Least Common Multiple of 2850 and 2858

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 2858 the smallest integer that is 4072650 that is divisible by both numbers.

Least Common Multiple (LCM) of 2850 and 2858 is 4072650.

LCM(2850,2858) = 4072650

LCM of 2850 and 2858

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

LCM of:
and

Least Common Multiple of 2850 and 2858

LCM of 2850 and 2858 is 4072650

Least common multiple can be found by multiplying the highest exponent prime factors of 2850 and 2858. First we will calculate the prime factors of 2850 and 2858.

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 2858


2 2858
1429 1429
1

Prime factors of 2858 are 2,1429. Prime factorization of 2858 in exponential form is:

2858 = 21×14291

Now multiplying the highest exponent prime factors to calculate the LCM of 2850 and 2858.

LCM(2850,2858) = 21×31×52×191×14291
LCM(2850,2858) = 4072650

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 2858

List of positive integer factors of 2858 that divides 2858 without a remainder.

1, 2, 1429, 2858

Least Common Multiple of 2850 and 2858 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 2858, than apply into the LCM equation.

GCF(2850,2858) = 2
LCM(2850,2858) = ( 2850 × 2858) / 2
LCM(2850,2858) = 8145300 / 2
LCM(2850,2858) = 4072650

Properties of LCM 2850 and 2858

(i) The LCM of 2858 and 2850 is associative

LCM of 2850 and 2858 = LCM of 2858 and 2850

Related Least Common Multiples of 2850

Related Least Common Multiples of 2858

Frequently Asked Questions on LCM of 2850 and 2858

1. What is the LCM of 2850 and 2858?

Answer: LCM of 2850 and 2858 is 4072650.

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 2858?

Answer: Factors of 2858 are 1, 2, 1429, 2858. There are 4 integers that are factors of 2858. The greatest factor of 2858 is 2858.

4. How to Find the LCM of 2850 and 2858?

Answer:

Least Common Multiple of 2850 and 2858 = 4072650

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 2858

2858 = 2 x 1429

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

LCM = 4072650 = 2 x 3 x 5 x 5 x 19 x 1429

Step 4: Therefore, the least common multiple of 2850 and 2858 is 4072650.