Least Common Multiple of 8390 and 8398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8390 and 8398 the smallest integer that is 35229610 that is divisible by both numbers.

Least Common Multiple (LCM) of 8390 and 8398 is 35229610.

LCM(8390,8398) = 35229610

LCM of 8390 and 8398

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

LCM of:
and

Least Common Multiple of 8390 and 8398

LCM of 8390 and 8398 is 35229610

Least common multiple can be found by multiplying the highest exponent prime factors of 8390 and 8398. First we will calculate the prime factors of 8390 and 8398.

Prime Factorization of 8390


2 8390
5 4195
839 839
1

Prime factors of 8390 are 2, 5,839. Prime factorization of 8390 in exponential form is:

8390 = 21×51×8391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8390 and 8398.

LCM(8390,8398) = 21×51×131×171×191×8391
LCM(8390,8398) = 35229610

Factors of 8390

List of positive integer factors of 8390 that divides 8390 without a remainder.

1, 2, 5, 10, 839, 1678, 4195, 8390

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

Least Common Multiple of 8390 and 8398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8390 and 8398, than apply into the LCM equation.

GCF(8390,8398) = 2
LCM(8390,8398) = ( 8390 × 8398) / 2
LCM(8390,8398) = 70459220 / 2
LCM(8390,8398) = 35229610

Properties of LCM 8390 and 8398

(i) The LCM of 8398 and 8390 is associative

LCM of 8390 and 8398 = LCM of 8398 and 8390

Related Least Common Multiples of 8390

Related Least Common Multiples of 8398

Frequently Asked Questions on LCM of 8390 and 8398

1. What is the LCM of 8390 and 8398?

Answer: LCM of 8390 and 8398 is 35229610.

2. What are the Factors of 8390?

Answer: Factors of 8390 are 1, 2, 5, 10, 839, 1678, 4195, 8390. There are 8 integers that are factors of 8390. The greatest factor of 8390 is 8390.

3. 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.

4. How to Find the LCM of 8390 and 8398?

Answer:

Least Common Multiple of 8390 and 8398 = 35229610

Step 1: Find the prime factorization of 8390

8390 = 2 x 5 x 839

Step 2: Find the prime factorization of 8398

8398 = 2 x 13 x 17 x 19

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

LCM = 35229610 = 2 x 5 x 13 x 17 x 19 x 839

Step 4: Therefore, the least common multiple of 8390 and 8398 is 35229610.