Least Common Multiple of 2845 and 2850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2845 and 2850 the smallest integer that is 1621650 that is divisible by both numbers.

Least Common Multiple (LCM) of 2845 and 2850 is 1621650.

LCM(2845,2850) = 1621650

LCM of 2845 and 2850

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

LCM of:
and

Least Common Multiple of 2845 and 2850

LCM of 2845 and 2850 is 1621650

Least common multiple can be found by multiplying the highest exponent prime factors of 2845 and 2850. First we will calculate the prime factors of 2845 and 2850.

Prime Factorization of 2845


5 2845
569 569
1

Prime factors of 2845 are 5,569. Prime factorization of 2845 in exponential form is:

2845 = 51×5691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2845 and 2850.

LCM(2845,2850) = 21×31×52×191×5691
LCM(2845,2850) = 1621650

Factors of 2845

List of positive integer factors of 2845 that divides 2845 without a remainder.

1, 5, 569, 2845

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

Least Common Multiple of 2845 and 2850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2845 and 2850, than apply into the LCM equation.

GCF(2845,2850) = 5
LCM(2845,2850) = ( 2845 × 2850) / 5
LCM(2845,2850) = 8108250 / 5
LCM(2845,2850) = 1621650

Properties of LCM 2845 and 2850

(i) The LCM of 2850 and 2845 is associative

LCM of 2845 and 2850 = LCM of 2850 and 2845

Related Least Common Multiples of 2845

Related Least Common Multiples of 2850

Frequently Asked Questions on LCM of 2845 and 2850

1. What is the LCM of 2845 and 2850?

Answer: LCM of 2845 and 2850 is 1621650.

2. What are the Factors of 2845?

Answer: Factors of 2845 are 1, 5, 569, 2845. There are 4 integers that are factors of 2845. The greatest factor of 2845 is 2845.

3. 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.

4. How to Find the LCM of 2845 and 2850?

Answer:

Least Common Multiple of 2845 and 2850 = 1621650

Step 1: Find the prime factorization of 2845

2845 = 5 x 569

Step 2: Find the prime factorization of 2850

2850 = 2 x 3 x 5 x 5 x 19

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

LCM = 1621650 = 2 x 3 x 5 x 5 x 19 x 569

Step 4: Therefore, the least common multiple of 2845 and 2850 is 1621650.