Least Common Multiple of 316 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 316 and 320 the smallest integer that is 25280 that is divisible by both numbers.

Least Common Multiple (LCM) of 316 and 320 is 25280.

LCM(316,320) = 25280

LCM of 316 and 320

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

LCM of:
and

Least Common Multiple of 316 and 320

LCM of 316 and 320 is 25280

Least common multiple can be found by multiplying the highest exponent prime factors of 316 and 320. First we will calculate the prime factors of 316 and 320.

Prime Factorization of 316


2 316
2 158
79 79
1

Prime factors of 316 are 2,79. Prime factorization of 316 in exponential form is:

316 = 22×791

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 316 and 320.

LCM(316,320) = 26×51×791
LCM(316,320) = 25280

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

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 316 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 316 and 320, than apply into the LCM equation.

GCF(316,320) = 4
LCM(316,320) = ( 316 × 320) / 4
LCM(316,320) = 101120 / 4
LCM(316,320) = 25280

Properties of LCM 316 and 320

(i) The LCM of 320 and 316 is associative

LCM of 316 and 320 = LCM of 320 and 316

Related Least Common Multiples of 316

Related Least Common Multiples of 320

Frequently Asked Questions on LCM of 316 and 320

1. What is the LCM of 316 and 320?

Answer: LCM of 316 and 320 is 25280.

2. What are the Factors of 316?

Answer: Factors of 316 are 1, 2, 4, 79, 158, 316. There are 6 integers that are factors of 316. The greatest factor of 316 is 316.

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 316 and 320?

Answer:

Least Common Multiple of 316 and 320 = 25280

Step 1: Find the prime factorization of 316

316 = 2 x 2 x 79

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 = 25280 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 79

Step 4: Therefore, the least common multiple of 316 and 320 is 25280.