Least Common Multiple of 8348 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 8348 and 8353 the smallest integer that is 69730844 that is divisible by both numbers.

Least Common Multiple (LCM) of 8348 and 8353 is 69730844.

LCM(8348,8353) = 69730844

LCM of 8348 and 8353

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

LCM of:
and

Least Common Multiple of 8348 and 8353

LCM of 8348 and 8353 is 69730844

Least common multiple can be found by multiplying the highest exponent prime factors of 8348 and 8353. First we will calculate the prime factors of 8348 and 8353.

Prime Factorization of 8348


2 8348
2 4174
2087 2087
1

Prime factors of 8348 are 2,2087. Prime factorization of 8348 in exponential form is:

8348 = 22×20871

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 8348 and 8353.

LCM(8348,8353) = 22×20871×83531
LCM(8348,8353) = 69730844

Factors of 8348

List of positive integer factors of 8348 that divides 8348 without a remainder.

1, 2, 4, 2087, 4174, 8348

Factors of 8353

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

1, 8353

Least Common Multiple of 8348 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 8348 and 8353, than apply into the LCM equation.

GCF(8348,8353) = 1
LCM(8348,8353) = ( 8348 × 8353) / 1
LCM(8348,8353) = 69730844 / 1
LCM(8348,8353) = 69730844

Properties of LCM 8348 and 8353

(i) The LCM of 8353 and 8348 is associative

LCM of 8348 and 8353 = LCM of 8353 and 8348

Related Least Common Multiples of 8348

Related Least Common Multiples of 8353

Frequently Asked Questions on LCM of 8348 and 8353

1. What is the LCM of 8348 and 8353?

Answer: LCM of 8348 and 8353 is 69730844.

2. What are the Factors of 8348?

Answer: Factors of 8348 are 1, 2, 4, 2087, 4174, 8348. There are 6 integers that are factors of 8348. The greatest factor of 8348 is 8348.

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 8348 and 8353?

Answer:

Least Common Multiple of 8348 and 8353 = 69730844

Step 1: Find the prime factorization of 8348

8348 = 2 x 2 x 2087

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 = 69730844 = 2 x 2 x 2087 x 8353

Step 4: Therefore, the least common multiple of 8348 and 8353 is 69730844.