Least Common Multiple of 6291 and 6297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6291 and 6297 the smallest integer that is 13204809 that is divisible by both numbers.

Least Common Multiple (LCM) of 6291 and 6297 is 13204809.

LCM(6291,6297) = 13204809

LCM of 6291 and 6297

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

LCM of:
and

Least Common Multiple of 6291 and 6297

LCM of 6291 and 6297 is 13204809

Least common multiple can be found by multiplying the highest exponent prime factors of 6291 and 6297. First we will calculate the prime factors of 6291 and 6297.

Prime Factorization of 6291


3 6291
3 2097
3 699
233 233
1

Prime factors of 6291 are 3,233. Prime factorization of 6291 in exponential form is:

6291 = 33×2331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6291 and 6297.

LCM(6291,6297) = 33×2331×20991
LCM(6291,6297) = 13204809

Factors of 6291

List of positive integer factors of 6291 that divides 6291 without a remainder.

1, 3, 9, 27, 233, 699, 2097, 6291

Factors of 6297

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

1, 3, 2099, 6297

Least Common Multiple of 6291 and 6297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6291 and 6297, than apply into the LCM equation.

GCF(6291,6297) = 3
LCM(6291,6297) = ( 6291 × 6297) / 3
LCM(6291,6297) = 39614427 / 3
LCM(6291,6297) = 13204809

Properties of LCM 6291 and 6297

(i) The LCM of 6297 and 6291 is associative

LCM of 6291 and 6297 = LCM of 6297 and 6291

Related Least Common Multiples of 6291

Related Least Common Multiples of 6297

Frequently Asked Questions on LCM of 6291 and 6297

1. What is the LCM of 6291 and 6297?

Answer: LCM of 6291 and 6297 is 13204809.

2. What are the Factors of 6291?

Answer: Factors of 6291 are 1, 3, 9, 27, 233, 699, 2097, 6291. There are 8 integers that are factors of 6291. The greatest factor of 6291 is 6291.

3. 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.

4. How to Find the LCM of 6291 and 6297?

Answer:

Least Common Multiple of 6291 and 6297 = 13204809

Step 1: Find the prime factorization of 6291

6291 = 3 x 3 x 3 x 233

Step 2: Find the prime factorization of 6297

6297 = 3 x 2099

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

LCM = 13204809 = 3 x 3 x 3 x 233 x 2099

Step 4: Therefore, the least common multiple of 6291 and 6297 is 13204809.