Least Common Multiple of 1886 and 1893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1886 and 1893 the smallest integer that is 3570198 that is divisible by both numbers.

Least Common Multiple (LCM) of 1886 and 1893 is 3570198.

LCM(1886,1893) = 3570198

LCM of 1886 and 1893

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

LCM of:
and

Least Common Multiple of 1886 and 1893

LCM of 1886 and 1893 is 3570198

Least common multiple can be found by multiplying the highest exponent prime factors of 1886 and 1893. First we will calculate the prime factors of 1886 and 1893.

Prime Factorization of 1886


2 1886
23 943
41 41
1

Prime factors of 1886 are 2, 23,41. Prime factorization of 1886 in exponential form is:

1886 = 21×231×411

Prime Factorization of 1893


3 1893
631 631
1

Prime factors of 1893 are 3,631. Prime factorization of 1893 in exponential form is:

1893 = 31×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 1886 and 1893.

LCM(1886,1893) = 21×31×231×411×6311
LCM(1886,1893) = 3570198

Factors of 1886

List of positive integer factors of 1886 that divides 1886 without a remainder.

1, 2, 23, 41, 46, 82, 943, 1886

Factors of 1893

List of positive integer factors of 1893 that divides 1893 without a remainder.

1, 3, 631, 1893

Least Common Multiple of 1886 and 1893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1886 and 1893, than apply into the LCM equation.

GCF(1886,1893) = 1
LCM(1886,1893) = ( 1886 × 1893) / 1
LCM(1886,1893) = 3570198 / 1
LCM(1886,1893) = 3570198

Properties of LCM 1886 and 1893

(i) The LCM of 1893 and 1886 is associative

LCM of 1886 and 1893 = LCM of 1893 and 1886

Related Least Common Multiples of 1886

Related Least Common Multiples of 1893

Frequently Asked Questions on LCM of 1886 and 1893

1. What is the LCM of 1886 and 1893?

Answer: LCM of 1886 and 1893 is 3570198.

2. What are the Factors of 1886?

Answer: Factors of 1886 are 1, 2, 23, 41, 46, 82, 943, 1886. There are 8 integers that are factors of 1886. The greatest factor of 1886 is 1886.

3. What are the Factors of 1893?

Answer: Factors of 1893 are 1, 3, 631, 1893. There are 4 integers that are factors of 1893. The greatest factor of 1893 is 1893.

4. How to Find the LCM of 1886 and 1893?

Answer:

Least Common Multiple of 1886 and 1893 = 3570198

Step 1: Find the prime factorization of 1886

1886 = 2 x 23 x 41

Step 2: Find the prime factorization of 1893

1893 = 3 x 631

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

LCM = 3570198 = 2 x 3 x 23 x 41 x 631

Step 4: Therefore, the least common multiple of 1886 and 1893 is 3570198.