Least Common Multiple of 8357 and 8363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8357 and 8363 the smallest integer that is 69889591 that is divisible by both numbers.

Least Common Multiple (LCM) of 8357 and 8363 is 69889591.

LCM(8357,8363) = 69889591

LCM of 8357 and 8363

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

LCM of:
and

Least Common Multiple of 8357 and 8363

LCM of 8357 and 8363 is 69889591

Least common multiple can be found by multiplying the highest exponent prime factors of 8357 and 8363. First we will calculate the prime factors of 8357 and 8363.

Prime Factorization of 8357


61 8357
137 137
1

Prime factors of 8357 are 61,137. Prime factorization of 8357 in exponential form is:

8357 = 611×1371

Prime Factorization of 8363


8363 8363
1

Prime factors of 8363 are 8363. Prime factorization of 8363 in exponential form is:

8363 = 83631

Now multiplying the highest exponent prime factors to calculate the LCM of 8357 and 8363.

LCM(8357,8363) = 611×1371×83631
LCM(8357,8363) = 69889591

Factors of 8357

List of positive integer factors of 8357 that divides 8357 without a remainder.

1, 61, 137, 8357

Factors of 8363

List of positive integer factors of 8363 that divides 8363 without a remainder.

1, 8363

Least Common Multiple of 8357 and 8363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8357 and 8363, than apply into the LCM equation.

GCF(8357,8363) = 1
LCM(8357,8363) = ( 8357 × 8363) / 1
LCM(8357,8363) = 69889591 / 1
LCM(8357,8363) = 69889591

Properties of LCM 8357 and 8363

(i) The LCM of 8363 and 8357 is associative

LCM of 8357 and 8363 = LCM of 8363 and 8357

Related Least Common Multiples of 8357

Related Least Common Multiples of 8363

Frequently Asked Questions on LCM of 8357 and 8363

1. What is the LCM of 8357 and 8363?

Answer: LCM of 8357 and 8363 is 69889591.

2. What are the Factors of 8357?

Answer: Factors of 8357 are 1, 61, 137, 8357. There are 4 integers that are factors of 8357. The greatest factor of 8357 is 8357.

3. What are the Factors of 8363?

Answer: Factors of 8363 are 1, 8363. There are 2 integers that are factors of 8363. The greatest factor of 8363 is 8363.

4. How to Find the LCM of 8357 and 8363?

Answer:

Least Common Multiple of 8357 and 8363 = 69889591

Step 1: Find the prime factorization of 8357

8357 = 61 x 137

Step 2: Find the prime factorization of 8363

8363 = 8363

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

LCM = 69889591 = 61 x 137 x 8363

Step 4: Therefore, the least common multiple of 8357 and 8363 is 69889591.