Least Common Multiple of 317 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 317 and 324 the smallest integer that is 102708 that is divisible by both numbers.

Least Common Multiple (LCM) of 317 and 324 is 102708.

LCM(317,324) = 102708

LCM of 317 and 324

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

LCM of:
and

Least Common Multiple of 317 and 324

LCM of 317 and 324 is 102708

Least common multiple can be found by multiplying the highest exponent prime factors of 317 and 324. First we will calculate the prime factors of 317 and 324.

Prime Factorization of 317


317 317
1

Prime factors of 317 are 317. Prime factorization of 317 in exponential form is:

317 = 3171

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 317 and 324.

LCM(317,324) = 22×34×3171
LCM(317,324) = 102708

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1, 317

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 317 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 317 and 324, than apply into the LCM equation.

GCF(317,324) = 1
LCM(317,324) = ( 317 × 324) / 1
LCM(317,324) = 102708 / 1
LCM(317,324) = 102708

Properties of LCM 317 and 324

(i) The LCM of 324 and 317 is associative

LCM of 317 and 324 = LCM of 324 and 317

Related Least Common Multiples of 317

Related Least Common Multiples of 324

Frequently Asked Questions on LCM of 317 and 324

1. What is the LCM of 317 and 324?

Answer: LCM of 317 and 324 is 102708.

2. What are the Factors of 317?

Answer: Factors of 317 are 1, 317. There are 2 integers that are factors of 317. The greatest factor of 317 is 317.

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 317 and 324?

Answer:

Least Common Multiple of 317 and 324 = 102708

Step 1: Find the prime factorization of 317

317 = 317

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 = 102708 = 2 x 2 x 3 x 3 x 3 x 3 x 317

Step 4: Therefore, the least common multiple of 317 and 324 is 102708.