Least Common Multiple of 2852 and 2859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2852 and 2859 the smallest integer that is 8153868 that is divisible by both numbers.

Least Common Multiple (LCM) of 2852 and 2859 is 8153868.

LCM(2852,2859) = 8153868

LCM of 2852 and 2859

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

LCM of:
and

Least Common Multiple of 2852 and 2859

LCM of 2852 and 2859 is 8153868

Least common multiple can be found by multiplying the highest exponent prime factors of 2852 and 2859. First we will calculate the prime factors of 2852 and 2859.

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

Prime Factorization of 2859


3 2859
953 953
1

Prime factors of 2859 are 3,953. Prime factorization of 2859 in exponential form is:

2859 = 31×9531

Now multiplying the highest exponent prime factors to calculate the LCM of 2852 and 2859.

LCM(2852,2859) = 22×31×231×311×9531
LCM(2852,2859) = 8153868

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

Factors of 2859

List of positive integer factors of 2859 that divides 2859 without a remainder.

1, 3, 953, 2859

Least Common Multiple of 2852 and 2859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2852 and 2859, than apply into the LCM equation.

GCF(2852,2859) = 1
LCM(2852,2859) = ( 2852 × 2859) / 1
LCM(2852,2859) = 8153868 / 1
LCM(2852,2859) = 8153868

Properties of LCM 2852 and 2859

(i) The LCM of 2859 and 2852 is associative

LCM of 2852 and 2859 = LCM of 2859 and 2852

Related Least Common Multiples of 2852

Related Least Common Multiples of 2859

Frequently Asked Questions on LCM of 2852 and 2859

1. What is the LCM of 2852 and 2859?

Answer: LCM of 2852 and 2859 is 8153868.

2. 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.

3. What are the Factors of 2859?

Answer: Factors of 2859 are 1, 3, 953, 2859. There are 4 integers that are factors of 2859. The greatest factor of 2859 is 2859.

4. How to Find the LCM of 2852 and 2859?

Answer:

Least Common Multiple of 2852 and 2859 = 8153868

Step 1: Find the prime factorization of 2852

2852 = 2 x 2 x 23 x 31

Step 2: Find the prime factorization of 2859

2859 = 3 x 953

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

LCM = 8153868 = 2 x 2 x 3 x 23 x 31 x 953

Step 4: Therefore, the least common multiple of 2852 and 2859 is 8153868.