of 318 and 324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 318 and 324 the smallest integer that is 17172 that is divisible by both numbers.

Least Common Multiple (LCM) of 318 and 324 is 17172.

LCM(318,324) = 17172

LCM of 318 and 324

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

LCM of:
and

Least Common Multiple of 318 and 324

LCM of 318 and 324 is 17172

Least common multiple can be found by multiplying the highest exponent prime factors of 318 and 324. First we will calculate the prime factors of 318 and 324.

Prime Factorization of 318


2 318
3 159
53 53
1

Prime factors of 318 are 2, 3,53. Prime factorization of 318 in exponential form is:

318 = 21×31×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 318 and 324.

LCM(318,324) = 22×34×531
LCM(318,324) = 17172

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

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

Least Common Multiple of 318 and 324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 318 and 324, than apply into the LCM equation.

GCF(318,324) = 6
LCM(318,324) = ( 318 × 324) / 6
LCM(318,324) = 103032 / 6
LCM(318,324) = 17172

Properties of LCM 318 and 324

(i) The LCM of 324 and 318 is associative

LCM of 318 and 324 = LCM of 324 and 318

Related Least Common Multiples of 318

Related Least Common Multiples of 324

Frequently Asked Questions on LCM of 318 and 324

1. What is the LCM of 318 and 324?

Answer: LCM of 318 and 324 is 17172.

2. What are the Factors of 318?

Answer: Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318. There are 8 integers that are factors of 318. The greatest factor of 318 is 318.

3. 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.

4. How to Find the LCM of 318 and 324?

Answer:

Least Common Multiple of 318 and 324 = 17172

Step 1: Find the prime factorization of 318

318 = 2 x 3 x 53

Step 2: Find the prime factorization of 324

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

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

LCM = 17172 = 2 x 2 x 3 x 3 x 3 x 3 x 53

Step 4: Therefore, the least common multiple of 318 and 324 is 17172.