Least Common Multiple of 2872 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 2872 and 2880 the smallest integer that is 1033920 that is divisible by both numbers.

Least Common Multiple (LCM) of 2872 and 2880 is 1033920.

LCM(2872,2880) = 1033920

LCM of 2872 and 2880

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

LCM of:
and

Least Common Multiple of 2872 and 2880

LCM of 2872 and 2880 is 1033920

Least common multiple can be found by multiplying the highest exponent prime factors of 2872 and 2880. First we will calculate the prime factors of 2872 and 2880.

Prime Factorization of 2872


2 2872
2 1436
2 718
359 359
1

Prime factors of 2872 are 2,359. Prime factorization of 2872 in exponential form is:

2872 = 23×3591

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 2872 and 2880.

LCM(2872,2880) = 26×32×51×3591
LCM(2872,2880) = 1033920

Factors of 2872

List of positive integer factors of 2872 that divides 2872 without a remainder.

1, 2, 4, 8, 359, 718, 1436, 2872

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 2872 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 2872 and 2880, than apply into the LCM equation.

GCF(2872,2880) = 8
LCM(2872,2880) = ( 2872 × 2880) / 8
LCM(2872,2880) = 8271360 / 8
LCM(2872,2880) = 1033920

Properties of LCM 2872 and 2880

(i) The LCM of 2880 and 2872 is associative

LCM of 2872 and 2880 = LCM of 2880 and 2872

Related Least Common Multiples of 2872

Related Least Common Multiples of 2880

Frequently Asked Questions on LCM of 2872 and 2880

1. What is the LCM of 2872 and 2880?

Answer: LCM of 2872 and 2880 is 1033920.

2. What are the Factors of 2872?

Answer: Factors of 2872 are 1, 2, 4, 8, 359, 718, 1436, 2872. There are 8 integers that are factors of 2872. The greatest factor of 2872 is 2872.

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 2872 and 2880?

Answer:

Least Common Multiple of 2872 and 2880 = 1033920

Step 1: Find the prime factorization of 2872

2872 = 2 x 2 x 2 x 359

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 = 1033920 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 359

Step 4: Therefore, the least common multiple of 2872 and 2880 is 1033920.