Least Common Multiple of 8317 and 8325

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 8325 the smallest integer that is 69239025 that is divisible by both numbers.

Least Common Multiple (LCM) of 8317 and 8325 is 69239025.

LCM(8317,8325) = 69239025

LCM of 8317 and 8325

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

LCM of:
and

Least Common Multiple of 8317 and 8325

LCM of 8317 and 8325 is 69239025

Least common multiple can be found by multiplying the highest exponent prime factors of 8317 and 8325. First we will calculate the prime factors of 8317 and 8325.

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 8325


3 8325
3 2775
5 925
5 185
37 37
1

Prime factors of 8325 are 3, 5,37. Prime factorization of 8325 in exponential form is:

8325 = 32×52×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8317 and 8325.

LCM(8317,8325) = 32×52×371×83171
LCM(8317,8325) = 69239025

Factors of 8317

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

1, 8317

Factors of 8325

List of positive integer factors of 8325 that divides 8325 without a remainder.

1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775, 8325

Least Common Multiple of 8317 and 8325 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 8325, than apply into the LCM equation.

GCF(8317,8325) = 1
LCM(8317,8325) = ( 8317 × 8325) / 1
LCM(8317,8325) = 69239025 / 1
LCM(8317,8325) = 69239025

Properties of LCM 8317 and 8325

(i) The LCM of 8325 and 8317 is associative

LCM of 8317 and 8325 = LCM of 8325 and 8317

Related Least Common Multiples of 8317

Related Least Common Multiples of 8325

Frequently Asked Questions on LCM of 8317 and 8325

1. What is the LCM of 8317 and 8325?

Answer: LCM of 8317 and 8325 is 69239025.

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 8325?

Answer: Factors of 8325 are 1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775, 8325. There are 18 integers that are factors of 8325. The greatest factor of 8325 is 8325.

4. How to Find the LCM of 8317 and 8325?

Answer:

Least Common Multiple of 8317 and 8325 = 69239025

Step 1: Find the prime factorization of 8317

8317 = 8317

Step 2: Find the prime factorization of 8325

8325 = 3 x 3 x 5 x 5 x 37

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

LCM = 69239025 = 3 x 3 x 5 x 5 x 37 x 8317

Step 4: Therefore, the least common multiple of 8317 and 8325 is 69239025.