Least Common Multiple of 6879 and 6885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6879 and 6885 the smallest integer that is 15787305 that is divisible by both numbers.

Least Common Multiple (LCM) of 6879 and 6885 is 15787305.

LCM(6879,6885) = 15787305

LCM of 6879 and 6885

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

LCM of:
and

Least Common Multiple of 6879 and 6885

LCM of 6879 and 6885 is 15787305

Least common multiple can be found by multiplying the highest exponent prime factors of 6879 and 6885. First we will calculate the prime factors of 6879 and 6885.

Prime Factorization of 6879


3 6879
2293 2293
1

Prime factors of 6879 are 3,2293. Prime factorization of 6879 in exponential form is:

6879 = 31×22931

Prime Factorization of 6885


3 6885
3 2295
3 765
3 255
5 85
17 17
1

Prime factors of 6885 are 3, 5,17. Prime factorization of 6885 in exponential form is:

6885 = 34×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 6879 and 6885.

LCM(6879,6885) = 34×51×171×22931
LCM(6879,6885) = 15787305

Factors of 6879

List of positive integer factors of 6879 that divides 6879 without a remainder.

1, 3, 2293, 6879

Factors of 6885

List of positive integer factors of 6885 that divides 6885 without a remainder.

1, 3, 5, 9, 15, 17, 27, 45, 51, 81, 85, 135, 153, 255, 405, 459, 765, 1377, 2295, 6885

Least Common Multiple of 6879 and 6885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6879 and 6885, than apply into the LCM equation.

GCF(6879,6885) = 3
LCM(6879,6885) = ( 6879 × 6885) / 3
LCM(6879,6885) = 47361915 / 3
LCM(6879,6885) = 15787305

Properties of LCM 6879 and 6885

(i) The LCM of 6885 and 6879 is associative

LCM of 6879 and 6885 = LCM of 6885 and 6879

Related Least Common Multiples of 6879

Related Least Common Multiples of 6885

Frequently Asked Questions on LCM of 6879 and 6885

1. What is the LCM of 6879 and 6885?

Answer: LCM of 6879 and 6885 is 15787305.

2. What are the Factors of 6879?

Answer: Factors of 6879 are 1, 3, 2293, 6879. There are 4 integers that are factors of 6879. The greatest factor of 6879 is 6879.

3. What are the Factors of 6885?

Answer: Factors of 6885 are 1, 3, 5, 9, 15, 17, 27, 45, 51, 81, 85, 135, 153, 255, 405, 459, 765, 1377, 2295, 6885. There are 20 integers that are factors of 6885. The greatest factor of 6885 is 6885.

4. How to Find the LCM of 6879 and 6885?

Answer:

Least Common Multiple of 6879 and 6885 = 15787305

Step 1: Find the prime factorization of 6879

6879 = 3 x 2293

Step 2: Find the prime factorization of 6885

6885 = 3 x 3 x 3 x 3 x 5 x 17

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

LCM = 15787305 = 3 x 3 x 3 x 3 x 5 x 17 x 2293

Step 4: Therefore, the least common multiple of 6879 and 6885 is 15787305.