Least Common Multiple of 8397 and 8404

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 8404 the smallest integer that is 70568388 that is divisible by both numbers.

Least Common Multiple (LCM) of 8397 and 8404 is 70568388.

LCM(8397,8404) = 70568388

LCM of 8397 and 8404

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

LCM of:
and

Least Common Multiple of 8397 and 8404

LCM of 8397 and 8404 is 70568388

Least common multiple can be found by multiplying the highest exponent prime factors of 8397 and 8404. First we will calculate the prime factors of 8397 and 8404.

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 8404


2 8404
2 4202
11 2101
191 191
1

Prime factors of 8404 are 2, 11,191. Prime factorization of 8404 in exponential form is:

8404 = 22×111×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 8397 and 8404.

LCM(8397,8404) = 22×33×111×1911×3111
LCM(8397,8404) = 70568388

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 8404

List of positive integer factors of 8404 that divides 8404 without a remainder.

1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404

Least Common Multiple of 8397 and 8404 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 8404, than apply into the LCM equation.

GCF(8397,8404) = 1
LCM(8397,8404) = ( 8397 × 8404) / 1
LCM(8397,8404) = 70568388 / 1
LCM(8397,8404) = 70568388

Properties of LCM 8397 and 8404

(i) The LCM of 8404 and 8397 is associative

LCM of 8397 and 8404 = LCM of 8404 and 8397

Related Least Common Multiples of 8397

Related Least Common Multiples of 8404

Frequently Asked Questions on LCM of 8397 and 8404

1. What is the LCM of 8397 and 8404?

Answer: LCM of 8397 and 8404 is 70568388.

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 8404?

Answer: Factors of 8404 are 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404. There are 12 integers that are factors of 8404. The greatest factor of 8404 is 8404.

4. How to Find the LCM of 8397 and 8404?

Answer:

Least Common Multiple of 8397 and 8404 = 70568388

Step 1: Find the prime factorization of 8397

8397 = 3 x 3 x 3 x 311

Step 2: Find the prime factorization of 8404

8404 = 2 x 2 x 11 x 191

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

LCM = 70568388 = 2 x 2 x 3 x 3 x 3 x 11 x 191 x 311

Step 4: Therefore, the least common multiple of 8397 and 8404 is 70568388.