Least Common Multiple of 2856 and 2857

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 2857 the smallest integer that is 8159592 that is divisible by both numbers.

Least Common Multiple (LCM) of 2856 and 2857 is 8159592.

LCM(2856,2857) = 8159592

LCM of 2856 and 2857

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

LCM of:
and

Least Common Multiple of 2856 and 2857

LCM of 2856 and 2857 is 8159592

Least common multiple can be found by multiplying the highest exponent prime factors of 2856 and 2857. First we will calculate the prime factors of 2856 and 2857.

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 2857


2857 2857
1

Prime factors of 2857 are 2857. Prime factorization of 2857 in exponential form is:

2857 = 28571

Now multiplying the highest exponent prime factors to calculate the LCM of 2856 and 2857.

LCM(2856,2857) = 23×31×71×171×28571
LCM(2856,2857) = 8159592

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 2857

List of positive integer factors of 2857 that divides 2857 without a remainder.

1, 2857

Least Common Multiple of 2856 and 2857 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 2857, than apply into the LCM equation.

GCF(2856,2857) = 1
LCM(2856,2857) = ( 2856 × 2857) / 1
LCM(2856,2857) = 8159592 / 1
LCM(2856,2857) = 8159592

Properties of LCM 2856 and 2857

(i) The LCM of 2857 and 2856 is associative

LCM of 2856 and 2857 = LCM of 2857 and 2856

Related Least Common Multiples of 2856

Related Least Common Multiples of 2857

Frequently Asked Questions on LCM of 2856 and 2857

1. What is the LCM of 2856 and 2857?

Answer: LCM of 2856 and 2857 is 8159592.

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 2857?

Answer: Factors of 2857 are 1, 2857. There are 2 integers that are factors of 2857. The greatest factor of 2857 is 2857.

4. How to Find the LCM of 2856 and 2857?

Answer:

Least Common Multiple of 2856 and 2857 = 8159592

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 2857

2857 = 2857

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

LCM = 8159592 = 2 x 2 x 2 x 3 x 7 x 17 x 2857

Step 4: Therefore, the least common multiple of 2856 and 2857 is 8159592.