Least Common Multiple of 3866 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 3866 and 3872 the smallest integer that is 7484576 that is divisible by both numbers.

Least Common Multiple (LCM) of 3866 and 3872 is 7484576.

LCM(3866,3872) = 7484576

LCM of 3866 and 3872

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

LCM of:
and

Least Common Multiple of 3866 and 3872

LCM of 3866 and 3872 is 7484576

Least common multiple can be found by multiplying the highest exponent prime factors of 3866 and 3872. First we will calculate the prime factors of 3866 and 3872.

Prime Factorization of 3866


2 3866
1933 1933
1

Prime factors of 3866 are 2,1933. Prime factorization of 3866 in exponential form is:

3866 = 21×19331

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 3866 and 3872.

LCM(3866,3872) = 25×112×19331
LCM(3866,3872) = 7484576

Factors of 3866

List of positive integer factors of 3866 that divides 3866 without a remainder.

1, 2, 1933, 3866

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 3866 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 3866 and 3872, than apply into the LCM equation.

GCF(3866,3872) = 2
LCM(3866,3872) = ( 3866 × 3872) / 2
LCM(3866,3872) = 14969152 / 2
LCM(3866,3872) = 7484576

Properties of LCM 3866 and 3872

(i) The LCM of 3872 and 3866 is associative

LCM of 3866 and 3872 = LCM of 3872 and 3866

Related Least Common Multiples of 3866

Related Least Common Multiples of 3872

Frequently Asked Questions on LCM of 3866 and 3872

1. What is the LCM of 3866 and 3872?

Answer: LCM of 3866 and 3872 is 7484576.

2. What are the Factors of 3866?

Answer: Factors of 3866 are 1, 2, 1933, 3866. There are 4 integers that are factors of 3866. The greatest factor of 3866 is 3866.

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 3866 and 3872?

Answer:

Least Common Multiple of 3866 and 3872 = 7484576

Step 1: Find the prime factorization of 3866

3866 = 2 x 1933

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 = 7484576 = 2 x 2 x 2 x 2 x 2 x 11 x 11 x 1933

Step 4: Therefore, the least common multiple of 3866 and 3872 is 7484576.