Least Common Multiple of 312 and 316

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 316 the smallest integer that is 24648 that is divisible by both numbers.

Least Common Multiple (LCM) of 312 and 316 is 24648.

LCM(312,316) = 24648

LCM of 312 and 316

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

LCM of:
and

Least Common Multiple of 312 and 316

LCM of 312 and 316 is 24648

Least common multiple can be found by multiplying the highest exponent prime factors of 312 and 316. First we will calculate the prime factors of 312 and 316.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 312 and 316.

LCM(312,316) = 23×31×131×791
LCM(312,316) = 24648

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 316

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

1, 2, 4, 79, 158, 316

Least Common Multiple of 312 and 316 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 316, than apply into the LCM equation.

GCF(312,316) = 4
LCM(312,316) = ( 312 × 316) / 4
LCM(312,316) = 98592 / 4
LCM(312,316) = 24648

Properties of LCM 312 and 316

(i) The LCM of 316 and 312 is associative

LCM of 312 and 316 = LCM of 316 and 312

Related Least Common Multiples of 312

Related Least Common Multiples of 316

Frequently Asked Questions on LCM of 312 and 316

1. What is the LCM of 312 and 316?

Answer: LCM of 312 and 316 is 24648.

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 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.

4. How to Find the LCM of 312 and 316?

Answer:

Least Common Multiple of 312 and 316 = 24648

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 316

316 = 2 x 2 x 79

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

LCM = 24648 = 2 x 2 x 2 x 3 x 13 x 79

Step 4: Therefore, the least common multiple of 312 and 316 is 24648.