Least Common Multiple of 8390 and 8397

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 8397 the smallest integer that is 70450830 that is divisible by both numbers.

Least Common Multiple (LCM) of 8390 and 8397 is 70450830.

LCM(8390,8397) = 70450830

LCM of 8390 and 8397

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

LCM of:
and

Least Common Multiple of 8390 and 8397

LCM of 8390 and 8397 is 70450830

Least common multiple can be found by multiplying the highest exponent prime factors of 8390 and 8397. First we will calculate the prime factors of 8390 and 8397.

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 8397


3 8397
3 2799
3 933
311 311
1

Prime factors of 8397 are 3,311. Prime factorization of 8397 in exponential form is:

8397 = 33×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 8390 and 8397.

LCM(8390,8397) = 21×33×51×3111×8391
LCM(8390,8397) = 70450830

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 8397

List of positive integer factors of 8397 that divides 8397 without a remainder.

1, 3, 9, 27, 311, 933, 2799, 8397

Least Common Multiple of 8390 and 8397 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 8397, than apply into the LCM equation.

GCF(8390,8397) = 1
LCM(8390,8397) = ( 8390 × 8397) / 1
LCM(8390,8397) = 70450830 / 1
LCM(8390,8397) = 70450830

Properties of LCM 8390 and 8397

(i) The LCM of 8397 and 8390 is associative

LCM of 8390 and 8397 = LCM of 8397 and 8390

Related Least Common Multiples of 8390

Related Least Common Multiples of 8397

Frequently Asked Questions on LCM of 8390 and 8397

1. What is the LCM of 8390 and 8397?

Answer: LCM of 8390 and 8397 is 70450830.

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 8397?

Answer: Factors of 8397 are 1, 3, 9, 27, 311, 933, 2799, 8397. There are 8 integers that are factors of 8397. The greatest factor of 8397 is 8397.

4. How to Find the LCM of 8390 and 8397?

Answer:

Least Common Multiple of 8390 and 8397 = 70450830

Step 1: Find the prime factorization of 8390

8390 = 2 x 5 x 839

Step 2: Find the prime factorization of 8397

8397 = 3 x 3 x 3 x 311

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

LCM = 70450830 = 2 x 3 x 3 x 3 x 5 x 311 x 839

Step 4: Therefore, the least common multiple of 8390 and 8397 is 70450830.