Least Common Multiple of 1881 and 1889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1881 and 1889 the smallest integer that is 3553209 that is divisible by both numbers.

Least Common Multiple (LCM) of 1881 and 1889 is 3553209.

LCM(1881,1889) = 3553209

LCM of 1881 and 1889

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

LCM of:
and

Least Common Multiple of 1881 and 1889

LCM of 1881 and 1889 is 3553209

Least common multiple can be found by multiplying the highest exponent prime factors of 1881 and 1889. First we will calculate the prime factors of 1881 and 1889.

Prime Factorization of 1881


3 1881
3 627
11 209
19 19
1

Prime factors of 1881 are 3, 11,19. Prime factorization of 1881 in exponential form is:

1881 = 32×111×191

Prime Factorization of 1889


1889 1889
1

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

1889 = 18891

Now multiplying the highest exponent prime factors to calculate the LCM of 1881 and 1889.

LCM(1881,1889) = 32×111×191×18891
LCM(1881,1889) = 3553209

Factors of 1881

List of positive integer factors of 1881 that divides 1881 without a remainder.

1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627, 1881

Factors of 1889

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

1, 1889

Least Common Multiple of 1881 and 1889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1881 and 1889, than apply into the LCM equation.

GCF(1881,1889) = 1
LCM(1881,1889) = ( 1881 × 1889) / 1
LCM(1881,1889) = 3553209 / 1
LCM(1881,1889) = 3553209

Properties of LCM 1881 and 1889

(i) The LCM of 1889 and 1881 is associative

LCM of 1881 and 1889 = LCM of 1889 and 1881

Related Least Common Multiples of 1881

Related Least Common Multiples of 1889

Frequently Asked Questions on LCM of 1881 and 1889

1. What is the LCM of 1881 and 1889?

Answer: LCM of 1881 and 1889 is 3553209.

2. What are the Factors of 1881?

Answer: Factors of 1881 are 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627, 1881. There are 12 integers that are factors of 1881. The greatest factor of 1881 is 1881.

3. 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.

4. How to Find the LCM of 1881 and 1889?

Answer:

Least Common Multiple of 1881 and 1889 = 3553209

Step 1: Find the prime factorization of 1881

1881 = 3 x 3 x 11 x 19

Step 2: Find the prime factorization of 1889

1889 = 1889

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

LCM = 3553209 = 3 x 3 x 11 x 19 x 1889

Step 4: Therefore, the least common multiple of 1881 and 1889 is 3553209.