Least Common Multiple of 8390 and 8395

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 8395 the smallest integer that is 14086810 that is divisible by both numbers.

Least Common Multiple (LCM) of 8390 and 8395 is 14086810.

LCM(8390,8395) = 14086810

LCM of 8390 and 8395

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

LCM of:
and

Least Common Multiple of 8390 and 8395

LCM of 8390 and 8395 is 14086810

Least common multiple can be found by multiplying the highest exponent prime factors of 8390 and 8395. First we will calculate the prime factors of 8390 and 8395.

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 8395


5 8395
23 1679
73 73
1

Prime factors of 8395 are 5, 23,73. Prime factorization of 8395 in exponential form is:

8395 = 51×231×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8390 and 8395.

LCM(8390,8395) = 21×51×231×731×8391
LCM(8390,8395) = 14086810

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 8395

List of positive integer factors of 8395 that divides 8395 without a remainder.

1, 5, 23, 73, 115, 365, 1679, 8395

Least Common Multiple of 8390 and 8395 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 8395, than apply into the LCM equation.

GCF(8390,8395) = 5
LCM(8390,8395) = ( 8390 × 8395) / 5
LCM(8390,8395) = 70434050 / 5
LCM(8390,8395) = 14086810

Properties of LCM 8390 and 8395

(i) The LCM of 8395 and 8390 is associative

LCM of 8390 and 8395 = LCM of 8395 and 8390

Related Least Common Multiples of 8390

Related Least Common Multiples of 8395

Frequently Asked Questions on LCM of 8390 and 8395

1. What is the LCM of 8390 and 8395?

Answer: LCM of 8390 and 8395 is 14086810.

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 8395?

Answer: Factors of 8395 are 1, 5, 23, 73, 115, 365, 1679, 8395. There are 8 integers that are factors of 8395. The greatest factor of 8395 is 8395.

4. How to Find the LCM of 8390 and 8395?

Answer:

Least Common Multiple of 8390 and 8395 = 14086810

Step 1: Find the prime factorization of 8390

8390 = 2 x 5 x 839

Step 2: Find the prime factorization of 8395

8395 = 5 x 23 x 73

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

LCM = 14086810 = 2 x 5 x 23 x 73 x 839

Step 4: Therefore, the least common multiple of 8390 and 8395 is 14086810.