Least Common Multiple of 3898 and 3901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3898 and 3901 the smallest integer that is 15206098 that is divisible by both numbers.

Least Common Multiple (LCM) of 3898 and 3901 is 15206098.

LCM(3898,3901) = 15206098

LCM of 3898 and 3901

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

LCM of:
and

Least Common Multiple of 3898 and 3901

LCM of 3898 and 3901 is 15206098

Least common multiple can be found by multiplying the highest exponent prime factors of 3898 and 3901. First we will calculate the prime factors of 3898 and 3901.

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

Prime Factorization of 3901


47 3901
83 83
1

Prime factors of 3901 are 47,83. Prime factorization of 3901 in exponential form is:

3901 = 471×831

Now multiplying the highest exponent prime factors to calculate the LCM of 3898 and 3901.

LCM(3898,3901) = 21×471×831×19491
LCM(3898,3901) = 15206098

Factors of 3898

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

1, 2, 1949, 3898

Factors of 3901

List of positive integer factors of 3901 that divides 3901 without a remainder.

1, 47, 83, 3901

Least Common Multiple of 3898 and 3901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3898 and 3901, than apply into the LCM equation.

GCF(3898,3901) = 1
LCM(3898,3901) = ( 3898 × 3901) / 1
LCM(3898,3901) = 15206098 / 1
LCM(3898,3901) = 15206098

Properties of LCM 3898 and 3901

(i) The LCM of 3901 and 3898 is associative

LCM of 3898 and 3901 = LCM of 3901 and 3898

Related Least Common Multiples of 3898

Related Least Common Multiples of 3901

Frequently Asked Questions on LCM of 3898 and 3901

1. What is the LCM of 3898 and 3901?

Answer: LCM of 3898 and 3901 is 15206098.

2. 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.

3. What are the Factors of 3901?

Answer: Factors of 3901 are 1, 47, 83, 3901. There are 4 integers that are factors of 3901. The greatest factor of 3901 is 3901.

4. How to Find the LCM of 3898 and 3901?

Answer:

Least Common Multiple of 3898 and 3901 = 15206098

Step 1: Find the prime factorization of 3898

3898 = 2 x 1949

Step 2: Find the prime factorization of 3901

3901 = 47 x 83

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

LCM = 15206098 = 2 x 47 x 83 x 1949

Step 4: Therefore, the least common multiple of 3898 and 3901 is 15206098.