Least Common Multiple of 8398 and 8406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8398 and 8406 the smallest integer that is 35296794 that is divisible by both numbers.

Least Common Multiple (LCM) of 8398 and 8406 is 35296794.

LCM(8398,8406) = 35296794

LCM of 8398 and 8406

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

LCM of:
and

Least Common Multiple of 8398 and 8406

LCM of 8398 and 8406 is 35296794

Least common multiple can be found by multiplying the highest exponent prime factors of 8398 and 8406. First we will calculate the prime factors of 8398 and 8406.

Prime Factorization of 8398


2 8398
13 4199
17 323
19 19
1

Prime factors of 8398 are 2, 13, 17,19. Prime factorization of 8398 in exponential form is:

8398 = 21×131×171×191

Prime Factorization of 8406


2 8406
3 4203
3 1401
467 467
1

Prime factors of 8406 are 2, 3,467. Prime factorization of 8406 in exponential form is:

8406 = 21×32×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 8398 and 8406.

LCM(8398,8406) = 21×32×131×171×191×4671
LCM(8398,8406) = 35296794

Factors of 8398

List of positive integer factors of 8398 that divides 8398 without a remainder.

1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398

Factors of 8406

List of positive integer factors of 8406 that divides 8406 without a remainder.

1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203, 8406

Least Common Multiple of 8398 and 8406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8398 and 8406, than apply into the LCM equation.

GCF(8398,8406) = 2
LCM(8398,8406) = ( 8398 × 8406) / 2
LCM(8398,8406) = 70593588 / 2
LCM(8398,8406) = 35296794

Properties of LCM 8398 and 8406

(i) The LCM of 8406 and 8398 is associative

LCM of 8398 and 8406 = LCM of 8406 and 8398

Related Least Common Multiples of 8398

Related Least Common Multiples of 8406

Frequently Asked Questions on LCM of 8398 and 8406

1. What is the LCM of 8398 and 8406?

Answer: LCM of 8398 and 8406 is 35296794.

2. What are the Factors of 8398?

Answer: Factors of 8398 are 1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398. There are 16 integers that are factors of 8398. The greatest factor of 8398 is 8398.

3. What are the Factors of 8406?

Answer: Factors of 8406 are 1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203, 8406. There are 12 integers that are factors of 8406. The greatest factor of 8406 is 8406.

4. How to Find the LCM of 8398 and 8406?

Answer:

Least Common Multiple of 8398 and 8406 = 35296794

Step 1: Find the prime factorization of 8398

8398 = 2 x 13 x 17 x 19

Step 2: Find the prime factorization of 8406

8406 = 2 x 3 x 3 x 467

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

LCM = 35296794 = 2 x 3 x 3 x 13 x 17 x 19 x 467

Step 4: Therefore, the least common multiple of 8398 and 8406 is 35296794.