Least Common Multiple of 316 and 318

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 318 the smallest integer that is 50244 that is divisible by both numbers.

Least Common Multiple (LCM) of 316 and 318 is 50244.

LCM(316,318) = 50244

LCM of 316 and 318

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

LCM of:
and

Least Common Multiple of 316 and 318

LCM of 316 and 318 is 50244

Least common multiple can be found by multiplying the highest exponent prime factors of 316 and 318. First we will calculate the prime factors of 316 and 318.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 316 and 318.

LCM(316,318) = 22×31×531×791
LCM(316,318) = 50244

Factors of 316

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

1, 2, 4, 79, 158, 316

Factors of 318

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

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

Least Common Multiple of 316 and 318 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 318, than apply into the LCM equation.

GCF(316,318) = 2
LCM(316,318) = ( 316 × 318) / 2
LCM(316,318) = 100488 / 2
LCM(316,318) = 50244

Properties of LCM 316 and 318

(i) The LCM of 318 and 316 is associative

LCM of 316 and 318 = LCM of 318 and 316

Related Least Common Multiples of 316

Related Least Common Multiples of 318

Frequently Asked Questions on LCM of 316 and 318

1. What is the LCM of 316 and 318?

Answer: LCM of 316 and 318 is 50244.

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 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.

4. How to Find the LCM of 316 and 318?

Answer:

Least Common Multiple of 316 and 318 = 50244

Step 1: Find the prime factorization of 316

316 = 2 x 2 x 79

Step 2: Find the prime factorization of 318

318 = 2 x 3 x 53

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

LCM = 50244 = 2 x 2 x 3 x 53 x 79

Step 4: Therefore, the least common multiple of 316 and 318 is 50244.