Least Common Multiple of 3867 and 3875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3867 and 3875 the smallest integer that is 14984625 that is divisible by both numbers.

Least Common Multiple (LCM) of 3867 and 3875 is 14984625.

LCM(3867,3875) = 14984625

LCM of 3867 and 3875

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

LCM of:
and

Least Common Multiple of 3867 and 3875

LCM of 3867 and 3875 is 14984625

Least common multiple can be found by multiplying the highest exponent prime factors of 3867 and 3875. First we will calculate the prime factors of 3867 and 3875.

Prime Factorization of 3867


3 3867
1289 1289
1

Prime factors of 3867 are 3,1289. Prime factorization of 3867 in exponential form is:

3867 = 31×12891

Prime Factorization of 3875


5 3875
5 775
5 155
31 31
1

Prime factors of 3875 are 5,31. Prime factorization of 3875 in exponential form is:

3875 = 53×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3867 and 3875.

LCM(3867,3875) = 31×53×311×12891
LCM(3867,3875) = 14984625

Factors of 3867

List of positive integer factors of 3867 that divides 3867 without a remainder.

1, 3, 1289, 3867

Factors of 3875

List of positive integer factors of 3875 that divides 3875 without a remainder.

1, 5, 25, 31, 125, 155, 775, 3875

Least Common Multiple of 3867 and 3875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3867 and 3875, than apply into the LCM equation.

GCF(3867,3875) = 1
LCM(3867,3875) = ( 3867 × 3875) / 1
LCM(3867,3875) = 14984625 / 1
LCM(3867,3875) = 14984625

Properties of LCM 3867 and 3875

(i) The LCM of 3875 and 3867 is associative

LCM of 3867 and 3875 = LCM of 3875 and 3867

Related Least Common Multiples of 3867

Related Least Common Multiples of 3875

Frequently Asked Questions on LCM of 3867 and 3875

1. What is the LCM of 3867 and 3875?

Answer: LCM of 3867 and 3875 is 14984625.

2. What are the Factors of 3867?

Answer: Factors of 3867 are 1, 3, 1289, 3867. There are 4 integers that are factors of 3867. The greatest factor of 3867 is 3867.

3. What are the Factors of 3875?

Answer: Factors of 3875 are 1, 5, 25, 31, 125, 155, 775, 3875. There are 8 integers that are factors of 3875. The greatest factor of 3875 is 3875.

4. How to Find the LCM of 3867 and 3875?

Answer:

Least Common Multiple of 3867 and 3875 = 14984625

Step 1: Find the prime factorization of 3867

3867 = 3 x 1289

Step 2: Find the prime factorization of 3875

3875 = 5 x 5 x 5 x 31

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

LCM = 14984625 = 3 x 5 x 5 x 5 x 31 x 1289

Step 4: Therefore, the least common multiple of 3867 and 3875 is 14984625.