Least Common Multiple of 320 and 323

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 323 the smallest integer that is 103360 that is divisible by both numbers.

Least Common Multiple (LCM) of 320 and 323 is 103360.

LCM(320,323) = 103360

LCM of 320 and 323

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

LCM of:
and

Least Common Multiple of 320 and 323

LCM of 320 and 323 is 103360

Least common multiple can be found by multiplying the highest exponent prime factors of 320 and 323. First we will calculate the prime factors of 320 and 323.

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 323


17 323
19 19
1

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

323 = 171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 320 and 323.

LCM(320,323) = 26×51×171×191
LCM(320,323) = 103360

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 323

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

1, 17, 19, 323

Least Common Multiple of 320 and 323 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 323, than apply into the LCM equation.

GCF(320,323) = 1
LCM(320,323) = ( 320 × 323) / 1
LCM(320,323) = 103360 / 1
LCM(320,323) = 103360

Properties of LCM 320 and 323

(i) The LCM of 323 and 320 is associative

LCM of 320 and 323 = LCM of 323 and 320

Related Least Common Multiples of 320

Related Least Common Multiples of 323

Frequently Asked Questions on LCM of 320 and 323

1. What is the LCM of 320 and 323?

Answer: LCM of 320 and 323 is 103360.

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 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.

4. How to Find the LCM of 320 and 323?

Answer:

Least Common Multiple of 320 and 323 = 103360

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 323

323 = 17 x 19

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

LCM = 103360 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17 x 19

Step 4: Therefore, the least common multiple of 320 and 323 is 103360.