Least Common Multiple of 6285 and 6291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6285 and 6291 the smallest integer that is 13179645 that is divisible by both numbers.

Least Common Multiple (LCM) of 6285 and 6291 is 13179645.

LCM(6285,6291) = 13179645

LCM of 6285 and 6291

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

LCM of:
and

Least Common Multiple of 6285 and 6291

LCM of 6285 and 6291 is 13179645

Least common multiple can be found by multiplying the highest exponent prime factors of 6285 and 6291. First we will calculate the prime factors of 6285 and 6291.

Prime Factorization of 6285


3 6285
5 2095
419 419
1

Prime factors of 6285 are 3, 5,419. Prime factorization of 6285 in exponential form is:

6285 = 31×51×4191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6285 and 6291.

LCM(6285,6291) = 33×51×2331×4191
LCM(6285,6291) = 13179645

Factors of 6285

List of positive integer factors of 6285 that divides 6285 without a remainder.

1, 3, 5, 15, 419, 1257, 2095, 6285

Factors of 6291

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

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

Least Common Multiple of 6285 and 6291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6285 and 6291, than apply into the LCM equation.

GCF(6285,6291) = 3
LCM(6285,6291) = ( 6285 × 6291) / 3
LCM(6285,6291) = 39538935 / 3
LCM(6285,6291) = 13179645

Properties of LCM 6285 and 6291

(i) The LCM of 6291 and 6285 is associative

LCM of 6285 and 6291 = LCM of 6291 and 6285

Related Least Common Multiples of 6285

Related Least Common Multiples of 6291

Frequently Asked Questions on LCM of 6285 and 6291

1. What is the LCM of 6285 and 6291?

Answer: LCM of 6285 and 6291 is 13179645.

2. What are the Factors of 6285?

Answer: Factors of 6285 are 1, 3, 5, 15, 419, 1257, 2095, 6285. There are 8 integers that are factors of 6285. The greatest factor of 6285 is 6285.

3. 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.

4. How to Find the LCM of 6285 and 6291?

Answer:

Least Common Multiple of 6285 and 6291 = 13179645

Step 1: Find the prime factorization of 6285

6285 = 3 x 5 x 419

Step 2: Find the prime factorization of 6291

6291 = 3 x 3 x 3 x 233

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

LCM = 13179645 = 3 x 3 x 3 x 5 x 233 x 419

Step 4: Therefore, the least common multiple of 6285 and 6291 is 13179645.