Least Common Multiple of 2852 and 2854

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 2854 the smallest integer that is 4069804 that is divisible by both numbers.

Least Common Multiple (LCM) of 2852 and 2854 is 4069804.

LCM(2852,2854) = 4069804

LCM of 2852 and 2854

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

LCM of:
and

Least Common Multiple of 2852 and 2854

LCM of 2852 and 2854 is 4069804

Least common multiple can be found by multiplying the highest exponent prime factors of 2852 and 2854. First we will calculate the prime factors of 2852 and 2854.

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 2854


2 2854
1427 1427
1

Prime factors of 2854 are 2,1427. Prime factorization of 2854 in exponential form is:

2854 = 21×14271

Now multiplying the highest exponent prime factors to calculate the LCM of 2852 and 2854.

LCM(2852,2854) = 22×231×311×14271
LCM(2852,2854) = 4069804

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 2854

List of positive integer factors of 2854 that divides 2854 without a remainder.

1, 2, 1427, 2854

Least Common Multiple of 2852 and 2854 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 2854, than apply into the LCM equation.

GCF(2852,2854) = 2
LCM(2852,2854) = ( 2852 × 2854) / 2
LCM(2852,2854) = 8139608 / 2
LCM(2852,2854) = 4069804

Properties of LCM 2852 and 2854

(i) The LCM of 2854 and 2852 is associative

LCM of 2852 and 2854 = LCM of 2854 and 2852

Related Least Common Multiples of 2852

Related Least Common Multiples of 2854

Frequently Asked Questions on LCM of 2852 and 2854

1. What is the LCM of 2852 and 2854?

Answer: LCM of 2852 and 2854 is 4069804.

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 2854?

Answer: Factors of 2854 are 1, 2, 1427, 2854. There are 4 integers that are factors of 2854. The greatest factor of 2854 is 2854.

4. How to Find the LCM of 2852 and 2854?

Answer:

Least Common Multiple of 2852 and 2854 = 4069804

Step 1: Find the prime factorization of 2852

2852 = 2 x 2 x 23 x 31

Step 2: Find the prime factorization of 2854

2854 = 2 x 1427

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

LCM = 4069804 = 2 x 2 x 23 x 31 x 1427

Step 4: Therefore, the least common multiple of 2852 and 2854 is 4069804.