Least Common Multiple of 3889 and 3893

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 3893 the smallest integer that is 15139877 that is divisible by both numbers.

Least Common Multiple (LCM) of 3889 and 3893 is 15139877.

LCM(3889,3893) = 15139877

LCM of 3889 and 3893

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

LCM of:
and

Least Common Multiple of 3889 and 3893

LCM of 3889 and 3893 is 15139877

Least common multiple can be found by multiplying the highest exponent prime factors of 3889 and 3893. First we will calculate the prime factors of 3889 and 3893.

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 3893


17 3893
229 229
1

Prime factors of 3893 are 17,229. Prime factorization of 3893 in exponential form is:

3893 = 171×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 3889 and 3893.

LCM(3889,3893) = 171×2291×38891
LCM(3889,3893) = 15139877

Factors of 3889

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

1, 3889

Factors of 3893

List of positive integer factors of 3893 that divides 3893 without a remainder.

1, 17, 229, 3893

Least Common Multiple of 3889 and 3893 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 3893, than apply into the LCM equation.

GCF(3889,3893) = 1
LCM(3889,3893) = ( 3889 × 3893) / 1
LCM(3889,3893) = 15139877 / 1
LCM(3889,3893) = 15139877

Properties of LCM 3889 and 3893

(i) The LCM of 3893 and 3889 is associative

LCM of 3889 and 3893 = LCM of 3893 and 3889

Related Least Common Multiples of 3889

Related Least Common Multiples of 3893

Frequently Asked Questions on LCM of 3889 and 3893

1. What is the LCM of 3889 and 3893?

Answer: LCM of 3889 and 3893 is 15139877.

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 3893?

Answer: Factors of 3893 are 1, 17, 229, 3893. There are 4 integers that are factors of 3893. The greatest factor of 3893 is 3893.

4. How to Find the LCM of 3889 and 3893?

Answer:

Least Common Multiple of 3889 and 3893 = 15139877

Step 1: Find the prime factorization of 3889

3889 = 3889

Step 2: Find the prime factorization of 3893

3893 = 17 x 229

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

LCM = 15139877 = 17 x 229 x 3889

Step 4: Therefore, the least common multiple of 3889 and 3893 is 15139877.