Least Common Multiple of 6309 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 6309 and 6317 the smallest integer that is 39853953 that is divisible by both numbers.

Least Common Multiple (LCM) of 6309 and 6317 is 39853953.

LCM(6309,6317) = 39853953

LCM of 6309 and 6317

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

LCM of:
and

Least Common Multiple of 6309 and 6317

LCM of 6309 and 6317 is 39853953

Least common multiple can be found by multiplying the highest exponent prime factors of 6309 and 6317. First we will calculate the prime factors of 6309 and 6317.

Prime Factorization of 6309


3 6309
3 2103
701 701
1

Prime factors of 6309 are 3,701. Prime factorization of 6309 in exponential form is:

6309 = 32×7011

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 6309 and 6317.

LCM(6309,6317) = 32×7011×63171
LCM(6309,6317) = 39853953

Factors of 6309

List of positive integer factors of 6309 that divides 6309 without a remainder.

1, 3, 9, 701, 2103, 6309

Factors of 6317

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

1, 6317

Least Common Multiple of 6309 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 6309 and 6317, than apply into the LCM equation.

GCF(6309,6317) = 1
LCM(6309,6317) = ( 6309 × 6317) / 1
LCM(6309,6317) = 39853953 / 1
LCM(6309,6317) = 39853953

Properties of LCM 6309 and 6317

(i) The LCM of 6317 and 6309 is associative

LCM of 6309 and 6317 = LCM of 6317 and 6309

Related Least Common Multiples of 6309

Related Least Common Multiples of 6317

Frequently Asked Questions on LCM of 6309 and 6317

1. What is the LCM of 6309 and 6317?

Answer: LCM of 6309 and 6317 is 39853953.

2. What are the Factors of 6309?

Answer: Factors of 6309 are 1, 3, 9, 701, 2103, 6309. There are 6 integers that are factors of 6309. The greatest factor of 6309 is 6309.

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 6309 and 6317?

Answer:

Least Common Multiple of 6309 and 6317 = 39853953

Step 1: Find the prime factorization of 6309

6309 = 3 x 3 x 701

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 = 39853953 = 3 x 3 x 701 x 6317

Step 4: Therefore, the least common multiple of 6309 and 6317 is 39853953.