Least Common Multiple of 6312 and 6316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6312 and 6316 the smallest integer that is 9966648 that is divisible by both numbers.

Least Common Multiple (LCM) of 6312 and 6316 is 9966648.

LCM(6312,6316) = 9966648

LCM of 6312 and 6316

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

LCM of:
and

Least Common Multiple of 6312 and 6316

LCM of 6312 and 6316 is 9966648

Least common multiple can be found by multiplying the highest exponent prime factors of 6312 and 6316. First we will calculate the prime factors of 6312 and 6316.

Prime Factorization of 6312


2 6312
2 3156
2 1578
3 789
263 263
1

Prime factors of 6312 are 2, 3,263. Prime factorization of 6312 in exponential form is:

6312 = 23×31×2631

Prime Factorization of 6316


2 6316
2 3158
1579 1579
1

Prime factors of 6316 are 2,1579. Prime factorization of 6316 in exponential form is:

6316 = 22×15791

Now multiplying the highest exponent prime factors to calculate the LCM of 6312 and 6316.

LCM(6312,6316) = 23×31×2631×15791
LCM(6312,6316) = 9966648

Factors of 6312

List of positive integer factors of 6312 that divides 6312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 263, 526, 789, 1052, 1578, 2104, 3156, 6312

Factors of 6316

List of positive integer factors of 6316 that divides 6316 without a remainder.

1, 2, 4, 1579, 3158, 6316

Least Common Multiple of 6312 and 6316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6312 and 6316, than apply into the LCM equation.

GCF(6312,6316) = 4
LCM(6312,6316) = ( 6312 × 6316) / 4
LCM(6312,6316) = 39866592 / 4
LCM(6312,6316) = 9966648

Properties of LCM 6312 and 6316

(i) The LCM of 6316 and 6312 is associative

LCM of 6312 and 6316 = LCM of 6316 and 6312

Related Least Common Multiples of 6312

Related Least Common Multiples of 6316

Frequently Asked Questions on LCM of 6312 and 6316

1. What is the LCM of 6312 and 6316?

Answer: LCM of 6312 and 6316 is 9966648.

2. What are the Factors of 6312?

Answer: Factors of 6312 are 1, 2, 3, 4, 6, 8, 12, 24, 263, 526, 789, 1052, 1578, 2104, 3156, 6312. There are 16 integers that are factors of 6312. The greatest factor of 6312 is 6312.

3. What are the Factors of 6316?

Answer: Factors of 6316 are 1, 2, 4, 1579, 3158, 6316. There are 6 integers that are factors of 6316. The greatest factor of 6316 is 6316.

4. How to Find the LCM of 6312 and 6316?

Answer:

Least Common Multiple of 6312 and 6316 = 9966648

Step 1: Find the prime factorization of 6312

6312 = 2 x 2 x 2 x 3 x 263

Step 2: Find the prime factorization of 6316

6316 = 2 x 2 x 1579

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

LCM = 9966648 = 2 x 2 x 2 x 3 x 263 x 1579

Step 4: Therefore, the least common multiple of 6312 and 6316 is 9966648.