Least Common Multiple of 312 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 312 and 318 the smallest integer that is 16536 that is divisible by both numbers.

Least Common Multiple (LCM) of 312 and 318 is 16536.

LCM(312,318) = 16536

LCM of 312 and 318

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

LCM of:
and

Least Common Multiple of 312 and 318

LCM of 312 and 318 is 16536

Least common multiple can be found by multiplying the highest exponent prime factors of 312 and 318. First we will calculate the prime factors of 312 and 318.

Prime Factorization of 312


2 312
2 156
2 78
3 39
13 13
1

Prime factors of 312 are 2, 3,13. Prime factorization of 312 in exponential form is:

312 = 23×31×131

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 312 and 318.

LCM(312,318) = 23×31×131×531
LCM(312,318) = 16536

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 312 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 312 and 318, than apply into the LCM equation.

GCF(312,318) = 6
LCM(312,318) = ( 312 × 318) / 6
LCM(312,318) = 99216 / 6
LCM(312,318) = 16536

Properties of LCM 312 and 318

(i) The LCM of 318 and 312 is associative

LCM of 312 and 318 = LCM of 318 and 312

Related Least Common Multiples of 312

Related Least Common Multiples of 318

Frequently Asked Questions on LCM of 312 and 318

1. What is the LCM of 312 and 318?

Answer: LCM of 312 and 318 is 16536.

2. What are the Factors of 312?

Answer: Factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312. There are 16 integers that are factors of 312. The greatest factor of 312 is 312.

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 312 and 318?

Answer:

Least Common Multiple of 312 and 318 = 16536

Step 1: Find the prime factorization of 312

312 = 2 x 2 x 2 x 3 x 13

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 = 16536 = 2 x 2 x 2 x 3 x 13 x 53

Step 4: Therefore, the least common multiple of 312 and 318 is 16536.