Least Common Multiple of 8317 and 8321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8317 and 8321 the smallest integer that is 69205757 that is divisible by both numbers.

Least Common Multiple (LCM) of 8317 and 8321 is 69205757.

LCM(8317,8321) = 69205757

LCM of 8317 and 8321

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

LCM of:
and

Least Common Multiple of 8317 and 8321

LCM of 8317 and 8321 is 69205757

Least common multiple can be found by multiplying the highest exponent prime factors of 8317 and 8321. First we will calculate the prime factors of 8317 and 8321.

Prime Factorization of 8317


8317 8317
1

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

8317 = 83171

Prime Factorization of 8321


53 8321
157 157
1

Prime factors of 8321 are 53,157. Prime factorization of 8321 in exponential form is:

8321 = 531×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 8317 and 8321.

LCM(8317,8321) = 531×1571×83171
LCM(8317,8321) = 69205757

Factors of 8317

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

1, 8317

Factors of 8321

List of positive integer factors of 8321 that divides 8321 without a remainder.

1, 53, 157, 8321

Least Common Multiple of 8317 and 8321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8317 and 8321, than apply into the LCM equation.

GCF(8317,8321) = 1
LCM(8317,8321) = ( 8317 × 8321) / 1
LCM(8317,8321) = 69205757 / 1
LCM(8317,8321) = 69205757

Properties of LCM 8317 and 8321

(i) The LCM of 8321 and 8317 is associative

LCM of 8317 and 8321 = LCM of 8321 and 8317

Related Least Common Multiples of 8317

Related Least Common Multiples of 8321

Frequently Asked Questions on LCM of 8317 and 8321

1. What is the LCM of 8317 and 8321?

Answer: LCM of 8317 and 8321 is 69205757.

2. 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.

3. What are the Factors of 8321?

Answer: Factors of 8321 are 1, 53, 157, 8321. There are 4 integers that are factors of 8321. The greatest factor of 8321 is 8321.

4. How to Find the LCM of 8317 and 8321?

Answer:

Least Common Multiple of 8317 and 8321 = 69205757

Step 1: Find the prime factorization of 8317

8317 = 8317

Step 2: Find the prime factorization of 8321

8321 = 53 x 157

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

LCM = 69205757 = 53 x 157 x 8317

Step 4: Therefore, the least common multiple of 8317 and 8321 is 69205757.