Least Common Multiple of 8345 and 8353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8345 and 8353 the smallest integer that is 69705785 that is divisible by both numbers.

Least Common Multiple (LCM) of 8345 and 8353 is 69705785.

LCM(8345,8353) = 69705785

LCM of 8345 and 8353

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

LCM of:
and

Least Common Multiple of 8345 and 8353

LCM of 8345 and 8353 is 69705785

Least common multiple can be found by multiplying the highest exponent prime factors of 8345 and 8353. First we will calculate the prime factors of 8345 and 8353.

Prime Factorization of 8345


5 8345
1669 1669
1

Prime factors of 8345 are 5,1669. Prime factorization of 8345 in exponential form is:

8345 = 51×16691

Prime Factorization of 8353


8353 8353
1

Prime factors of 8353 are 8353. Prime factorization of 8353 in exponential form is:

8353 = 83531

Now multiplying the highest exponent prime factors to calculate the LCM of 8345 and 8353.

LCM(8345,8353) = 51×16691×83531
LCM(8345,8353) = 69705785

Factors of 8345

List of positive integer factors of 8345 that divides 8345 without a remainder.

1, 5, 1669, 8345

Factors of 8353

List of positive integer factors of 8353 that divides 8353 without a remainder.

1, 8353

Least Common Multiple of 8345 and 8353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8345 and 8353, than apply into the LCM equation.

GCF(8345,8353) = 1
LCM(8345,8353) = ( 8345 × 8353) / 1
LCM(8345,8353) = 69705785 / 1
LCM(8345,8353) = 69705785

Properties of LCM 8345 and 8353

(i) The LCM of 8353 and 8345 is associative

LCM of 8345 and 8353 = LCM of 8353 and 8345

Related Least Common Multiples of 8345

Related Least Common Multiples of 8353

Frequently Asked Questions on LCM of 8345 and 8353

1. What is the LCM of 8345 and 8353?

Answer: LCM of 8345 and 8353 is 69705785.

2. What are the Factors of 8345?

Answer: Factors of 8345 are 1, 5, 1669, 8345. There are 4 integers that are factors of 8345. The greatest factor of 8345 is 8345.

3. What are the Factors of 8353?

Answer: Factors of 8353 are 1, 8353. There are 2 integers that are factors of 8353. The greatest factor of 8353 is 8353.

4. How to Find the LCM of 8345 and 8353?

Answer:

Least Common Multiple of 8345 and 8353 = 69705785

Step 1: Find the prime factorization of 8345

8345 = 5 x 1669

Step 2: Find the prime factorization of 8353

8353 = 8353

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

LCM = 69705785 = 5 x 1669 x 8353

Step 4: Therefore, the least common multiple of 8345 and 8353 is 69705785.