Least Common Multiple of 2868 and 2873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2868 and 2873 the smallest integer that is 8239764 that is divisible by both numbers.

Least Common Multiple (LCM) of 2868 and 2873 is 8239764.

LCM(2868,2873) = 8239764

LCM of 2868 and 2873

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

LCM of:
and

Least Common Multiple of 2868 and 2873

LCM of 2868 and 2873 is 8239764

Least common multiple can be found by multiplying the highest exponent prime factors of 2868 and 2873. First we will calculate the prime factors of 2868 and 2873.

Prime Factorization of 2868


2 2868
2 1434
3 717
239 239
1

Prime factors of 2868 are 2, 3,239. Prime factorization of 2868 in exponential form is:

2868 = 22×31×2391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2868 and 2873.

LCM(2868,2873) = 22×31×132×171×2391
LCM(2868,2873) = 8239764

Factors of 2868

List of positive integer factors of 2868 that divides 2868 without a remainder.

1, 2, 3, 4, 6, 12, 239, 478, 717, 956, 1434, 2868

Factors of 2873

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

1, 13, 17, 169, 221, 2873

Least Common Multiple of 2868 and 2873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2868 and 2873, than apply into the LCM equation.

GCF(2868,2873) = 1
LCM(2868,2873) = ( 2868 × 2873) / 1
LCM(2868,2873) = 8239764 / 1
LCM(2868,2873) = 8239764

Properties of LCM 2868 and 2873

(i) The LCM of 2873 and 2868 is associative

LCM of 2868 and 2873 = LCM of 2873 and 2868

Related Least Common Multiples of 2868

Related Least Common Multiples of 2873

Frequently Asked Questions on LCM of 2868 and 2873

1. What is the LCM of 2868 and 2873?

Answer: LCM of 2868 and 2873 is 8239764.

2. What are the Factors of 2868?

Answer: Factors of 2868 are 1, 2, 3, 4, 6, 12, 239, 478, 717, 956, 1434, 2868. There are 12 integers that are factors of 2868. The greatest factor of 2868 is 2868.

3. 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.

4. How to Find the LCM of 2868 and 2873?

Answer:

Least Common Multiple of 2868 and 2873 = 8239764

Step 1: Find the prime factorization of 2868

2868 = 2 x 2 x 3 x 239

Step 2: Find the prime factorization of 2873

2873 = 13 x 13 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 = 8239764 = 2 x 2 x 3 x 13 x 13 x 17 x 239

Step 4: Therefore, the least common multiple of 2868 and 2873 is 8239764.