Least Common Multiple of 8397 and 8403

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 8403 the smallest integer that is 23519997 that is divisible by both numbers.

Least Common Multiple (LCM) of 8397 and 8403 is 23519997.

LCM(8397,8403) = 23519997

LCM of 8397 and 8403

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

LCM of:
and

Least Common Multiple of 8397 and 8403

LCM of 8397 and 8403 is 23519997

Least common multiple can be found by multiplying the highest exponent prime factors of 8397 and 8403. First we will calculate the prime factors of 8397 and 8403.

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 8403


3 8403
2801 2801
1

Prime factors of 8403 are 3,2801. Prime factorization of 8403 in exponential form is:

8403 = 31×28011

Now multiplying the highest exponent prime factors to calculate the LCM of 8397 and 8403.

LCM(8397,8403) = 33×3111×28011
LCM(8397,8403) = 23519997

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 8403

List of positive integer factors of 8403 that divides 8403 without a remainder.

1, 3, 2801, 8403

Least Common Multiple of 8397 and 8403 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 8403, than apply into the LCM equation.

GCF(8397,8403) = 3
LCM(8397,8403) = ( 8397 × 8403) / 3
LCM(8397,8403) = 70559991 / 3
LCM(8397,8403) = 23519997

Properties of LCM 8397 and 8403

(i) The LCM of 8403 and 8397 is associative

LCM of 8397 and 8403 = LCM of 8403 and 8397

Related Least Common Multiples of 8397

Related Least Common Multiples of 8403

Frequently Asked Questions on LCM of 8397 and 8403

1. What is the LCM of 8397 and 8403?

Answer: LCM of 8397 and 8403 is 23519997.

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 8403?

Answer: Factors of 8403 are 1, 3, 2801, 8403. There are 4 integers that are factors of 8403. The greatest factor of 8403 is 8403.

4. How to Find the LCM of 8397 and 8403?

Answer:

Least Common Multiple of 8397 and 8403 = 23519997

Step 1: Find the prime factorization of 8397

8397 = 3 x 3 x 3 x 311

Step 2: Find the prime factorization of 8403

8403 = 3 x 2801

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

LCM = 23519997 = 3 x 3 x 3 x 311 x 2801

Step 4: Therefore, the least common multiple of 8397 and 8403 is 23519997.