Least Common Multiple of 318 and 320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 318 and 320 the smallest integer that is 50880 that is divisible by both numbers.

Least Common Multiple (LCM) of 318 and 320 is 50880.

LCM(318,320) = 50880

LCM of 318 and 320

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

LCM of:
and

Least Common Multiple of 318 and 320

LCM of 318 and 320 is 50880

Least common multiple can be found by multiplying the highest exponent prime factors of 318 and 320. First we will calculate the prime factors of 318 and 320.

Prime Factorization of 318


2 318
3 159
53 53
1

Prime factors of 318 are 2, 3,53. Prime factorization of 318 in exponential form is:

318 = 21×31×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 318 and 320.

LCM(318,320) = 26×31×51×531
LCM(318,320) = 50880

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

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

Least Common Multiple of 318 and 320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 318 and 320, than apply into the LCM equation.

GCF(318,320) = 2
LCM(318,320) = ( 318 × 320) / 2
LCM(318,320) = 101760 / 2
LCM(318,320) = 50880

Properties of LCM 318 and 320

(i) The LCM of 320 and 318 is associative

LCM of 318 and 320 = LCM of 320 and 318

Related Least Common Multiples of 318

Related Least Common Multiples of 320

Frequently Asked Questions on LCM of 318 and 320

1. What is the LCM of 318 and 320?

Answer: LCM of 318 and 320 is 50880.

2. What are the Factors of 318?

Answer: Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318. There are 8 integers that are factors of 318. The greatest factor of 318 is 318.

3. 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.

4. How to Find the LCM of 318 and 320?

Answer:

Least Common Multiple of 318 and 320 = 50880

Step 1: Find the prime factorization of 318

318 = 2 x 3 x 53

Step 2: Find the prime factorization of 320

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

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

LCM = 50880 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 53

Step 4: Therefore, the least common multiple of 318 and 320 is 50880.