Least Common Multiple of 8383 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 8383 and 8389 the smallest integer that is 70324987 that is divisible by both numbers.

Least Common Multiple (LCM) of 8383 and 8389 is 70324987.

LCM(8383,8389) = 70324987

LCM of 8383 and 8389

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

LCM of:
and

Least Common Multiple of 8383 and 8389

LCM of 8383 and 8389 is 70324987

Least common multiple can be found by multiplying the highest exponent prime factors of 8383 and 8389. First we will calculate the prime factors of 8383 and 8389.

Prime Factorization of 8383


83 8383
101 101
1

Prime factors of 8383 are 83,101. Prime factorization of 8383 in exponential form is:

8383 = 831×1011

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 8383 and 8389.

LCM(8383,8389) = 831×1011×83891
LCM(8383,8389) = 70324987

Factors of 8383

List of positive integer factors of 8383 that divides 8383 without a remainder.

1, 83, 101, 8383

Factors of 8389

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

1, 8389

Least Common Multiple of 8383 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 8383 and 8389, than apply into the LCM equation.

GCF(8383,8389) = 1
LCM(8383,8389) = ( 8383 × 8389) / 1
LCM(8383,8389) = 70324987 / 1
LCM(8383,8389) = 70324987

Properties of LCM 8383 and 8389

(i) The LCM of 8389 and 8383 is associative

LCM of 8383 and 8389 = LCM of 8389 and 8383

Related Least Common Multiples of 8383

Related Least Common Multiples of 8389

Frequently Asked Questions on LCM of 8383 and 8389

1. What is the LCM of 8383 and 8389?

Answer: LCM of 8383 and 8389 is 70324987.

2. What are the Factors of 8383?

Answer: Factors of 8383 are 1, 83, 101, 8383. There are 4 integers that are factors of 8383. The greatest factor of 8383 is 8383.

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 8383 and 8389?

Answer:

Least Common Multiple of 8383 and 8389 = 70324987

Step 1: Find the prime factorization of 8383

8383 = 83 x 101

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 = 70324987 = 83 x 101 x 8389

Step 4: Therefore, the least common multiple of 8383 and 8389 is 70324987.