Least Common Multiple of 3892 and 3899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3892 and 3899 the smallest integer that is 2167844 that is divisible by both numbers.

Least Common Multiple (LCM) of 3892 and 3899 is 2167844.

LCM(3892,3899) = 2167844

LCM of 3892 and 3899

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

LCM of:
and

Least Common Multiple of 3892 and 3899

LCM of 3892 and 3899 is 2167844

Least common multiple can be found by multiplying the highest exponent prime factors of 3892 and 3899. First we will calculate the prime factors of 3892 and 3899.

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

Prime Factorization of 3899


7 3899
557 557
1

Prime factors of 3899 are 7,557. Prime factorization of 3899 in exponential form is:

3899 = 71×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 3892 and 3899.

LCM(3892,3899) = 22×71×1391×5571
LCM(3892,3899) = 2167844

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

Factors of 3899

List of positive integer factors of 3899 that divides 3899 without a remainder.

1, 7, 557, 3899

Least Common Multiple of 3892 and 3899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3892 and 3899, than apply into the LCM equation.

GCF(3892,3899) = 7
LCM(3892,3899) = ( 3892 × 3899) / 7
LCM(3892,3899) = 15174908 / 7
LCM(3892,3899) = 2167844

Properties of LCM 3892 and 3899

(i) The LCM of 3899 and 3892 is associative

LCM of 3892 and 3899 = LCM of 3899 and 3892

Related Least Common Multiples of 3892

Related Least Common Multiples of 3899

Frequently Asked Questions on LCM of 3892 and 3899

1. What is the LCM of 3892 and 3899?

Answer: LCM of 3892 and 3899 is 2167844.

2. 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.

3. What are the Factors of 3899?

Answer: Factors of 3899 are 1, 7, 557, 3899. There are 4 integers that are factors of 3899. The greatest factor of 3899 is 3899.

4. How to Find the LCM of 3892 and 3899?

Answer:

Least Common Multiple of 3892 and 3899 = 2167844

Step 1: Find the prime factorization of 3892

3892 = 2 x 2 x 7 x 139

Step 2: Find the prime factorization of 3899

3899 = 7 x 557

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

LCM = 2167844 = 2 x 2 x 7 x 139 x 557

Step 4: Therefore, the least common multiple of 3892 and 3899 is 2167844.