Least Common Multiple of 2856 and 2863

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 2863 the smallest integer that is 1168104 that is divisible by both numbers.

Least Common Multiple (LCM) of 2856 and 2863 is 1168104.

LCM(2856,2863) = 1168104

LCM of 2856 and 2863

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

LCM of:
and

Least Common Multiple of 2856 and 2863

LCM of 2856 and 2863 is 1168104

Least common multiple can be found by multiplying the highest exponent prime factors of 2856 and 2863. First we will calculate the prime factors of 2856 and 2863.

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 2863


7 2863
409 409
1

Prime factors of 2863 are 7,409. Prime factorization of 2863 in exponential form is:

2863 = 71×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 2856 and 2863.

LCM(2856,2863) = 23×31×71×171×4091
LCM(2856,2863) = 1168104

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 2863

List of positive integer factors of 2863 that divides 2863 without a remainder.

1, 7, 409, 2863

Least Common Multiple of 2856 and 2863 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 2863, than apply into the LCM equation.

GCF(2856,2863) = 7
LCM(2856,2863) = ( 2856 × 2863) / 7
LCM(2856,2863) = 8176728 / 7
LCM(2856,2863) = 1168104

Properties of LCM 2856 and 2863

(i) The LCM of 2863 and 2856 is associative

LCM of 2856 and 2863 = LCM of 2863 and 2856

Related Least Common Multiples of 2856

Related Least Common Multiples of 2863

Frequently Asked Questions on LCM of 2856 and 2863

1. What is the LCM of 2856 and 2863?

Answer: LCM of 2856 and 2863 is 1168104.

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 2863?

Answer: Factors of 2863 are 1, 7, 409, 2863. There are 4 integers that are factors of 2863. The greatest factor of 2863 is 2863.

4. How to Find the LCM of 2856 and 2863?

Answer:

Least Common Multiple of 2856 and 2863 = 1168104

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 2863

2863 = 7 x 409

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

LCM = 1168104 = 2 x 2 x 2 x 3 x 7 x 17 x 409

Step 4: Therefore, the least common multiple of 2856 and 2863 is 1168104.