Least Common Multiple of 2852 and 2856

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 2856 the smallest integer that is 2036328 that is divisible by both numbers.

Least Common Multiple (LCM) of 2852 and 2856 is 2036328.

LCM(2852,2856) = 2036328

LCM of 2852 and 2856

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

LCM of:
and

Least Common Multiple of 2852 and 2856

LCM of 2852 and 2856 is 2036328

Least common multiple can be found by multiplying the highest exponent prime factors of 2852 and 2856. First we will calculate the prime factors of 2852 and 2856.

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 2856


2 2856
2 1428
2 714
3 357
7 119
17 17
1

Prime factors of 2856 are 2, 3, 7,17. Prime factorization of 2856 in exponential form is:

2856 = 23×31×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2852 and 2856.

LCM(2852,2856) = 23×31×71×171×231×311
LCM(2852,2856) = 2036328

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 2856

List of positive integer factors of 2856 that divides 2856 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 357, 408, 476, 714, 952, 1428, 2856

Least Common Multiple of 2852 and 2856 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 2856, than apply into the LCM equation.

GCF(2852,2856) = 4
LCM(2852,2856) = ( 2852 × 2856) / 4
LCM(2852,2856) = 8145312 / 4
LCM(2852,2856) = 2036328

Properties of LCM 2852 and 2856

(i) The LCM of 2856 and 2852 is associative

LCM of 2852 and 2856 = LCM of 2856 and 2852

Related Least Common Multiples of 2852

Related Least Common Multiples of 2856

Frequently Asked Questions on LCM of 2852 and 2856

1. What is the LCM of 2852 and 2856?

Answer: LCM of 2852 and 2856 is 2036328.

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 2856?

Answer: Factors of 2856 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 357, 408, 476, 714, 952, 1428, 2856. There are 32 integers that are factors of 2856. The greatest factor of 2856 is 2856.

4. How to Find the LCM of 2852 and 2856?

Answer:

Least Common Multiple of 2852 and 2856 = 2036328

Step 1: Find the prime factorization of 2852

2852 = 2 x 2 x 23 x 31

Step 2: Find the prime factorization of 2856

2856 = 2 x 2 x 2 x 3 x 7 x 17

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

LCM = 2036328 = 2 x 2 x 2 x 3 x 7 x 17 x 23 x 31

Step 4: Therefore, the least common multiple of 2852 and 2856 is 2036328.