Least Common Multiple of 2850 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 2850 and 2856 the smallest integer that is 1356600 that is divisible by both numbers.

Least Common Multiple (LCM) of 2850 and 2856 is 1356600.

LCM(2850,2856) = 1356600

LCM of 2850 and 2856

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

LCM of:
and

Least Common Multiple of 2850 and 2856

LCM of 2850 and 2856 is 1356600

Least common multiple can be found by multiplying the highest exponent prime factors of 2850 and 2856. First we will calculate the prime factors of 2850 and 2856.

Prime Factorization of 2850


2 2850
3 1425
5 475
5 95
19 19
1

Prime factors of 2850 are 2, 3, 5,19. Prime factorization of 2850 in exponential form is:

2850 = 21×31×52×191

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 2850 and 2856.

LCM(2850,2856) = 23×31×52×71×171×191
LCM(2850,2856) = 1356600

Factors of 2850

List of positive integer factors of 2850 that divides 2850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 150, 190, 285, 475, 570, 950, 1425, 2850

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 2850 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 2850 and 2856, than apply into the LCM equation.

GCF(2850,2856) = 6
LCM(2850,2856) = ( 2850 × 2856) / 6
LCM(2850,2856) = 8139600 / 6
LCM(2850,2856) = 1356600

Properties of LCM 2850 and 2856

(i) The LCM of 2856 and 2850 is associative

LCM of 2850 and 2856 = LCM of 2856 and 2850

Related Least Common Multiples of 2850

Related Least Common Multiples of 2856

Frequently Asked Questions on LCM of 2850 and 2856

1. What is the LCM of 2850 and 2856?

Answer: LCM of 2850 and 2856 is 1356600.

2. What are the Factors of 2850?

Answer: Factors of 2850 are 1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 150, 190, 285, 475, 570, 950, 1425, 2850. There are 24 integers that are factors of 2850. The greatest factor of 2850 is 2850.

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 2850 and 2856?

Answer:

Least Common Multiple of 2850 and 2856 = 1356600

Step 1: Find the prime factorization of 2850

2850 = 2 x 3 x 5 x 5 x 19

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 = 1356600 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 17 x 19

Step 4: Therefore, the least common multiple of 2850 and 2856 is 1356600.