Least Common Multiple of 6874 and 6879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6874 and 6879 the smallest integer that is 47286246 that is divisible by both numbers.

Least Common Multiple (LCM) of 6874 and 6879 is 47286246.

LCM(6874,6879) = 47286246

LCM of 6874 and 6879

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

LCM of:
and

Least Common Multiple of 6874 and 6879

LCM of 6874 and 6879 is 47286246

Least common multiple can be found by multiplying the highest exponent prime factors of 6874 and 6879. First we will calculate the prime factors of 6874 and 6879.

Prime Factorization of 6874


2 6874
7 3437
491 491
1

Prime factors of 6874 are 2, 7,491. Prime factorization of 6874 in exponential form is:

6874 = 21×71×4911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6874 and 6879.

LCM(6874,6879) = 21×31×71×4911×22931
LCM(6874,6879) = 47286246

Factors of 6874

List of positive integer factors of 6874 that divides 6874 without a remainder.

1, 2, 7, 14, 491, 982, 3437, 6874

Factors of 6879

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

1, 3, 2293, 6879

Least Common Multiple of 6874 and 6879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6874 and 6879, than apply into the LCM equation.

GCF(6874,6879) = 1
LCM(6874,6879) = ( 6874 × 6879) / 1
LCM(6874,6879) = 47286246 / 1
LCM(6874,6879) = 47286246

Properties of LCM 6874 and 6879

(i) The LCM of 6879 and 6874 is associative

LCM of 6874 and 6879 = LCM of 6879 and 6874

Related Least Common Multiples of 6874

Related Least Common Multiples of 6879

Frequently Asked Questions on LCM of 6874 and 6879

1. What is the LCM of 6874 and 6879?

Answer: LCM of 6874 and 6879 is 47286246.

2. What are the Factors of 6874?

Answer: Factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874. There are 8 integers that are factors of 6874. The greatest factor of 6874 is 6874.

3. 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.

4. How to Find the LCM of 6874 and 6879?

Answer:

Least Common Multiple of 6874 and 6879 = 47286246

Step 1: Find the prime factorization of 6874

6874 = 2 x 7 x 491

Step 2: Find the prime factorization of 6879

6879 = 3 x 2293

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

LCM = 47286246 = 2 x 3 x 7 x 491 x 2293

Step 4: Therefore, the least common multiple of 6874 and 6879 is 47286246.