Least Common Multiple of 1889 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 1889 and 1893 the smallest integer that is 3575877 that is divisible by both numbers.

Least Common Multiple (LCM) of 1889 and 1893 is 3575877.

LCM(1889,1893) = 3575877

LCM of 1889 and 1893

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

LCM of:
and

Least Common Multiple of 1889 and 1893

LCM of 1889 and 1893 is 3575877

Least common multiple can be found by multiplying the highest exponent prime factors of 1889 and 1893. First we will calculate the prime factors of 1889 and 1893.

Prime Factorization of 1889


1889 1889
1

Prime factors of 1889 are 1889. Prime factorization of 1889 in exponential form is:

1889 = 18891

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 1889 and 1893.

LCM(1889,1893) = 31×6311×18891
LCM(1889,1893) = 3575877

Factors of 1889

List of positive integer factors of 1889 that divides 1889 without a remainder.

1, 1889

Factors of 1893

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

1, 3, 631, 1893

Least Common Multiple of 1889 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 1889 and 1893, than apply into the LCM equation.

GCF(1889,1893) = 1
LCM(1889,1893) = ( 1889 × 1893) / 1
LCM(1889,1893) = 3575877 / 1
LCM(1889,1893) = 3575877

Properties of LCM 1889 and 1893

(i) The LCM of 1893 and 1889 is associative

LCM of 1889 and 1893 = LCM of 1893 and 1889

Related Least Common Multiples of 1889

Related Least Common Multiples of 1893

Frequently Asked Questions on LCM of 1889 and 1893

1. What is the LCM of 1889 and 1893?

Answer: LCM of 1889 and 1893 is 3575877.

2. What are the Factors of 1889?

Answer: Factors of 1889 are 1, 1889. There are 2 integers that are factors of 1889. The greatest factor of 1889 is 1889.

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 1889 and 1893?

Answer:

Least Common Multiple of 1889 and 1893 = 3575877

Step 1: Find the prime factorization of 1889

1889 = 1889

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 = 3575877 = 3 x 631 x 1889

Step 4: Therefore, the least common multiple of 1889 and 1893 is 3575877.