Least Common Multiple of 8390 and 8394

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 8394 the smallest integer that is 35212830 that is divisible by both numbers.

Least Common Multiple (LCM) of 8390 and 8394 is 35212830.

LCM(8390,8394) = 35212830

LCM of 8390 and 8394

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

LCM of:
and

Least Common Multiple of 8390 and 8394

LCM of 8390 and 8394 is 35212830

Least common multiple can be found by multiplying the highest exponent prime factors of 8390 and 8394. First we will calculate the prime factors of 8390 and 8394.

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 8394


2 8394
3 4197
1399 1399
1

Prime factors of 8394 are 2, 3,1399. Prime factorization of 8394 in exponential form is:

8394 = 21×31×13991

Now multiplying the highest exponent prime factors to calculate the LCM of 8390 and 8394.

LCM(8390,8394) = 21×31×51×8391×13991
LCM(8390,8394) = 35212830

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 8394

List of positive integer factors of 8394 that divides 8394 without a remainder.

1, 2, 3, 6, 1399, 2798, 4197, 8394

Least Common Multiple of 8390 and 8394 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 8394, than apply into the LCM equation.

GCF(8390,8394) = 2
LCM(8390,8394) = ( 8390 × 8394) / 2
LCM(8390,8394) = 70425660 / 2
LCM(8390,8394) = 35212830

Properties of LCM 8390 and 8394

(i) The LCM of 8394 and 8390 is associative

LCM of 8390 and 8394 = LCM of 8394 and 8390

Related Least Common Multiples of 8390

Related Least Common Multiples of 8394

Frequently Asked Questions on LCM of 8390 and 8394

1. What is the LCM of 8390 and 8394?

Answer: LCM of 8390 and 8394 is 35212830.

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 8394?

Answer: Factors of 8394 are 1, 2, 3, 6, 1399, 2798, 4197, 8394. There are 8 integers that are factors of 8394. The greatest factor of 8394 is 8394.

4. How to Find the LCM of 8390 and 8394?

Answer:

Least Common Multiple of 8390 and 8394 = 35212830

Step 1: Find the prime factorization of 8390

8390 = 2 x 5 x 839

Step 2: Find the prime factorization of 8394

8394 = 2 x 3 x 1399

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

LCM = 35212830 = 2 x 3 x 5 x 839 x 1399

Step 4: Therefore, the least common multiple of 8390 and 8394 is 35212830.