Least Common Multiple of 6357 and 6363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6357 and 6363 the smallest integer that is 13483197 that is divisible by both numbers.

Least Common Multiple (LCM) of 6357 and 6363 is 13483197.

LCM(6357,6363) = 13483197

LCM of 6357 and 6363

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

LCM of:
and

Least Common Multiple of 6357 and 6363

LCM of 6357 and 6363 is 13483197

Least common multiple can be found by multiplying the highest exponent prime factors of 6357 and 6363. First we will calculate the prime factors of 6357 and 6363.

Prime Factorization of 6357


3 6357
13 2119
163 163
1

Prime factors of 6357 are 3, 13,163. Prime factorization of 6357 in exponential form is:

6357 = 31×131×1631

Prime Factorization of 6363


3 6363
3 2121
7 707
101 101
1

Prime factors of 6363 are 3, 7,101. Prime factorization of 6363 in exponential form is:

6363 = 32×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6357 and 6363.

LCM(6357,6363) = 32×71×131×1011×1631
LCM(6357,6363) = 13483197

Factors of 6357

List of positive integer factors of 6357 that divides 6357 without a remainder.

1, 3, 13, 39, 163, 489, 2119, 6357

Factors of 6363

List of positive integer factors of 6363 that divides 6363 without a remainder.

1, 3, 7, 9, 21, 63, 101, 303, 707, 909, 2121, 6363

Least Common Multiple of 6357 and 6363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6357 and 6363, than apply into the LCM equation.

GCF(6357,6363) = 3
LCM(6357,6363) = ( 6357 × 6363) / 3
LCM(6357,6363) = 40449591 / 3
LCM(6357,6363) = 13483197

Properties of LCM 6357 and 6363

(i) The LCM of 6363 and 6357 is associative

LCM of 6357 and 6363 = LCM of 6363 and 6357

Related Least Common Multiples of 6357

Related Least Common Multiples of 6363

Frequently Asked Questions on LCM of 6357 and 6363

1. What is the LCM of 6357 and 6363?

Answer: LCM of 6357 and 6363 is 13483197.

2. What are the Factors of 6357?

Answer: Factors of 6357 are 1, 3, 13, 39, 163, 489, 2119, 6357. There are 8 integers that are factors of 6357. The greatest factor of 6357 is 6357.

3. What are the Factors of 6363?

Answer: Factors of 6363 are 1, 3, 7, 9, 21, 63, 101, 303, 707, 909, 2121, 6363. There are 12 integers that are factors of 6363. The greatest factor of 6363 is 6363.

4. How to Find the LCM of 6357 and 6363?

Answer:

Least Common Multiple of 6357 and 6363 = 13483197

Step 1: Find the prime factorization of 6357

6357 = 3 x 13 x 163

Step 2: Find the prime factorization of 6363

6363 = 3 x 3 x 7 x 101

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

LCM = 13483197 = 3 x 3 x 7 x 13 x 101 x 163

Step 4: Therefore, the least common multiple of 6357 and 6363 is 13483197.