Least Common Multiple of 8356 and 8359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8356 and 8359 the smallest integer that is 69847804 that is divisible by both numbers.

Least Common Multiple (LCM) of 8356 and 8359 is 69847804.

LCM(8356,8359) = 69847804

LCM of 8356 and 8359

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

LCM of:
and

Least Common Multiple of 8356 and 8359

LCM of 8356 and 8359 is 69847804

Least common multiple can be found by multiplying the highest exponent prime factors of 8356 and 8359. First we will calculate the prime factors of 8356 and 8359.

Prime Factorization of 8356


2 8356
2 4178
2089 2089
1

Prime factors of 8356 are 2,2089. Prime factorization of 8356 in exponential form is:

8356 = 22×20891

Prime Factorization of 8359


13 8359
643 643
1

Prime factors of 8359 are 13,643. Prime factorization of 8359 in exponential form is:

8359 = 131×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 8356 and 8359.

LCM(8356,8359) = 22×131×6431×20891
LCM(8356,8359) = 69847804

Factors of 8356

List of positive integer factors of 8356 that divides 8356 without a remainder.

1, 2, 4, 2089, 4178, 8356

Factors of 8359

List of positive integer factors of 8359 that divides 8359 without a remainder.

1, 13, 643, 8359

Least Common Multiple of 8356 and 8359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8356 and 8359, than apply into the LCM equation.

GCF(8356,8359) = 1
LCM(8356,8359) = ( 8356 × 8359) / 1
LCM(8356,8359) = 69847804 / 1
LCM(8356,8359) = 69847804

Properties of LCM 8356 and 8359

(i) The LCM of 8359 and 8356 is associative

LCM of 8356 and 8359 = LCM of 8359 and 8356

Related Least Common Multiples of 8356

Related Least Common Multiples of 8359

Frequently Asked Questions on LCM of 8356 and 8359

1. What is the LCM of 8356 and 8359?

Answer: LCM of 8356 and 8359 is 69847804.

2. What are the Factors of 8356?

Answer: Factors of 8356 are 1, 2, 4, 2089, 4178, 8356. There are 6 integers that are factors of 8356. The greatest factor of 8356 is 8356.

3. What are the Factors of 8359?

Answer: Factors of 8359 are 1, 13, 643, 8359. There are 4 integers that are factors of 8359. The greatest factor of 8359 is 8359.

4. How to Find the LCM of 8356 and 8359?

Answer:

Least Common Multiple of 8356 and 8359 = 69847804

Step 1: Find the prime factorization of 8356

8356 = 2 x 2 x 2089

Step 2: Find the prime factorization of 8359

8359 = 13 x 643

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

LCM = 69847804 = 2 x 2 x 13 x 643 x 2089

Step 4: Therefore, the least common multiple of 8356 and 8359 is 69847804.