Least Common Multiple of 2850 and 2853

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 2853 the smallest integer that is 2710350 that is divisible by both numbers.

Least Common Multiple (LCM) of 2850 and 2853 is 2710350.

LCM(2850,2853) = 2710350

LCM of 2850 and 2853

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

LCM of:
and

Least Common Multiple of 2850 and 2853

LCM of 2850 and 2853 is 2710350

Least common multiple can be found by multiplying the highest exponent prime factors of 2850 and 2853. First we will calculate the prime factors of 2850 and 2853.

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 2853


3 2853
3 951
317 317
1

Prime factors of 2853 are 3,317. Prime factorization of 2853 in exponential form is:

2853 = 32×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 2850 and 2853.

LCM(2850,2853) = 21×32×52×191×3171
LCM(2850,2853) = 2710350

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 2853

List of positive integer factors of 2853 that divides 2853 without a remainder.

1, 3, 9, 317, 951, 2853

Least Common Multiple of 2850 and 2853 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 2853, than apply into the LCM equation.

GCF(2850,2853) = 3
LCM(2850,2853) = ( 2850 × 2853) / 3
LCM(2850,2853) = 8131050 / 3
LCM(2850,2853) = 2710350

Properties of LCM 2850 and 2853

(i) The LCM of 2853 and 2850 is associative

LCM of 2850 and 2853 = LCM of 2853 and 2850

Related Least Common Multiples of 2850

Related Least Common Multiples of 2853

Frequently Asked Questions on LCM of 2850 and 2853

1. What is the LCM of 2850 and 2853?

Answer: LCM of 2850 and 2853 is 2710350.

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 2853?

Answer: Factors of 2853 are 1, 3, 9, 317, 951, 2853. There are 6 integers that are factors of 2853. The greatest factor of 2853 is 2853.

4. How to Find the LCM of 2850 and 2853?

Answer:

Least Common Multiple of 2850 and 2853 = 2710350

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 2853

2853 = 3 x 3 x 317

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

LCM = 2710350 = 2 x 3 x 3 x 5 x 5 x 19 x 317

Step 4: Therefore, the least common multiple of 2850 and 2853 is 2710350.