Least Common Multiple of 6394 and 6398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6394 and 6398 the smallest integer that is 20454406 that is divisible by both numbers.

Least Common Multiple (LCM) of 6394 and 6398 is 20454406.

LCM(6394,6398) = 20454406

LCM of 6394 and 6398

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

LCM of:
and

Least Common Multiple of 6394 and 6398

LCM of 6394 and 6398 is 20454406

Least common multiple can be found by multiplying the highest exponent prime factors of 6394 and 6398. First we will calculate the prime factors of 6394 and 6398.

Prime Factorization of 6394


2 6394
23 3197
139 139
1

Prime factors of 6394 are 2, 23,139. Prime factorization of 6394 in exponential form is:

6394 = 21×231×1391

Prime Factorization of 6398


2 6398
7 3199
457 457
1

Prime factors of 6398 are 2, 7,457. Prime factorization of 6398 in exponential form is:

6398 = 21×71×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 6394 and 6398.

LCM(6394,6398) = 21×71×231×1391×4571
LCM(6394,6398) = 20454406

Factors of 6394

List of positive integer factors of 6394 that divides 6394 without a remainder.

1, 2, 23, 46, 139, 278, 3197, 6394

Factors of 6398

List of positive integer factors of 6398 that divides 6398 without a remainder.

1, 2, 7, 14, 457, 914, 3199, 6398

Least Common Multiple of 6394 and 6398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6394 and 6398, than apply into the LCM equation.

GCF(6394,6398) = 2
LCM(6394,6398) = ( 6394 × 6398) / 2
LCM(6394,6398) = 40908812 / 2
LCM(6394,6398) = 20454406

Properties of LCM 6394 and 6398

(i) The LCM of 6398 and 6394 is associative

LCM of 6394 and 6398 = LCM of 6398 and 6394

Related Least Common Multiples of 6394

Related Least Common Multiples of 6398

Frequently Asked Questions on LCM of 6394 and 6398

1. What is the LCM of 6394 and 6398?

Answer: LCM of 6394 and 6398 is 20454406.

2. What are the Factors of 6394?

Answer: Factors of 6394 are 1, 2, 23, 46, 139, 278, 3197, 6394. There are 8 integers that are factors of 6394. The greatest factor of 6394 is 6394.

3. What are the Factors of 6398?

Answer: Factors of 6398 are 1, 2, 7, 14, 457, 914, 3199, 6398. There are 8 integers that are factors of 6398. The greatest factor of 6398 is 6398.

4. How to Find the LCM of 6394 and 6398?

Answer:

Least Common Multiple of 6394 and 6398 = 20454406

Step 1: Find the prime factorization of 6394

6394 = 2 x 23 x 139

Step 2: Find the prime factorization of 6398

6398 = 2 x 7 x 457

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

LCM = 20454406 = 2 x 7 x 23 x 139 x 457

Step 4: Therefore, the least common multiple of 6394 and 6398 is 20454406.