Least Common Multiple of 3891 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 3891 and 3898 the smallest integer that is 15167118 that is divisible by both numbers.

Least Common Multiple (LCM) of 3891 and 3898 is 15167118.

LCM(3891,3898) = 15167118

LCM of 3891 and 3898

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

LCM of:
and

Least Common Multiple of 3891 and 3898

LCM of 3891 and 3898 is 15167118

Least common multiple can be found by multiplying the highest exponent prime factors of 3891 and 3898. First we will calculate the prime factors of 3891 and 3898.

Prime Factorization of 3891


3 3891
1297 1297
1

Prime factors of 3891 are 3,1297. Prime factorization of 3891 in exponential form is:

3891 = 31×12971

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 3891 and 3898.

LCM(3891,3898) = 21×31×12971×19491
LCM(3891,3898) = 15167118

Factors of 3891

List of positive integer factors of 3891 that divides 3891 without a remainder.

1, 3, 1297, 3891

Factors of 3898

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

1, 2, 1949, 3898

Least Common Multiple of 3891 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 3891 and 3898, than apply into the LCM equation.

GCF(3891,3898) = 1
LCM(3891,3898) = ( 3891 × 3898) / 1
LCM(3891,3898) = 15167118 / 1
LCM(3891,3898) = 15167118

Properties of LCM 3891 and 3898

(i) The LCM of 3898 and 3891 is associative

LCM of 3891 and 3898 = LCM of 3898 and 3891

Related Least Common Multiples of 3891

Related Least Common Multiples of 3898

Frequently Asked Questions on LCM of 3891 and 3898

1. What is the LCM of 3891 and 3898?

Answer: LCM of 3891 and 3898 is 15167118.

2. What are the Factors of 3891?

Answer: Factors of 3891 are 1, 3, 1297, 3891. There are 4 integers that are factors of 3891. The greatest factor of 3891 is 3891.

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 3891 and 3898?

Answer:

Least Common Multiple of 3891 and 3898 = 15167118

Step 1: Find the prime factorization of 3891

3891 = 3 x 1297

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 = 15167118 = 2 x 3 x 1297 x 1949

Step 4: Therefore, the least common multiple of 3891 and 3898 is 15167118.