Least Common Multiple of 3892 and 3898

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 3898 the smallest integer that is 7585508 that is divisible by both numbers.

Least Common Multiple (LCM) of 3892 and 3898 is 7585508.

LCM(3892,3898) = 7585508

LCM of 3892 and 3898

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

LCM of:
and

Least Common Multiple of 3892 and 3898

LCM of 3892 and 3898 is 7585508

Least common multiple can be found by multiplying the highest exponent prime factors of 3892 and 3898. First we will calculate the prime factors of 3892 and 3898.

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 3898


2 3898
1949 1949
1

Prime factors of 3898 are 2,1949. Prime factorization of 3898 in exponential form is:

3898 = 21×19491

Now multiplying the highest exponent prime factors to calculate the LCM of 3892 and 3898.

LCM(3892,3898) = 22×71×1391×19491
LCM(3892,3898) = 7585508

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 3898

List of positive integer factors of 3898 that divides 3898 without a remainder.

1, 2, 1949, 3898

Least Common Multiple of 3892 and 3898 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 3898, than apply into the LCM equation.

GCF(3892,3898) = 2
LCM(3892,3898) = ( 3892 × 3898) / 2
LCM(3892,3898) = 15171016 / 2
LCM(3892,3898) = 7585508

Properties of LCM 3892 and 3898

(i) The LCM of 3898 and 3892 is associative

LCM of 3892 and 3898 = LCM of 3898 and 3892

Related Least Common Multiples of 3892

Related Least Common Multiples of 3898

Frequently Asked Questions on LCM of 3892 and 3898

1. What is the LCM of 3892 and 3898?

Answer: LCM of 3892 and 3898 is 7585508.

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 3898?

Answer: Factors of 3898 are 1, 2, 1949, 3898. There are 4 integers that are factors of 3898. The greatest factor of 3898 is 3898.

4. How to Find the LCM of 3892 and 3898?

Answer:

Least Common Multiple of 3892 and 3898 = 7585508

Step 1: Find the prime factorization of 3892

3892 = 2 x 2 x 7 x 139

Step 2: Find the prime factorization of 3898

3898 = 2 x 1949

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

LCM = 7585508 = 2 x 2 x 7 x 139 x 1949

Step 4: Therefore, the least common multiple of 3892 and 3898 is 7585508.