Least Common Multiple of 6291 and 6299

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 6299 the smallest integer that is 39627009 that is divisible by both numbers.

Least Common Multiple (LCM) of 6291 and 6299 is 39627009.

LCM(6291,6299) = 39627009

LCM of 6291 and 6299

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

LCM of:
and

Least Common Multiple of 6291 and 6299

LCM of 6291 and 6299 is 39627009

Least common multiple can be found by multiplying the highest exponent prime factors of 6291 and 6299. First we will calculate the prime factors of 6291 and 6299.

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 6299


6299 6299
1

Prime factors of 6299 are 6299. Prime factorization of 6299 in exponential form is:

6299 = 62991

Now multiplying the highest exponent prime factors to calculate the LCM of 6291 and 6299.

LCM(6291,6299) = 33×2331×62991
LCM(6291,6299) = 39627009

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 6299

List of positive integer factors of 6299 that divides 6299 without a remainder.

1, 6299

Least Common Multiple of 6291 and 6299 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 6299, than apply into the LCM equation.

GCF(6291,6299) = 1
LCM(6291,6299) = ( 6291 × 6299) / 1
LCM(6291,6299) = 39627009 / 1
LCM(6291,6299) = 39627009

Properties of LCM 6291 and 6299

(i) The LCM of 6299 and 6291 is associative

LCM of 6291 and 6299 = LCM of 6299 and 6291

Related Least Common Multiples of 6291

Related Least Common Multiples of 6299

Frequently Asked Questions on LCM of 6291 and 6299

1. What is the LCM of 6291 and 6299?

Answer: LCM of 6291 and 6299 is 39627009.

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 6299?

Answer: Factors of 6299 are 1, 6299. There are 2 integers that are factors of 6299. The greatest factor of 6299 is 6299.

4. How to Find the LCM of 6291 and 6299?

Answer:

Least Common Multiple of 6291 and 6299 = 39627009

Step 1: Find the prime factorization of 6291

6291 = 3 x 3 x 3 x 233

Step 2: Find the prime factorization of 6299

6299 = 6299

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

LCM = 39627009 = 3 x 3 x 3 x 233 x 6299

Step 4: Therefore, the least common multiple of 6291 and 6299 is 39627009.