Least Common Multiple of 323 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 323 and 324 the smallest integer that is 104652 that is divisible by both numbers.

Least Common Multiple (LCM) of 323 and 324 is 104652.

LCM(323,324) = 104652

LCM of 323 and 324

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

LCM of:
and

Least Common Multiple of 323 and 324

LCM of 323 and 324 is 104652

Least common multiple can be found by multiplying the highest exponent prime factors of 323 and 324. First we will calculate the prime factors of 323 and 324.

Prime Factorization of 323


17 323
19 19
1

Prime factors of 323 are 17,19. Prime factorization of 323 in exponential form is:

323 = 171×191

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 323 and 324.

LCM(323,324) = 22×34×171×191
LCM(323,324) = 104652

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1, 17, 19, 323

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 323 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 323 and 324, than apply into the LCM equation.

GCF(323,324) = 1
LCM(323,324) = ( 323 × 324) / 1
LCM(323,324) = 104652 / 1
LCM(323,324) = 104652

Properties of LCM 323 and 324

(i) The LCM of 324 and 323 is associative

LCM of 323 and 324 = LCM of 324 and 323

Related Least Common Multiples of 323

Related Least Common Multiples of 324

Frequently Asked Questions on LCM of 323 and 324

1. What is the LCM of 323 and 324?

Answer: LCM of 323 and 324 is 104652.

2. What are the Factors of 323?

Answer: Factors of 323 are 1, 17, 19, 323. There are 4 integers that are factors of 323. The greatest factor of 323 is 323.

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 323 and 324?

Answer:

Least Common Multiple of 323 and 324 = 104652

Step 1: Find the prime factorization of 323

323 = 17 x 19

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 = 104652 = 2 x 2 x 3 x 3 x 3 x 3 x 17 x 19

Step 4: Therefore, the least common multiple of 323 and 324 is 104652.