Least Common Multiple of 3868 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 3868 and 3872 the smallest integer that is 3744224 that is divisible by both numbers.

Least Common Multiple (LCM) of 3868 and 3872 is 3744224.

LCM(3868,3872) = 3744224

LCM of 3868 and 3872

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

LCM of:
and

Least Common Multiple of 3868 and 3872

LCM of 3868 and 3872 is 3744224

Least common multiple can be found by multiplying the highest exponent prime factors of 3868 and 3872. First we will calculate the prime factors of 3868 and 3872.

Prime Factorization of 3868


2 3868
2 1934
967 967
1

Prime factors of 3868 are 2,967. Prime factorization of 3868 in exponential form is:

3868 = 22×9671

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 3868 and 3872.

LCM(3868,3872) = 25×112×9671
LCM(3868,3872) = 3744224

Factors of 3868

List of positive integer factors of 3868 that divides 3868 without a remainder.

1, 2, 4, 967, 1934, 3868

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 3868 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 3868 and 3872, than apply into the LCM equation.

GCF(3868,3872) = 4
LCM(3868,3872) = ( 3868 × 3872) / 4
LCM(3868,3872) = 14976896 / 4
LCM(3868,3872) = 3744224

Properties of LCM 3868 and 3872

(i) The LCM of 3872 and 3868 is associative

LCM of 3868 and 3872 = LCM of 3872 and 3868

Related Least Common Multiples of 3868

Related Least Common Multiples of 3872

Frequently Asked Questions on LCM of 3868 and 3872

1. What is the LCM of 3868 and 3872?

Answer: LCM of 3868 and 3872 is 3744224.

2. What are the Factors of 3868?

Answer: Factors of 3868 are 1, 2, 4, 967, 1934, 3868. There are 6 integers that are factors of 3868. The greatest factor of 3868 is 3868.

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 3868 and 3872?

Answer:

Least Common Multiple of 3868 and 3872 = 3744224

Step 1: Find the prime factorization of 3868

3868 = 2 x 2 x 967

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 = 3744224 = 2 x 2 x 2 x 2 x 2 x 11 x 11 x 967

Step 4: Therefore, the least common multiple of 3868 and 3872 is 3744224.