Least Common Multiple of 6317 and 6323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6317 and 6323 the smallest integer that is 39942391 that is divisible by both numbers.

Least Common Multiple (LCM) of 6317 and 6323 is 39942391.

LCM(6317,6323) = 39942391

LCM of 6317 and 6323

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

LCM of:
and

Least Common Multiple of 6317 and 6323

LCM of 6317 and 6323 is 39942391

Least common multiple can be found by multiplying the highest exponent prime factors of 6317 and 6323. First we will calculate the prime factors of 6317 and 6323.

Prime Factorization of 6317


6317 6317
1

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

6317 = 63171

Prime Factorization of 6323


6323 6323
1

Prime factors of 6323 are 6323. Prime factorization of 6323 in exponential form is:

6323 = 63231

Now multiplying the highest exponent prime factors to calculate the LCM of 6317 and 6323.

LCM(6317,6323) = 63171×63231
LCM(6317,6323) = 39942391

Factors of 6317

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

1, 6317

Factors of 6323

List of positive integer factors of 6323 that divides 6323 without a remainder.

1, 6323

Least Common Multiple of 6317 and 6323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6317 and 6323, than apply into the LCM equation.

GCF(6317,6323) = 1
LCM(6317,6323) = ( 6317 × 6323) / 1
LCM(6317,6323) = 39942391 / 1
LCM(6317,6323) = 39942391

Properties of LCM 6317 and 6323

(i) The LCM of 6323 and 6317 is associative

LCM of 6317 and 6323 = LCM of 6323 and 6317

Related Least Common Multiples of 6317

Related Least Common Multiples of 6323

Frequently Asked Questions on LCM of 6317 and 6323

1. What is the LCM of 6317 and 6323?

Answer: LCM of 6317 and 6323 is 39942391.

2. 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.

3. What are the Factors of 6323?

Answer: Factors of 6323 are 1, 6323. There are 2 integers that are factors of 6323. The greatest factor of 6323 is 6323.

4. How to Find the LCM of 6317 and 6323?

Answer:

Least Common Multiple of 6317 and 6323 = 39942391

Step 1: Find the prime factorization of 6317

6317 = 6317

Step 2: Find the prime factorization of 6323

6323 = 6323

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

LCM = 39942391 = 6317 x 6323

Step 4: Therefore, the least common multiple of 6317 and 6323 is 39942391.