Least Common Multiple of 3889 and 3892

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 3892 the smallest integer that is 15135988 that is divisible by both numbers.

Least Common Multiple (LCM) of 3889 and 3892 is 15135988.

LCM(3889,3892) = 15135988

LCM of 3889 and 3892

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

LCM of:
and

Least Common Multiple of 3889 and 3892

LCM of 3889 and 3892 is 15135988

Least common multiple can be found by multiplying the highest exponent prime factors of 3889 and 3892. First we will calculate the prime factors of 3889 and 3892.

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 3892


2 3892
2 1946
7 973
139 139
1

Prime factors of 3892 are 2, 7,139. Prime factorization of 3892 in exponential form is:

3892 = 22×71×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 3889 and 3892.

LCM(3889,3892) = 22×71×1391×38891
LCM(3889,3892) = 15135988

Factors of 3889

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

1, 3889

Factors of 3892

List of positive integer factors of 3892 that divides 3892 without a remainder.

1, 2, 4, 7, 14, 28, 139, 278, 556, 973, 1946, 3892

Least Common Multiple of 3889 and 3892 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 3892, than apply into the LCM equation.

GCF(3889,3892) = 1
LCM(3889,3892) = ( 3889 × 3892) / 1
LCM(3889,3892) = 15135988 / 1
LCM(3889,3892) = 15135988

Properties of LCM 3889 and 3892

(i) The LCM of 3892 and 3889 is associative

LCM of 3889 and 3892 = LCM of 3892 and 3889

Related Least Common Multiples of 3889

Related Least Common Multiples of 3892

Frequently Asked Questions on LCM of 3889 and 3892

1. What is the LCM of 3889 and 3892?

Answer: LCM of 3889 and 3892 is 15135988.

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 3892?

Answer: Factors of 3892 are 1, 2, 4, 7, 14, 28, 139, 278, 556, 973, 1946, 3892. There are 12 integers that are factors of 3892. The greatest factor of 3892 is 3892.

4. How to Find the LCM of 3889 and 3892?

Answer:

Least Common Multiple of 3889 and 3892 = 15135988

Step 1: Find the prime factorization of 3889

3889 = 3889

Step 2: Find the prime factorization of 3892

3892 = 2 x 2 x 7 x 139

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

LCM = 15135988 = 2 x 2 x 7 x 139 x 3889

Step 4: Therefore, the least common multiple of 3889 and 3892 is 15135988.