Least Common Multiple of 8397 and 8405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8397 and 8405 the smallest integer that is 70576785 that is divisible by both numbers.

Least Common Multiple (LCM) of 8397 and 8405 is 70576785.

LCM(8397,8405) = 70576785

LCM of 8397 and 8405

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

LCM of:
and

Least Common Multiple of 8397 and 8405

LCM of 8397 and 8405 is 70576785

Least common multiple can be found by multiplying the highest exponent prime factors of 8397 and 8405. First we will calculate the prime factors of 8397 and 8405.

Prime Factorization of 8397


3 8397
3 2799
3 933
311 311
1

Prime factors of 8397 are 3,311. Prime factorization of 8397 in exponential form is:

8397 = 33×3111

Prime Factorization of 8405


5 8405
41 1681
41 41
1

Prime factors of 8405 are 5,41. Prime factorization of 8405 in exponential form is:

8405 = 51×412

Now multiplying the highest exponent prime factors to calculate the LCM of 8397 and 8405.

LCM(8397,8405) = 33×51×412×3111
LCM(8397,8405) = 70576785

Factors of 8397

List of positive integer factors of 8397 that divides 8397 without a remainder.

1, 3, 9, 27, 311, 933, 2799, 8397

Factors of 8405

List of positive integer factors of 8405 that divides 8405 without a remainder.

1, 5, 41, 205, 1681, 8405

Least Common Multiple of 8397 and 8405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8397 and 8405, than apply into the LCM equation.

GCF(8397,8405) = 1
LCM(8397,8405) = ( 8397 × 8405) / 1
LCM(8397,8405) = 70576785 / 1
LCM(8397,8405) = 70576785

Properties of LCM 8397 and 8405

(i) The LCM of 8405 and 8397 is associative

LCM of 8397 and 8405 = LCM of 8405 and 8397

Related Least Common Multiples of 8397

Related Least Common Multiples of 8405

Frequently Asked Questions on LCM of 8397 and 8405

1. What is the LCM of 8397 and 8405?

Answer: LCM of 8397 and 8405 is 70576785.

2. What are the Factors of 8397?

Answer: Factors of 8397 are 1, 3, 9, 27, 311, 933, 2799, 8397. There are 8 integers that are factors of 8397. The greatest factor of 8397 is 8397.

3. What are the Factors of 8405?

Answer: Factors of 8405 are 1, 5, 41, 205, 1681, 8405. There are 6 integers that are factors of 8405. The greatest factor of 8405 is 8405.

4. How to Find the LCM of 8397 and 8405?

Answer:

Least Common Multiple of 8397 and 8405 = 70576785

Step 1: Find the prime factorization of 8397

8397 = 3 x 3 x 3 x 311

Step 2: Find the prime factorization of 8405

8405 = 5 x 41 x 41

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

LCM = 70576785 = 3 x 3 x 3 x 5 x 41 x 41 x 311

Step 4: Therefore, the least common multiple of 8397 and 8405 is 70576785.