Least Common Multiple of 2851 and 2856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2851 and 2856 the smallest integer that is 8142456 that is divisible by both numbers.

Least Common Multiple (LCM) of 2851 and 2856 is 8142456.

LCM(2851,2856) = 8142456

LCM of 2851 and 2856

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

LCM of:
and

Least Common Multiple of 2851 and 2856

LCM of 2851 and 2856 is 8142456

Least common multiple can be found by multiplying the highest exponent prime factors of 2851 and 2856. First we will calculate the prime factors of 2851 and 2856.

Prime Factorization of 2851


2851 2851
1

Prime factors of 2851 are 2851. Prime factorization of 2851 in exponential form is:

2851 = 28511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2851 and 2856.

LCM(2851,2856) = 23×31×71×171×28511
LCM(2851,2856) = 8142456

Factors of 2851

List of positive integer factors of 2851 that divides 2851 without a remainder.

1, 2851

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

Least Common Multiple of 2851 and 2856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2851 and 2856, than apply into the LCM equation.

GCF(2851,2856) = 1
LCM(2851,2856) = ( 2851 × 2856) / 1
LCM(2851,2856) = 8142456 / 1
LCM(2851,2856) = 8142456

Properties of LCM 2851 and 2856

(i) The LCM of 2856 and 2851 is associative

LCM of 2851 and 2856 = LCM of 2856 and 2851

Related Least Common Multiples of 2851

Related Least Common Multiples of 2856

Frequently Asked Questions on LCM of 2851 and 2856

1. What is the LCM of 2851 and 2856?

Answer: LCM of 2851 and 2856 is 8142456.

2. What are the Factors of 2851?

Answer: Factors of 2851 are 1, 2851. There are 2 integers that are factors of 2851. The greatest factor of 2851 is 2851.

3. 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.

4. How to Find the LCM of 2851 and 2856?

Answer:

Least Common Multiple of 2851 and 2856 = 8142456

Step 1: Find the prime factorization of 2851

2851 = 2851

Step 2: Find the prime factorization of 2856

2856 = 2 x 2 x 2 x 3 x 7 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 = 8142456 = 2 x 2 x 2 x 3 x 7 x 17 x 2851

Step 4: Therefore, the least common multiple of 2851 and 2856 is 8142456.