Least Common Multiple of 1857 and 1863

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 1863 the smallest integer that is 1153197 that is divisible by both numbers.

Least Common Multiple (LCM) of 1857 and 1863 is 1153197.

LCM(1857,1863) = 1153197

LCM of 1857 and 1863

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

LCM of:
and

Least Common Multiple of 1857 and 1863

LCM of 1857 and 1863 is 1153197

Least common multiple can be found by multiplying the highest exponent prime factors of 1857 and 1863. First we will calculate the prime factors of 1857 and 1863.

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 1863


3 1863
3 621
3 207
3 69
23 23
1

Prime factors of 1863 are 3,23. Prime factorization of 1863 in exponential form is:

1863 = 34×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1857 and 1863.

LCM(1857,1863) = 34×231×6191
LCM(1857,1863) = 1153197

Factors of 1857

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

1, 3, 619, 1857

Factors of 1863

List of positive integer factors of 1863 that divides 1863 without a remainder.

1, 3, 9, 23, 27, 69, 81, 207, 621, 1863

Least Common Multiple of 1857 and 1863 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 1863, than apply into the LCM equation.

GCF(1857,1863) = 3
LCM(1857,1863) = ( 1857 × 1863) / 3
LCM(1857,1863) = 3459591 / 3
LCM(1857,1863) = 1153197

Properties of LCM 1857 and 1863

(i) The LCM of 1863 and 1857 is associative

LCM of 1857 and 1863 = LCM of 1863 and 1857

Related Least Common Multiples of 1857

Related Least Common Multiples of 1863

Frequently Asked Questions on LCM of 1857 and 1863

1. What is the LCM of 1857 and 1863?

Answer: LCM of 1857 and 1863 is 1153197.

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 1863?

Answer: Factors of 1863 are 1, 3, 9, 23, 27, 69, 81, 207, 621, 1863. There are 10 integers that are factors of 1863. The greatest factor of 1863 is 1863.

4. How to Find the LCM of 1857 and 1863?

Answer:

Least Common Multiple of 1857 and 1863 = 1153197

Step 1: Find the prime factorization of 1857

1857 = 3 x 619

Step 2: Find the prime factorization of 1863

1863 = 3 x 3 x 3 x 3 x 23

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

LCM = 1153197 = 3 x 3 x 3 x 3 x 23 x 619

Step 4: Therefore, the least common multiple of 1857 and 1863 is 1153197.