Least Common Multiple of 6312 and 6317

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 6317 the smallest integer that is 39872904 that is divisible by both numbers.

Least Common Multiple (LCM) of 6312 and 6317 is 39872904.

LCM(6312,6317) = 39872904

LCM of 6312 and 6317

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

LCM of:
and

Least Common Multiple of 6312 and 6317

LCM of 6312 and 6317 is 39872904

Least common multiple can be found by multiplying the highest exponent prime factors of 6312 and 6317. First we will calculate the prime factors of 6312 and 6317.

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 6317


6317 6317
1

Prime factors of 6317 are 6317. Prime factorization of 6317 in exponential form is:

6317 = 63171

Now multiplying the highest exponent prime factors to calculate the LCM of 6312 and 6317.

LCM(6312,6317) = 23×31×2631×63171
LCM(6312,6317) = 39872904

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 6317

List of positive integer factors of 6317 that divides 6317 without a remainder.

1, 6317

Least Common Multiple of 6312 and 6317 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 6317, than apply into the LCM equation.

GCF(6312,6317) = 1
LCM(6312,6317) = ( 6312 × 6317) / 1
LCM(6312,6317) = 39872904 / 1
LCM(6312,6317) = 39872904

Properties of LCM 6312 and 6317

(i) The LCM of 6317 and 6312 is associative

LCM of 6312 and 6317 = LCM of 6317 and 6312

Related Least Common Multiples of 6312

Related Least Common Multiples of 6317

Frequently Asked Questions on LCM of 6312 and 6317

1. What is the LCM of 6312 and 6317?

Answer: LCM of 6312 and 6317 is 39872904.

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 6317?

Answer: Factors of 6317 are 1, 6317. There are 2 integers that are factors of 6317. The greatest factor of 6317 is 6317.

4. How to Find the LCM of 6312 and 6317?

Answer:

Least Common Multiple of 6312 and 6317 = 39872904

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 6317

6317 = 6317

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

LCM = 39872904 = 2 x 2 x 2 x 3 x 263 x 6317

Step 4: Therefore, the least common multiple of 6312 and 6317 is 39872904.