Least Common Multiple of 8393 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 8393 and 8398 the smallest integer that is 70484414 that is divisible by both numbers.

Least Common Multiple (LCM) of 8393 and 8398 is 70484414.

LCM(8393,8398) = 70484414

LCM of 8393 and 8398

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

LCM of:
and

Least Common Multiple of 8393 and 8398

LCM of 8393 and 8398 is 70484414

Least common multiple can be found by multiplying the highest exponent prime factors of 8393 and 8398. First we will calculate the prime factors of 8393 and 8398.

Prime Factorization of 8393


7 8393
11 1199
109 109
1

Prime factors of 8393 are 7, 11,109. Prime factorization of 8393 in exponential form is:

8393 = 71×111×1091

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 8393 and 8398.

LCM(8393,8398) = 21×71×111×131×171×191×1091
LCM(8393,8398) = 70484414

Factors of 8393

List of positive integer factors of 8393 that divides 8393 without a remainder.

1, 7, 11, 77, 109, 763, 1199, 8393

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 8393 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 8393 and 8398, than apply into the LCM equation.

GCF(8393,8398) = 1
LCM(8393,8398) = ( 8393 × 8398) / 1
LCM(8393,8398) = 70484414 / 1
LCM(8393,8398) = 70484414

Properties of LCM 8393 and 8398

(i) The LCM of 8398 and 8393 is associative

LCM of 8393 and 8398 = LCM of 8398 and 8393

Related Least Common Multiples of 8393

Related Least Common Multiples of 8398

Frequently Asked Questions on LCM of 8393 and 8398

1. What is the LCM of 8393 and 8398?

Answer: LCM of 8393 and 8398 is 70484414.

2. What are the Factors of 8393?

Answer: Factors of 8393 are 1, 7, 11, 77, 109, 763, 1199, 8393. There are 8 integers that are factors of 8393. The greatest factor of 8393 is 8393.

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 8393 and 8398?

Answer:

Least Common Multiple of 8393 and 8398 = 70484414

Step 1: Find the prime factorization of 8393

8393 = 7 x 11 x 109

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 = 70484414 = 2 x 7 x 11 x 13 x 17 x 19 x 109

Step 4: Therefore, the least common multiple of 8393 and 8398 is 70484414.