Least Common Multiple of 2837 and 2845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2837 and 2845 the smallest integer that is 8071265 that is divisible by both numbers.

Least Common Multiple (LCM) of 2837 and 2845 is 8071265.

LCM(2837,2845) = 8071265

LCM of 2837 and 2845

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

LCM of:
and

Least Common Multiple of 2837 and 2845

LCM of 2837 and 2845 is 8071265

Least common multiple can be found by multiplying the highest exponent prime factors of 2837 and 2845. First we will calculate the prime factors of 2837 and 2845.

Prime Factorization of 2837


2837 2837
1

Prime factors of 2837 are 2837. Prime factorization of 2837 in exponential form is:

2837 = 28371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2837 and 2845.

LCM(2837,2845) = 51×5691×28371
LCM(2837,2845) = 8071265

Factors of 2837

List of positive integer factors of 2837 that divides 2837 without a remainder.

1, 2837

Factors of 2845

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

1, 5, 569, 2845

Least Common Multiple of 2837 and 2845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2837 and 2845, than apply into the LCM equation.

GCF(2837,2845) = 1
LCM(2837,2845) = ( 2837 × 2845) / 1
LCM(2837,2845) = 8071265 / 1
LCM(2837,2845) = 8071265

Properties of LCM 2837 and 2845

(i) The LCM of 2845 and 2837 is associative

LCM of 2837 and 2845 = LCM of 2845 and 2837

Related Least Common Multiples of 2837

Related Least Common Multiples of 2845

Frequently Asked Questions on LCM of 2837 and 2845

1. What is the LCM of 2837 and 2845?

Answer: LCM of 2837 and 2845 is 8071265.

2. What are the Factors of 2837?

Answer: Factors of 2837 are 1, 2837. There are 2 integers that are factors of 2837. The greatest factor of 2837 is 2837.

3. 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.

4. How to Find the LCM of 2837 and 2845?

Answer:

Least Common Multiple of 2837 and 2845 = 8071265

Step 1: Find the prime factorization of 2837

2837 = 2837

Step 2: Find the prime factorization of 2845

2845 = 5 x 569

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

LCM = 8071265 = 5 x 569 x 2837

Step 4: Therefore, the least common multiple of 2837 and 2845 is 8071265.