Least Common Multiple of 2850 and 2855

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 2855 the smallest integer that is 1627350 that is divisible by both numbers.

Least Common Multiple (LCM) of 2850 and 2855 is 1627350.

LCM(2850,2855) = 1627350

LCM of 2850 and 2855

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

LCM of:
and

Least Common Multiple of 2850 and 2855

LCM of 2850 and 2855 is 1627350

Least common multiple can be found by multiplying the highest exponent prime factors of 2850 and 2855. First we will calculate the prime factors of 2850 and 2855.

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 2855


5 2855
571 571
1

Prime factors of 2855 are 5,571. Prime factorization of 2855 in exponential form is:

2855 = 51×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 2850 and 2855.

LCM(2850,2855) = 21×31×52×191×5711
LCM(2850,2855) = 1627350

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 2855

List of positive integer factors of 2855 that divides 2855 without a remainder.

1, 5, 571, 2855

Least Common Multiple of 2850 and 2855 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 2855, than apply into the LCM equation.

GCF(2850,2855) = 5
LCM(2850,2855) = ( 2850 × 2855) / 5
LCM(2850,2855) = 8136750 / 5
LCM(2850,2855) = 1627350

Properties of LCM 2850 and 2855

(i) The LCM of 2855 and 2850 is associative

LCM of 2850 and 2855 = LCM of 2855 and 2850

Related Least Common Multiples of 2850

Related Least Common Multiples of 2855

Frequently Asked Questions on LCM of 2850 and 2855

1. What is the LCM of 2850 and 2855?

Answer: LCM of 2850 and 2855 is 1627350.

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 2855?

Answer: Factors of 2855 are 1, 5, 571, 2855. There are 4 integers that are factors of 2855. The greatest factor of 2855 is 2855.

4. How to Find the LCM of 2850 and 2855?

Answer:

Least Common Multiple of 2850 and 2855 = 1627350

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 2855

2855 = 5 x 571

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

LCM = 1627350 = 2 x 3 x 5 x 5 x 19 x 571

Step 4: Therefore, the least common multiple of 2850 and 2855 is 1627350.