Least Common Multiple of 3889 and 3894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3889 and 3894 the smallest integer that is 15143766 that is divisible by both numbers.

Least Common Multiple (LCM) of 3889 and 3894 is 15143766.

LCM(3889,3894) = 15143766

LCM of 3889 and 3894

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

LCM of:
and

Least Common Multiple of 3889 and 3894

LCM of 3889 and 3894 is 15143766

Least common multiple can be found by multiplying the highest exponent prime factors of 3889 and 3894. First we will calculate the prime factors of 3889 and 3894.

Prime Factorization of 3889


3889 3889
1

Prime factors of 3889 are 3889. Prime factorization of 3889 in exponential form is:

3889 = 38891

Prime Factorization of 3894


2 3894
3 1947
11 649
59 59
1

Prime factors of 3894 are 2, 3, 11,59. Prime factorization of 3894 in exponential form is:

3894 = 21×31×111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3889 and 3894.

LCM(3889,3894) = 21×31×111×591×38891
LCM(3889,3894) = 15143766

Factors of 3889

List of positive integer factors of 3889 that divides 3889 without a remainder.

1, 3889

Factors of 3894

List of positive integer factors of 3894 that divides 3894 without a remainder.

1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947, 3894

Least Common Multiple of 3889 and 3894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3889 and 3894, than apply into the LCM equation.

GCF(3889,3894) = 1
LCM(3889,3894) = ( 3889 × 3894) / 1
LCM(3889,3894) = 15143766 / 1
LCM(3889,3894) = 15143766

Properties of LCM 3889 and 3894

(i) The LCM of 3894 and 3889 is associative

LCM of 3889 and 3894 = LCM of 3894 and 3889

Related Least Common Multiples of 3889

Related Least Common Multiples of 3894

Frequently Asked Questions on LCM of 3889 and 3894

1. What is the LCM of 3889 and 3894?

Answer: LCM of 3889 and 3894 is 15143766.

2. What are the Factors of 3889?

Answer: Factors of 3889 are 1, 3889. There are 2 integers that are factors of 3889. The greatest factor of 3889 is 3889.

3. What are the Factors of 3894?

Answer: Factors of 3894 are 1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947, 3894. There are 16 integers that are factors of 3894. The greatest factor of 3894 is 3894.

4. How to Find the LCM of 3889 and 3894?

Answer:

Least Common Multiple of 3889 and 3894 = 15143766

Step 1: Find the prime factorization of 3889

3889 = 3889

Step 2: Find the prime factorization of 3894

3894 = 2 x 3 x 11 x 59

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

LCM = 15143766 = 2 x 3 x 11 x 59 x 3889

Step 4: Therefore, the least common multiple of 3889 and 3894 is 15143766.