Least Common Multiple of 8384 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 8384 and 8390 the smallest integer that is 35170880 that is divisible by both numbers.

Least Common Multiple (LCM) of 8384 and 8390 is 35170880.

LCM(8384,8390) = 35170880

LCM of 8384 and 8390

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

LCM of:
and

Least Common Multiple of 8384 and 8390

LCM of 8384 and 8390 is 35170880

Least common multiple can be found by multiplying the highest exponent prime factors of 8384 and 8390. First we will calculate the prime factors of 8384 and 8390.

Prime Factorization of 8384


2 8384
2 4192
2 2096
2 1048
2 524
2 262
131 131
1

Prime factors of 8384 are 2,131. Prime factorization of 8384 in exponential form is:

8384 = 26×1311

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 8384 and 8390.

LCM(8384,8390) = 26×51×1311×8391
LCM(8384,8390) = 35170880

Factors of 8384

List of positive integer factors of 8384 that divides 8384 without a remainder.

1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384

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 8384 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 8384 and 8390, than apply into the LCM equation.

GCF(8384,8390) = 2
LCM(8384,8390) = ( 8384 × 8390) / 2
LCM(8384,8390) = 70341760 / 2
LCM(8384,8390) = 35170880

Properties of LCM 8384 and 8390

(i) The LCM of 8390 and 8384 is associative

LCM of 8384 and 8390 = LCM of 8390 and 8384

Related Least Common Multiples of 8384

Related Least Common Multiples of 8390

Frequently Asked Questions on LCM of 8384 and 8390

1. What is the LCM of 8384 and 8390?

Answer: LCM of 8384 and 8390 is 35170880.

2. What are the Factors of 8384?

Answer: Factors of 8384 are 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384. There are 14 integers that are factors of 8384. The greatest factor of 8384 is 8384.

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 8384 and 8390?

Answer:

Least Common Multiple of 8384 and 8390 = 35170880

Step 1: Find the prime factorization of 8384

8384 = 2 x 2 x 2 x 2 x 2 x 2 x 131

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 = 35170880 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 131 x 839

Step 4: Therefore, the least common multiple of 8384 and 8390 is 35170880.