Least Common Multiple of 2873 and 2880

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 2880 the smallest integer that is 8274240 that is divisible by both numbers.

Least Common Multiple (LCM) of 2873 and 2880 is 8274240.

LCM(2873,2880) = 8274240

LCM of 2873 and 2880

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

LCM of:
and

Least Common Multiple of 2873 and 2880

LCM of 2873 and 2880 is 8274240

Least common multiple can be found by multiplying the highest exponent prime factors of 2873 and 2880. First we will calculate the prime factors of 2873 and 2880.

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 2880


2 2880
2 1440
2 720
2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 2880 are 2, 3,5. Prime factorization of 2880 in exponential form is:

2880 = 26×32×51

Now multiplying the highest exponent prime factors to calculate the LCM of 2873 and 2880.

LCM(2873,2880) = 26×32×51×132×171
LCM(2873,2880) = 8274240

Factors of 2873

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

1, 13, 17, 169, 221, 2873

Factors of 2880

List of positive integer factors of 2880 that divides 2880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880

Least Common Multiple of 2873 and 2880 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 2880, than apply into the LCM equation.

GCF(2873,2880) = 1
LCM(2873,2880) = ( 2873 × 2880) / 1
LCM(2873,2880) = 8274240 / 1
LCM(2873,2880) = 8274240

Properties of LCM 2873 and 2880

(i) The LCM of 2880 and 2873 is associative

LCM of 2873 and 2880 = LCM of 2880 and 2873

Related Least Common Multiples of 2873

Related Least Common Multiples of 2880

Frequently Asked Questions on LCM of 2873 and 2880

1. What is the LCM of 2873 and 2880?

Answer: LCM of 2873 and 2880 is 8274240.

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 2880?

Answer: Factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880. There are 42 integers that are factors of 2880. The greatest factor of 2880 is 2880.

4. How to Find the LCM of 2873 and 2880?

Answer:

Least Common Multiple of 2873 and 2880 = 8274240

Step 1: Find the prime factorization of 2873

2873 = 13 x 13 x 17

Step 2: Find the prime factorization of 2880

2880 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5

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

LCM = 8274240 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 13 x 17

Step 4: Therefore, the least common multiple of 2873 and 2880 is 8274240.