Least Common Multiple of 320 and 327

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 327 the smallest integer that is 104640 that is divisible by both numbers.

Least Common Multiple (LCM) of 320 and 327 is 104640.

LCM(320,327) = 104640

LCM of 320 and 327

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

LCM of:
and

Least Common Multiple of 320 and 327

LCM of 320 and 327 is 104640

Least common multiple can be found by multiplying the highest exponent prime factors of 320 and 327. First we will calculate the prime factors of 320 and 327.

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 327


3 327
109 109
1

Prime factors of 327 are 3,109. Prime factorization of 327 in exponential form is:

327 = 31×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 320 and 327.

LCM(320,327) = 26×31×51×1091
LCM(320,327) = 104640

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 327

List of positive integer factors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Least Common Multiple of 320 and 327 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 327, than apply into the LCM equation.

GCF(320,327) = 1
LCM(320,327) = ( 320 × 327) / 1
LCM(320,327) = 104640 / 1
LCM(320,327) = 104640

Properties of LCM 320 and 327

(i) The LCM of 327 and 320 is associative

LCM of 320 and 327 = LCM of 327 and 320

Related Least Common Multiples of 320

Related Least Common Multiples of 327

Frequently Asked Questions on LCM of 320 and 327

1. What is the LCM of 320 and 327?

Answer: LCM of 320 and 327 is 104640.

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 327?

Answer: Factors of 327 are 1, 3, 109, 327. There are 4 integers that are factors of 327. The greatest factor of 327 is 327.

4. How to Find the LCM of 320 and 327?

Answer:

Least Common Multiple of 320 and 327 = 104640

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 327

327 = 3 x 109

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

LCM = 104640 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 109

Step 4: Therefore, the least common multiple of 320 and 327 is 104640.