Least Common Multiple of 8394 and 8399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8394 and 8399 the smallest integer that is 70501206 that is divisible by both numbers.

Least Common Multiple (LCM) of 8394 and 8399 is 70501206.

LCM(8394,8399) = 70501206

LCM of 8394 and 8399

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

LCM of:
and

Least Common Multiple of 8394 and 8399

LCM of 8394 and 8399 is 70501206

Least common multiple can be found by multiplying the highest exponent prime factors of 8394 and 8399. First we will calculate the prime factors of 8394 and 8399.

Prime Factorization of 8394


2 8394
3 4197
1399 1399
1

Prime factors of 8394 are 2, 3,1399. Prime factorization of 8394 in exponential form is:

8394 = 21×31×13991

Prime Factorization of 8399


37 8399
227 227
1

Prime factors of 8399 are 37,227. Prime factorization of 8399 in exponential form is:

8399 = 371×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 8394 and 8399.

LCM(8394,8399) = 21×31×371×2271×13991
LCM(8394,8399) = 70501206

Factors of 8394

List of positive integer factors of 8394 that divides 8394 without a remainder.

1, 2, 3, 6, 1399, 2798, 4197, 8394

Factors of 8399

List of positive integer factors of 8399 that divides 8399 without a remainder.

1, 37, 227, 8399

Least Common Multiple of 8394 and 8399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8394 and 8399, than apply into the LCM equation.

GCF(8394,8399) = 1
LCM(8394,8399) = ( 8394 × 8399) / 1
LCM(8394,8399) = 70501206 / 1
LCM(8394,8399) = 70501206

Properties of LCM 8394 and 8399

(i) The LCM of 8399 and 8394 is associative

LCM of 8394 and 8399 = LCM of 8399 and 8394

Related Least Common Multiples of 8394

Related Least Common Multiples of 8399

Frequently Asked Questions on LCM of 8394 and 8399

1. What is the LCM of 8394 and 8399?

Answer: LCM of 8394 and 8399 is 70501206.

2. What are the Factors of 8394?

Answer: Factors of 8394 are 1, 2, 3, 6, 1399, 2798, 4197, 8394. There are 8 integers that are factors of 8394. The greatest factor of 8394 is 8394.

3. What are the Factors of 8399?

Answer: Factors of 8399 are 1, 37, 227, 8399. There are 4 integers that are factors of 8399. The greatest factor of 8399 is 8399.

4. How to Find the LCM of 8394 and 8399?

Answer:

Least Common Multiple of 8394 and 8399 = 70501206

Step 1: Find the prime factorization of 8394

8394 = 2 x 3 x 1399

Step 2: Find the prime factorization of 8399

8399 = 37 x 227

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

LCM = 70501206 = 2 x 3 x 37 x 227 x 1399

Step 4: Therefore, the least common multiple of 8394 and 8399 is 70501206.