Least Common Multiple of 3884 and 3889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3884 and 3889 the smallest integer that is 15104876 that is divisible by both numbers.

Least Common Multiple (LCM) of 3884 and 3889 is 15104876.

LCM(3884,3889) = 15104876

LCM of 3884 and 3889

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

LCM of:
and

Least Common Multiple of 3884 and 3889

LCM of 3884 and 3889 is 15104876

Least common multiple can be found by multiplying the highest exponent prime factors of 3884 and 3889. First we will calculate the prime factors of 3884 and 3889.

Prime Factorization of 3884


2 3884
2 1942
971 971
1

Prime factors of 3884 are 2,971. Prime factorization of 3884 in exponential form is:

3884 = 22×9711

Prime Factorization of 3889


3889 3889
1

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

3889 = 38891

Now multiplying the highest exponent prime factors to calculate the LCM of 3884 and 3889.

LCM(3884,3889) = 22×9711×38891
LCM(3884,3889) = 15104876

Factors of 3884

List of positive integer factors of 3884 that divides 3884 without a remainder.

1, 2, 4, 971, 1942, 3884

Factors of 3889

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

1, 3889

Least Common Multiple of 3884 and 3889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3884 and 3889, than apply into the LCM equation.

GCF(3884,3889) = 1
LCM(3884,3889) = ( 3884 × 3889) / 1
LCM(3884,3889) = 15104876 / 1
LCM(3884,3889) = 15104876

Properties of LCM 3884 and 3889

(i) The LCM of 3889 and 3884 is associative

LCM of 3884 and 3889 = LCM of 3889 and 3884

Related Least Common Multiples of 3884

Related Least Common Multiples of 3889

Frequently Asked Questions on LCM of 3884 and 3889

1. What is the LCM of 3884 and 3889?

Answer: LCM of 3884 and 3889 is 15104876.

2. What are the Factors of 3884?

Answer: Factors of 3884 are 1, 2, 4, 971, 1942, 3884. There are 6 integers that are factors of 3884. The greatest factor of 3884 is 3884.

3. 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.

4. How to Find the LCM of 3884 and 3889?

Answer:

Least Common Multiple of 3884 and 3889 = 15104876

Step 1: Find the prime factorization of 3884

3884 = 2 x 2 x 971

Step 2: Find the prime factorization of 3889

3889 = 3889

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

LCM = 15104876 = 2 x 2 x 971 x 3889

Step 4: Therefore, the least common multiple of 3884 and 3889 is 15104876.