Least Common Multiple of 8384 and 8389

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 8389 the smallest integer that is 70333376 that is divisible by both numbers.

Least Common Multiple (LCM) of 8384 and 8389 is 70333376.

LCM(8384,8389) = 70333376

LCM of 8384 and 8389

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

LCM of:
and

Least Common Multiple of 8384 and 8389

LCM of 8384 and 8389 is 70333376

Least common multiple can be found by multiplying the highest exponent prime factors of 8384 and 8389. First we will calculate the prime factors of 8384 and 8389.

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 8389


8389 8389
1

Prime factors of 8389 are 8389. Prime factorization of 8389 in exponential form is:

8389 = 83891

Now multiplying the highest exponent prime factors to calculate the LCM of 8384 and 8389.

LCM(8384,8389) = 26×1311×83891
LCM(8384,8389) = 70333376

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 8389

List of positive integer factors of 8389 that divides 8389 without a remainder.

1, 8389

Least Common Multiple of 8384 and 8389 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 8389, than apply into the LCM equation.

GCF(8384,8389) = 1
LCM(8384,8389) = ( 8384 × 8389) / 1
LCM(8384,8389) = 70333376 / 1
LCM(8384,8389) = 70333376

Properties of LCM 8384 and 8389

(i) The LCM of 8389 and 8384 is associative

LCM of 8384 and 8389 = LCM of 8389 and 8384

Related Least Common Multiples of 8384

Related Least Common Multiples of 8389

Frequently Asked Questions on LCM of 8384 and 8389

1. What is the LCM of 8384 and 8389?

Answer: LCM of 8384 and 8389 is 70333376.

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 8389?

Answer: Factors of 8389 are 1, 8389. There are 2 integers that are factors of 8389. The greatest factor of 8389 is 8389.

4. How to Find the LCM of 8384 and 8389?

Answer:

Least Common Multiple of 8384 and 8389 = 70333376

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 8389

8389 = 8389

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

LCM = 70333376 = 2 x 2 x 2 x 2 x 2 x 2 x 131 x 8389

Step 4: Therefore, the least common multiple of 8384 and 8389 is 70333376.