Least Common Multiple of 8390 and 8396

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 8396 the smallest integer that is 35221220 that is divisible by both numbers.

Least Common Multiple (LCM) of 8390 and 8396 is 35221220.

LCM(8390,8396) = 35221220

LCM of 8390 and 8396

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

LCM of:
and

Least Common Multiple of 8390 and 8396

LCM of 8390 and 8396 is 35221220

Least common multiple can be found by multiplying the highest exponent prime factors of 8390 and 8396. First we will calculate the prime factors of 8390 and 8396.

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 8396


2 8396
2 4198
2099 2099
1

Prime factors of 8396 are 2,2099. Prime factorization of 8396 in exponential form is:

8396 = 22×20991

Now multiplying the highest exponent prime factors to calculate the LCM of 8390 and 8396.

LCM(8390,8396) = 22×51×8391×20991
LCM(8390,8396) = 35221220

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 8396

List of positive integer factors of 8396 that divides 8396 without a remainder.

1, 2, 4, 2099, 4198, 8396

Least Common Multiple of 8390 and 8396 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 8396, than apply into the LCM equation.

GCF(8390,8396) = 2
LCM(8390,8396) = ( 8390 × 8396) / 2
LCM(8390,8396) = 70442440 / 2
LCM(8390,8396) = 35221220

Properties of LCM 8390 and 8396

(i) The LCM of 8396 and 8390 is associative

LCM of 8390 and 8396 = LCM of 8396 and 8390

Related Least Common Multiples of 8390

Related Least Common Multiples of 8396

Frequently Asked Questions on LCM of 8390 and 8396

1. What is the LCM of 8390 and 8396?

Answer: LCM of 8390 and 8396 is 35221220.

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 8396?

Answer: Factors of 8396 are 1, 2, 4, 2099, 4198, 8396. There are 6 integers that are factors of 8396. The greatest factor of 8396 is 8396.

4. How to Find the LCM of 8390 and 8396?

Answer:

Least Common Multiple of 8390 and 8396 = 35221220

Step 1: Find the prime factorization of 8390

8390 = 2 x 5 x 839

Step 2: Find the prime factorization of 8396

8396 = 2 x 2 x 2099

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

LCM = 35221220 = 2 x 2 x 5 x 839 x 2099

Step 4: Therefore, the least common multiple of 8390 and 8396 is 35221220.