Least Common Multiple of 6297 and 6303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6297 and 6303 the smallest integer that is 13229997 that is divisible by both numbers.

Least Common Multiple (LCM) of 6297 and 6303 is 13229997.

LCM(6297,6303) = 13229997

LCM of 6297 and 6303

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

LCM of:
and

Least Common Multiple of 6297 and 6303

LCM of 6297 and 6303 is 13229997

Least common multiple can be found by multiplying the highest exponent prime factors of 6297 and 6303. First we will calculate the prime factors of 6297 and 6303.

Prime Factorization of 6297


3 6297
2099 2099
1

Prime factors of 6297 are 3,2099. Prime factorization of 6297 in exponential form is:

6297 = 31×20991

Prime Factorization of 6303


3 6303
11 2101
191 191
1

Prime factors of 6303 are 3, 11,191. Prime factorization of 6303 in exponential form is:

6303 = 31×111×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 6297 and 6303.

LCM(6297,6303) = 31×111×1911×20991
LCM(6297,6303) = 13229997

Factors of 6297

List of positive integer factors of 6297 that divides 6297 without a remainder.

1, 3, 2099, 6297

Factors of 6303

List of positive integer factors of 6303 that divides 6303 without a remainder.

1, 3, 11, 33, 191, 573, 2101, 6303

Least Common Multiple of 6297 and 6303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6297 and 6303, than apply into the LCM equation.

GCF(6297,6303) = 3
LCM(6297,6303) = ( 6297 × 6303) / 3
LCM(6297,6303) = 39689991 / 3
LCM(6297,6303) = 13229997

Properties of LCM 6297 and 6303

(i) The LCM of 6303 and 6297 is associative

LCM of 6297 and 6303 = LCM of 6303 and 6297

Related Least Common Multiples of 6297

Related Least Common Multiples of 6303

Frequently Asked Questions on LCM of 6297 and 6303

1. What is the LCM of 6297 and 6303?

Answer: LCM of 6297 and 6303 is 13229997.

2. What are the Factors of 6297?

Answer: Factors of 6297 are 1, 3, 2099, 6297. There are 4 integers that are factors of 6297. The greatest factor of 6297 is 6297.

3. What are the Factors of 6303?

Answer: Factors of 6303 are 1, 3, 11, 33, 191, 573, 2101, 6303. There are 8 integers that are factors of 6303. The greatest factor of 6303 is 6303.

4. How to Find the LCM of 6297 and 6303?

Answer:

Least Common Multiple of 6297 and 6303 = 13229997

Step 1: Find the prime factorization of 6297

6297 = 3 x 2099

Step 2: Find the prime factorization of 6303

6303 = 3 x 11 x 191

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

LCM = 13229997 = 3 x 11 x 191 x 2099

Step 4: Therefore, the least common multiple of 6297 and 6303 is 13229997.