Least Common Multiple of 2845 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 2845 and 2853 the smallest integer that is 8116785 that is divisible by both numbers.

Least Common Multiple (LCM) of 2845 and 2853 is 8116785.

LCM(2845,2853) = 8116785

LCM of 2845 and 2853

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

LCM of:
and

Least Common Multiple of 2845 and 2853

LCM of 2845 and 2853 is 8116785

Least common multiple can be found by multiplying the highest exponent prime factors of 2845 and 2853. First we will calculate the prime factors of 2845 and 2853.

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 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 2845 and 2853.

LCM(2845,2853) = 32×51×3171×5691
LCM(2845,2853) = 8116785

Factors of 2845

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

1, 5, 569, 2845

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 2845 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 2845 and 2853, than apply into the LCM equation.

GCF(2845,2853) = 1
LCM(2845,2853) = ( 2845 × 2853) / 1
LCM(2845,2853) = 8116785 / 1
LCM(2845,2853) = 8116785

Properties of LCM 2845 and 2853

(i) The LCM of 2853 and 2845 is associative

LCM of 2845 and 2853 = LCM of 2853 and 2845

Related Least Common Multiples of 2845

Related Least Common Multiples of 2853

Frequently Asked Questions on LCM of 2845 and 2853

1. What is the LCM of 2845 and 2853?

Answer: LCM of 2845 and 2853 is 8116785.

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 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 2845 and 2853?

Answer:

Least Common Multiple of 2845 and 2853 = 8116785

Step 1: Find the prime factorization of 2845

2845 = 5 x 569

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 = 8116785 = 3 x 3 x 5 x 317 x 569

Step 4: Therefore, the least common multiple of 2845 and 2853 is 8116785.