Least Common Multiple of 2873 and 2879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2873 and 2879 the smallest integer that is 8271367 that is divisible by both numbers.

Least Common Multiple (LCM) of 2873 and 2879 is 8271367.

LCM(2873,2879) = 8271367

LCM of 2873 and 2879

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

LCM of:
and

Least Common Multiple of 2873 and 2879

LCM of 2873 and 2879 is 8271367

Least common multiple can be found by multiplying the highest exponent prime factors of 2873 and 2879. First we will calculate the prime factors of 2873 and 2879.

Prime Factorization of 2873


13 2873
13 221
17 17
1

Prime factors of 2873 are 13,17. Prime factorization of 2873 in exponential form is:

2873 = 132×171

Prime Factorization of 2879


2879 2879
1

Prime factors of 2879 are 2879. Prime factorization of 2879 in exponential form is:

2879 = 28791

Now multiplying the highest exponent prime factors to calculate the LCM of 2873 and 2879.

LCM(2873,2879) = 132×171×28791
LCM(2873,2879) = 8271367

Factors of 2873

List of positive integer factors of 2873 that divides 2873 without a remainder.

1, 13, 17, 169, 221, 2873

Factors of 2879

List of positive integer factors of 2879 that divides 2879 without a remainder.

1, 2879

Least Common Multiple of 2873 and 2879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2873 and 2879, than apply into the LCM equation.

GCF(2873,2879) = 1
LCM(2873,2879) = ( 2873 × 2879) / 1
LCM(2873,2879) = 8271367 / 1
LCM(2873,2879) = 8271367

Properties of LCM 2873 and 2879

(i) The LCM of 2879 and 2873 is associative

LCM of 2873 and 2879 = LCM of 2879 and 2873

Related Least Common Multiples of 2873

Related Least Common Multiples of 2879

Frequently Asked Questions on LCM of 2873 and 2879

1. What is the LCM of 2873 and 2879?

Answer: LCM of 2873 and 2879 is 8271367.

2. What are the Factors of 2873?

Answer: Factors of 2873 are 1, 13, 17, 169, 221, 2873. There are 6 integers that are factors of 2873. The greatest factor of 2873 is 2873.

3. What are the Factors of 2879?

Answer: Factors of 2879 are 1, 2879. There are 2 integers that are factors of 2879. The greatest factor of 2879 is 2879.

4. How to Find the LCM of 2873 and 2879?

Answer:

Least Common Multiple of 2873 and 2879 = 8271367

Step 1: Find the prime factorization of 2873

2873 = 13 x 13 x 17

Step 2: Find the prime factorization of 2879

2879 = 2879

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

LCM = 8271367 = 13 x 13 x 17 x 2879

Step 4: Therefore, the least common multiple of 2873 and 2879 is 8271367.