Least Common Multiple of 6291 and 6294

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 6294 the smallest integer that is 13198518 that is divisible by both numbers.

Least Common Multiple (LCM) of 6291 and 6294 is 13198518.

LCM(6291,6294) = 13198518

LCM of 6291 and 6294

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

LCM of:
and

Least Common Multiple of 6291 and 6294

LCM of 6291 and 6294 is 13198518

Least common multiple can be found by multiplying the highest exponent prime factors of 6291 and 6294. First we will calculate the prime factors of 6291 and 6294.

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 6294


2 6294
3 3147
1049 1049
1

Prime factors of 6294 are 2, 3,1049. Prime factorization of 6294 in exponential form is:

6294 = 21×31×10491

Now multiplying the highest exponent prime factors to calculate the LCM of 6291 and 6294.

LCM(6291,6294) = 21×33×2331×10491
LCM(6291,6294) = 13198518

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 6294

List of positive integer factors of 6294 that divides 6294 without a remainder.

1, 2, 3, 6, 1049, 2098, 3147, 6294

Least Common Multiple of 6291 and 6294 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 6294, than apply into the LCM equation.

GCF(6291,6294) = 3
LCM(6291,6294) = ( 6291 × 6294) / 3
LCM(6291,6294) = 39595554 / 3
LCM(6291,6294) = 13198518

Properties of LCM 6291 and 6294

(i) The LCM of 6294 and 6291 is associative

LCM of 6291 and 6294 = LCM of 6294 and 6291

Related Least Common Multiples of 6291

Related Least Common Multiples of 6294

Frequently Asked Questions on LCM of 6291 and 6294

1. What is the LCM of 6291 and 6294?

Answer: LCM of 6291 and 6294 is 13198518.

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 6294?

Answer: Factors of 6294 are 1, 2, 3, 6, 1049, 2098, 3147, 6294. There are 8 integers that are factors of 6294. The greatest factor of 6294 is 6294.

4. How to Find the LCM of 6291 and 6294?

Answer:

Least Common Multiple of 6291 and 6294 = 13198518

Step 1: Find the prime factorization of 6291

6291 = 3 x 3 x 3 x 233

Step 2: Find the prime factorization of 6294

6294 = 2 x 3 x 1049

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

LCM = 13198518 = 2 x 3 x 3 x 3 x 233 x 1049

Step 4: Therefore, the least common multiple of 6291 and 6294 is 13198518.