Least Common Multiple of 2856 and 2859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2856 and 2859 the smallest integer that is 2721768 that is divisible by both numbers.

Least Common Multiple (LCM) of 2856 and 2859 is 2721768.

LCM(2856,2859) = 2721768

LCM of 2856 and 2859

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

LCM of:
and

Least Common Multiple of 2856 and 2859

LCM of 2856 and 2859 is 2721768

Least common multiple can be found by multiplying the highest exponent prime factors of 2856 and 2859. First we will calculate the prime factors of 2856 and 2859.

Prime Factorization of 2856


2 2856
2 1428
2 714
3 357
7 119
17 17
1

Prime factors of 2856 are 2, 3, 7,17. Prime factorization of 2856 in exponential form is:

2856 = 23×31×71×171

Prime Factorization of 2859


3 2859
953 953
1

Prime factors of 2859 are 3,953. Prime factorization of 2859 in exponential form is:

2859 = 31×9531

Now multiplying the highest exponent prime factors to calculate the LCM of 2856 and 2859.

LCM(2856,2859) = 23×31×71×171×9531
LCM(2856,2859) = 2721768

Factors of 2856

List of positive integer factors of 2856 that divides 2856 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 357, 408, 476, 714, 952, 1428, 2856

Factors of 2859

List of positive integer factors of 2859 that divides 2859 without a remainder.

1, 3, 953, 2859

Least Common Multiple of 2856 and 2859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2856 and 2859, than apply into the LCM equation.

GCF(2856,2859) = 3
LCM(2856,2859) = ( 2856 × 2859) / 3
LCM(2856,2859) = 8165304 / 3
LCM(2856,2859) = 2721768

Properties of LCM 2856 and 2859

(i) The LCM of 2859 and 2856 is associative

LCM of 2856 and 2859 = LCM of 2859 and 2856

Related Least Common Multiples of 2856

Related Least Common Multiples of 2859

Frequently Asked Questions on LCM of 2856 and 2859

1. What is the LCM of 2856 and 2859?

Answer: LCM of 2856 and 2859 is 2721768.

2. What are the Factors of 2856?

Answer: Factors of 2856 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 357, 408, 476, 714, 952, 1428, 2856. There are 32 integers that are factors of 2856. The greatest factor of 2856 is 2856.

3. What are the Factors of 2859?

Answer: Factors of 2859 are 1, 3, 953, 2859. There are 4 integers that are factors of 2859. The greatest factor of 2859 is 2859.

4. How to Find the LCM of 2856 and 2859?

Answer:

Least Common Multiple of 2856 and 2859 = 2721768

Step 1: Find the prime factorization of 2856

2856 = 2 x 2 x 2 x 3 x 7 x 17

Step 2: Find the prime factorization of 2859

2859 = 3 x 953

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

LCM = 2721768 = 2 x 2 x 2 x 3 x 7 x 17 x 953

Step 4: Therefore, the least common multiple of 2856 and 2859 is 2721768.