Least Common Multiple of 2850 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 2850 and 2857 the smallest integer that is 8142450 that is divisible by both numbers.

Least Common Multiple (LCM) of 2850 and 2857 is 8142450.

LCM(2850,2857) = 8142450

LCM of 2850 and 2857

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

LCM of:
and

Least Common Multiple of 2850 and 2857

LCM of 2850 and 2857 is 8142450

Least common multiple can be found by multiplying the highest exponent prime factors of 2850 and 2857. First we will calculate the prime factors of 2850 and 2857.

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 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 2850 and 2857.

LCM(2850,2857) = 21×31×52×191×28571
LCM(2850,2857) = 8142450

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 2857

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

1, 2857

Least Common Multiple of 2850 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 2850 and 2857, than apply into the LCM equation.

GCF(2850,2857) = 1
LCM(2850,2857) = ( 2850 × 2857) / 1
LCM(2850,2857) = 8142450 / 1
LCM(2850,2857) = 8142450

Properties of LCM 2850 and 2857

(i) The LCM of 2857 and 2850 is associative

LCM of 2850 and 2857 = LCM of 2857 and 2850

Related Least Common Multiples of 2850

Related Least Common Multiples of 2857

Frequently Asked Questions on LCM of 2850 and 2857

1. What is the LCM of 2850 and 2857?

Answer: LCM of 2850 and 2857 is 8142450.

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 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 2850 and 2857?

Answer:

Least Common Multiple of 2850 and 2857 = 8142450

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 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 = 8142450 = 2 x 3 x 5 x 5 x 19 x 2857

Step 4: Therefore, the least common multiple of 2850 and 2857 is 8142450.