Least Common Multiple of 3867 and 3872

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 3872 the smallest integer that is 14973024 that is divisible by both numbers.

Least Common Multiple (LCM) of 3867 and 3872 is 14973024.

LCM(3867,3872) = 14973024

LCM of 3867 and 3872

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

LCM of:
and

Least Common Multiple of 3867 and 3872

LCM of 3867 and 3872 is 14973024

Least common multiple can be found by multiplying the highest exponent prime factors of 3867 and 3872. First we will calculate the prime factors of 3867 and 3872.

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 3872


2 3872
2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 3872 are 2,11. Prime factorization of 3872 in exponential form is:

3872 = 25×112

Now multiplying the highest exponent prime factors to calculate the LCM of 3867 and 3872.

LCM(3867,3872) = 25×31×112×12891
LCM(3867,3872) = 14973024

Factors of 3867

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

1, 3, 1289, 3867

Factors of 3872

List of positive integer factors of 3872 that divides 3872 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872

Least Common Multiple of 3867 and 3872 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 3872, than apply into the LCM equation.

GCF(3867,3872) = 1
LCM(3867,3872) = ( 3867 × 3872) / 1
LCM(3867,3872) = 14973024 / 1
LCM(3867,3872) = 14973024

Properties of LCM 3867 and 3872

(i) The LCM of 3872 and 3867 is associative

LCM of 3867 and 3872 = LCM of 3872 and 3867

Related Least Common Multiples of 3867

Related Least Common Multiples of 3872

Frequently Asked Questions on LCM of 3867 and 3872

1. What is the LCM of 3867 and 3872?

Answer: LCM of 3867 and 3872 is 14973024.

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 3872?

Answer: Factors of 3872 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872. There are 18 integers that are factors of 3872. The greatest factor of 3872 is 3872.

4. How to Find the LCM of 3867 and 3872?

Answer:

Least Common Multiple of 3867 and 3872 = 14973024

Step 1: Find the prime factorization of 3867

3867 = 3 x 1289

Step 2: Find the prime factorization of 3872

3872 = 2 x 2 x 2 x 2 x 2 x 11 x 11

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

LCM = 14973024 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 11 x 1289

Step 4: Therefore, the least common multiple of 3867 and 3872 is 14973024.