Least Common Multiple of 8386 and 8390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8386 and 8390 the smallest integer that is 35179270 that is divisible by both numbers.

Least Common Multiple (LCM) of 8386 and 8390 is 35179270.

LCM(8386,8390) = 35179270

LCM of 8386 and 8390

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

LCM of:
and

Least Common Multiple of 8386 and 8390

LCM of 8386 and 8390 is 35179270

Least common multiple can be found by multiplying the highest exponent prime factors of 8386 and 8390. First we will calculate the prime factors of 8386 and 8390.

Prime Factorization of 8386


2 8386
7 4193
599 599
1

Prime factors of 8386 are 2, 7,599. Prime factorization of 8386 in exponential form is:

8386 = 21×71×5991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8386 and 8390.

LCM(8386,8390) = 21×51×71×5991×8391
LCM(8386,8390) = 35179270

Factors of 8386

List of positive integer factors of 8386 that divides 8386 without a remainder.

1, 2, 7, 14, 599, 1198, 4193, 8386

Factors of 8390

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

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

Least Common Multiple of 8386 and 8390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8386 and 8390, than apply into the LCM equation.

GCF(8386,8390) = 2
LCM(8386,8390) = ( 8386 × 8390) / 2
LCM(8386,8390) = 70358540 / 2
LCM(8386,8390) = 35179270

Properties of LCM 8386 and 8390

(i) The LCM of 8390 and 8386 is associative

LCM of 8386 and 8390 = LCM of 8390 and 8386

Related Least Common Multiples of 8386

Related Least Common Multiples of 8390

Frequently Asked Questions on LCM of 8386 and 8390

1. What is the LCM of 8386 and 8390?

Answer: LCM of 8386 and 8390 is 35179270.

2. What are the Factors of 8386?

Answer: Factors of 8386 are 1, 2, 7, 14, 599, 1198, 4193, 8386. There are 8 integers that are factors of 8386. The greatest factor of 8386 is 8386.

3. 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.

4. How to Find the LCM of 8386 and 8390?

Answer:

Least Common Multiple of 8386 and 8390 = 35179270

Step 1: Find the prime factorization of 8386

8386 = 2 x 7 x 599

Step 2: Find the prime factorization of 8390

8390 = 2 x 5 x 839

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

LCM = 35179270 = 2 x 5 x 7 x 599 x 839

Step 4: Therefore, the least common multiple of 8386 and 8390 is 35179270.