Least Common Multiple of 8289 and 8297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8289 and 8297 the smallest integer that is 68773833 that is divisible by both numbers.

Least Common Multiple (LCM) of 8289 and 8297 is 68773833.

LCM(8289,8297) = 68773833

LCM of 8289 and 8297

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

LCM of:
and

Least Common Multiple of 8289 and 8297

LCM of 8289 and 8297 is 68773833

Least common multiple can be found by multiplying the highest exponent prime factors of 8289 and 8297. First we will calculate the prime factors of 8289 and 8297.

Prime Factorization of 8289


3 8289
3 2763
3 921
307 307
1

Prime factors of 8289 are 3,307. Prime factorization of 8289 in exponential form is:

8289 = 33×3071

Prime Factorization of 8297


8297 8297
1

Prime factors of 8297 are 8297. Prime factorization of 8297 in exponential form is:

8297 = 82971

Now multiplying the highest exponent prime factors to calculate the LCM of 8289 and 8297.

LCM(8289,8297) = 33×3071×82971
LCM(8289,8297) = 68773833

Factors of 8289

List of positive integer factors of 8289 that divides 8289 without a remainder.

1, 3, 9, 27, 307, 921, 2763, 8289

Factors of 8297

List of positive integer factors of 8297 that divides 8297 without a remainder.

1, 8297

Least Common Multiple of 8289 and 8297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8289 and 8297, than apply into the LCM equation.

GCF(8289,8297) = 1
LCM(8289,8297) = ( 8289 × 8297) / 1
LCM(8289,8297) = 68773833 / 1
LCM(8289,8297) = 68773833

Properties of LCM 8289 and 8297

(i) The LCM of 8297 and 8289 is associative

LCM of 8289 and 8297 = LCM of 8297 and 8289

Related Least Common Multiples of 8289

Related Least Common Multiples of 8297

Frequently Asked Questions on LCM of 8289 and 8297

1. What is the LCM of 8289 and 8297?

Answer: LCM of 8289 and 8297 is 68773833.

2. What are the Factors of 8289?

Answer: Factors of 8289 are 1, 3, 9, 27, 307, 921, 2763, 8289. There are 8 integers that are factors of 8289. The greatest factor of 8289 is 8289.

3. What are the Factors of 8297?

Answer: Factors of 8297 are 1, 8297. There are 2 integers that are factors of 8297. The greatest factor of 8297 is 8297.

4. How to Find the LCM of 8289 and 8297?

Answer:

Least Common Multiple of 8289 and 8297 = 68773833

Step 1: Find the prime factorization of 8289

8289 = 3 x 3 x 3 x 307

Step 2: Find the prime factorization of 8297

8297 = 8297

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

LCM = 68773833 = 3 x 3 x 3 x 307 x 8297

Step 4: Therefore, the least common multiple of 8289 and 8297 is 68773833.