Least Common Multiple of 320 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 320 and 324 the smallest integer that is 25920 that is divisible by both numbers.

Least Common Multiple (LCM) of 320 and 324 is 25920.

LCM(320,324) = 25920

LCM of 320 and 324

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

LCM of:
and

Least Common Multiple of 320 and 324

LCM of 320 and 324 is 25920

Least common multiple can be found by multiplying the highest exponent prime factors of 320 and 324. First we will calculate the prime factors of 320 and 324.

Prime Factorization of 320


2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 320 are 2,5. Prime factorization of 320 in exponential form is:

320 = 26×51

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 320 and 324.

LCM(320,324) = 26×34×51
LCM(320,324) = 25920

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 320 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 320 and 324, than apply into the LCM equation.

GCF(320,324) = 4
LCM(320,324) = ( 320 × 324) / 4
LCM(320,324) = 103680 / 4
LCM(320,324) = 25920

Properties of LCM 320 and 324

(i) The LCM of 324 and 320 is associative

LCM of 320 and 324 = LCM of 324 and 320

Related Least Common Multiples of 320

Related Least Common Multiples of 324

Frequently Asked Questions on LCM of 320 and 324

1. What is the LCM of 320 and 324?

Answer: LCM of 320 and 324 is 25920.

2. What are the Factors of 320?

Answer: Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320. There are 14 integers that are factors of 320. The greatest factor of 320 is 320.

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 320 and 324?

Answer:

Least Common Multiple of 320 and 324 = 25920

Step 1: Find the prime factorization of 320

320 = 2 x 2 x 2 x 2 x 2 x 2 x 5

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 = 25920 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5

Step 4: Therefore, the least common multiple of 320 and 324 is 25920.