Least Common Multiple of 2845 and 2852

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 2852 the smallest integer that is 8113940 that is divisible by both numbers.

Least Common Multiple (LCM) of 2845 and 2852 is 8113940.

LCM(2845,2852) = 8113940

LCM of 2845 and 2852

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

LCM of:
and

Least Common Multiple of 2845 and 2852

LCM of 2845 and 2852 is 8113940

Least common multiple can be found by multiplying the highest exponent prime factors of 2845 and 2852. First we will calculate the prime factors of 2845 and 2852.

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 2852


2 2852
2 1426
23 713
31 31
1

Prime factors of 2852 are 2, 23,31. Prime factorization of 2852 in exponential form is:

2852 = 22×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2845 and 2852.

LCM(2845,2852) = 22×51×231×311×5691
LCM(2845,2852) = 8113940

Factors of 2845

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

1, 5, 569, 2845

Factors of 2852

List of positive integer factors of 2852 that divides 2852 without a remainder.

1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 1426, 2852

Least Common Multiple of 2845 and 2852 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 2852, than apply into the LCM equation.

GCF(2845,2852) = 1
LCM(2845,2852) = ( 2845 × 2852) / 1
LCM(2845,2852) = 8113940 / 1
LCM(2845,2852) = 8113940

Properties of LCM 2845 and 2852

(i) The LCM of 2852 and 2845 is associative

LCM of 2845 and 2852 = LCM of 2852 and 2845

Related Least Common Multiples of 2845

Related Least Common Multiples of 2852

Frequently Asked Questions on LCM of 2845 and 2852

1. What is the LCM of 2845 and 2852?

Answer: LCM of 2845 and 2852 is 8113940.

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 2852?

Answer: Factors of 2852 are 1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 1426, 2852. There are 12 integers that are factors of 2852. The greatest factor of 2852 is 2852.

4. How to Find the LCM of 2845 and 2852?

Answer:

Least Common Multiple of 2845 and 2852 = 8113940

Step 1: Find the prime factorization of 2845

2845 = 5 x 569

Step 2: Find the prime factorization of 2852

2852 = 2 x 2 x 23 x 31

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

LCM = 8113940 = 2 x 2 x 5 x 23 x 31 x 569

Step 4: Therefore, the least common multiple of 2845 and 2852 is 8113940.