Least Common Multiple of 2852 and 2857

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 2857 the smallest integer that is 8148164 that is divisible by both numbers.

Least Common Multiple (LCM) of 2852 and 2857 is 8148164.

LCM(2852,2857) = 8148164

LCM of 2852 and 2857

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

LCM of:
and

Least Common Multiple of 2852 and 2857

LCM of 2852 and 2857 is 8148164

Least common multiple can be found by multiplying the highest exponent prime factors of 2852 and 2857. First we will calculate the prime factors of 2852 and 2857.

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 2857


2857 2857
1

Prime factors of 2857 are 2857. Prime factorization of 2857 in exponential form is:

2857 = 28571

Now multiplying the highest exponent prime factors to calculate the LCM of 2852 and 2857.

LCM(2852,2857) = 22×231×311×28571
LCM(2852,2857) = 8148164

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 2857

List of positive integer factors of 2857 that divides 2857 without a remainder.

1, 2857

Least Common Multiple of 2852 and 2857 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 2857, than apply into the LCM equation.

GCF(2852,2857) = 1
LCM(2852,2857) = ( 2852 × 2857) / 1
LCM(2852,2857) = 8148164 / 1
LCM(2852,2857) = 8148164

Properties of LCM 2852 and 2857

(i) The LCM of 2857 and 2852 is associative

LCM of 2852 and 2857 = LCM of 2857 and 2852

Related Least Common Multiples of 2852

Related Least Common Multiples of 2857

Frequently Asked Questions on LCM of 2852 and 2857

1. What is the LCM of 2852 and 2857?

Answer: LCM of 2852 and 2857 is 8148164.

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 2857?

Answer: Factors of 2857 are 1, 2857. There are 2 integers that are factors of 2857. The greatest factor of 2857 is 2857.

4. How to Find the LCM of 2852 and 2857?

Answer:

Least Common Multiple of 2852 and 2857 = 8148164

Step 1: Find the prime factorization of 2852

2852 = 2 x 2 x 23 x 31

Step 2: Find the prime factorization of 2857

2857 = 2857

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

LCM = 8148164 = 2 x 2 x 23 x 31 x 2857

Step 4: Therefore, the least common multiple of 2852 and 2857 is 8148164.