Least Common Multiple of 1857 and 1864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1857 and 1864 the smallest integer that is 3461448 that is divisible by both numbers.

Least Common Multiple (LCM) of 1857 and 1864 is 3461448.

LCM(1857,1864) = 3461448

LCM of 1857 and 1864

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

LCM of:
and

Least Common Multiple of 1857 and 1864

LCM of 1857 and 1864 is 3461448

Least common multiple can be found by multiplying the highest exponent prime factors of 1857 and 1864. First we will calculate the prime factors of 1857 and 1864.

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

Prime Factorization of 1864


2 1864
2 932
2 466
233 233
1

Prime factors of 1864 are 2,233. Prime factorization of 1864 in exponential form is:

1864 = 23×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 1857 and 1864.

LCM(1857,1864) = 23×31×2331×6191
LCM(1857,1864) = 3461448

Factors of 1857

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

1, 3, 619, 1857

Factors of 1864

List of positive integer factors of 1864 that divides 1864 without a remainder.

1, 2, 4, 8, 233, 466, 932, 1864

Least Common Multiple of 1857 and 1864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1857 and 1864, than apply into the LCM equation.

GCF(1857,1864) = 1
LCM(1857,1864) = ( 1857 × 1864) / 1
LCM(1857,1864) = 3461448 / 1
LCM(1857,1864) = 3461448

Properties of LCM 1857 and 1864

(i) The LCM of 1864 and 1857 is associative

LCM of 1857 and 1864 = LCM of 1864 and 1857

Related Least Common Multiples of 1857

Related Least Common Multiples of 1864

Frequently Asked Questions on LCM of 1857 and 1864

1. What is the LCM of 1857 and 1864?

Answer: LCM of 1857 and 1864 is 3461448.

2. 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.

3. What are the Factors of 1864?

Answer: Factors of 1864 are 1, 2, 4, 8, 233, 466, 932, 1864. There are 8 integers that are factors of 1864. The greatest factor of 1864 is 1864.

4. How to Find the LCM of 1857 and 1864?

Answer:

Least Common Multiple of 1857 and 1864 = 3461448

Step 1: Find the prime factorization of 1857

1857 = 3 x 619

Step 2: Find the prime factorization of 1864

1864 = 2 x 2 x 2 x 233

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

LCM = 3461448 = 2 x 2 x 2 x 3 x 233 x 619

Step 4: Therefore, the least common multiple of 1857 and 1864 is 3461448.