Least Common Multiple of 8309 and 8317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8309 and 8317 the smallest integer that is 69105953 that is divisible by both numbers.

Least Common Multiple (LCM) of 8309 and 8317 is 69105953.

LCM(8309,8317) = 69105953

LCM of 8309 and 8317

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

LCM of:
and

Least Common Multiple of 8309 and 8317

LCM of 8309 and 8317 is 69105953

Least common multiple can be found by multiplying the highest exponent prime factors of 8309 and 8317. First we will calculate the prime factors of 8309 and 8317.

Prime Factorization of 8309


7 8309
1187 1187
1

Prime factors of 8309 are 7,1187. Prime factorization of 8309 in exponential form is:

8309 = 71×11871

Prime Factorization of 8317


8317 8317
1

Prime factors of 8317 are 8317. Prime factorization of 8317 in exponential form is:

8317 = 83171

Now multiplying the highest exponent prime factors to calculate the LCM of 8309 and 8317.

LCM(8309,8317) = 71×11871×83171
LCM(8309,8317) = 69105953

Factors of 8309

List of positive integer factors of 8309 that divides 8309 without a remainder.

1, 7, 1187, 8309

Factors of 8317

List of positive integer factors of 8317 that divides 8317 without a remainder.

1, 8317

Least Common Multiple of 8309 and 8317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8309 and 8317, than apply into the LCM equation.

GCF(8309,8317) = 1
LCM(8309,8317) = ( 8309 × 8317) / 1
LCM(8309,8317) = 69105953 / 1
LCM(8309,8317) = 69105953

Properties of LCM 8309 and 8317

(i) The LCM of 8317 and 8309 is associative

LCM of 8309 and 8317 = LCM of 8317 and 8309

Related Least Common Multiples of 8309

Related Least Common Multiples of 8317

Frequently Asked Questions on LCM of 8309 and 8317

1. What is the LCM of 8309 and 8317?

Answer: LCM of 8309 and 8317 is 69105953.

2. What are the Factors of 8309?

Answer: Factors of 8309 are 1, 7, 1187, 8309. There are 4 integers that are factors of 8309. The greatest factor of 8309 is 8309.

3. What are the Factors of 8317?

Answer: Factors of 8317 are 1, 8317. There are 2 integers that are factors of 8317. The greatest factor of 8317 is 8317.

4. How to Find the LCM of 8309 and 8317?

Answer:

Least Common Multiple of 8309 and 8317 = 69105953

Step 1: Find the prime factorization of 8309

8309 = 7 x 1187

Step 2: Find the prime factorization of 8317

8317 = 8317

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

LCM = 69105953 = 7 x 1187 x 8317

Step 4: Therefore, the least common multiple of 8309 and 8317 is 69105953.