Least Common Multiple of 1852 and 1857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1852 and 1857 the smallest integer that is 3439164 that is divisible by both numbers.

Least Common Multiple (LCM) of 1852 and 1857 is 3439164.

LCM(1852,1857) = 3439164

LCM of 1852 and 1857

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

LCM of:
and

Least Common Multiple of 1852 and 1857

LCM of 1852 and 1857 is 3439164

Least common multiple can be found by multiplying the highest exponent prime factors of 1852 and 1857. First we will calculate the prime factors of 1852 and 1857.

Prime Factorization of 1852


2 1852
2 926
463 463
1

Prime factors of 1852 are 2,463. Prime factorization of 1852 in exponential form is:

1852 = 22×4631

Prime Factorization of 1857


3 1857
619 619
1

Prime factors of 1857 are 3,619. Prime factorization of 1857 in exponential form is:

1857 = 31×6191

Now multiplying the highest exponent prime factors to calculate the LCM of 1852 and 1857.

LCM(1852,1857) = 22×31×4631×6191
LCM(1852,1857) = 3439164

Factors of 1852

List of positive integer factors of 1852 that divides 1852 without a remainder.

1, 2, 4, 463, 926, 1852

Factors of 1857

List of positive integer factors of 1857 that divides 1857 without a remainder.

1, 3, 619, 1857

Least Common Multiple of 1852 and 1857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1852 and 1857, than apply into the LCM equation.

GCF(1852,1857) = 1
LCM(1852,1857) = ( 1852 × 1857) / 1
LCM(1852,1857) = 3439164 / 1
LCM(1852,1857) = 3439164

Properties of LCM 1852 and 1857

(i) The LCM of 1857 and 1852 is associative

LCM of 1852 and 1857 = LCM of 1857 and 1852

Related Least Common Multiples of 1852

Related Least Common Multiples of 1857

Frequently Asked Questions on LCM of 1852 and 1857

1. What is the LCM of 1852 and 1857?

Answer: LCM of 1852 and 1857 is 3439164.

2. What are the Factors of 1852?

Answer: Factors of 1852 are 1, 2, 4, 463, 926, 1852. There are 6 integers that are factors of 1852. The greatest factor of 1852 is 1852.

3. What are the Factors of 1857?

Answer: Factors of 1857 are 1, 3, 619, 1857. There are 4 integers that are factors of 1857. The greatest factor of 1857 is 1857.

4. How to Find the LCM of 1852 and 1857?

Answer:

Least Common Multiple of 1852 and 1857 = 3439164

Step 1: Find the prime factorization of 1852

1852 = 2 x 2 x 463

Step 2: Find the prime factorization of 1857

1857 = 3 x 619

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

LCM = 3439164 = 2 x 2 x 3 x 463 x 619

Step 4: Therefore, the least common multiple of 1852 and 1857 is 3439164.