Least Common Multiple of 6879 and 6884

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 6884 the smallest integer that is 47355036 that is divisible by both numbers.

Least Common Multiple (LCM) of 6879 and 6884 is 47355036.

LCM(6879,6884) = 47355036

LCM of 6879 and 6884

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

LCM of:
and

Least Common Multiple of 6879 and 6884

LCM of 6879 and 6884 is 47355036

Least common multiple can be found by multiplying the highest exponent prime factors of 6879 and 6884. First we will calculate the prime factors of 6879 and 6884.

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 6884


2 6884
2 3442
1721 1721
1

Prime factors of 6884 are 2,1721. Prime factorization of 6884 in exponential form is:

6884 = 22×17211

Now multiplying the highest exponent prime factors to calculate the LCM of 6879 and 6884.

LCM(6879,6884) = 22×31×17211×22931
LCM(6879,6884) = 47355036

Factors of 6879

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

1, 3, 2293, 6879

Factors of 6884

List of positive integer factors of 6884 that divides 6884 without a remainder.

1, 2, 4, 1721, 3442, 6884

Least Common Multiple of 6879 and 6884 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 6884, than apply into the LCM equation.

GCF(6879,6884) = 1
LCM(6879,6884) = ( 6879 × 6884) / 1
LCM(6879,6884) = 47355036 / 1
LCM(6879,6884) = 47355036

Properties of LCM 6879 and 6884

(i) The LCM of 6884 and 6879 is associative

LCM of 6879 and 6884 = LCM of 6884 and 6879

Related Least Common Multiples of 6879

Related Least Common Multiples of 6884

Frequently Asked Questions on LCM of 6879 and 6884

1. What is the LCM of 6879 and 6884?

Answer: LCM of 6879 and 6884 is 47355036.

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 6884?

Answer: Factors of 6884 are 1, 2, 4, 1721, 3442, 6884. There are 6 integers that are factors of 6884. The greatest factor of 6884 is 6884.

4. How to Find the LCM of 6879 and 6884?

Answer:

Least Common Multiple of 6879 and 6884 = 47355036

Step 1: Find the prime factorization of 6879

6879 = 3 x 2293

Step 2: Find the prime factorization of 6884

6884 = 2 x 2 x 1721

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

LCM = 47355036 = 2 x 2 x 3 x 1721 x 2293

Step 4: Therefore, the least common multiple of 6879 and 6884 is 47355036.