Least Common Multiple of 3872 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 3872 and 3875 the smallest integer that is 15004000 that is divisible by both numbers.

Least Common Multiple (LCM) of 3872 and 3875 is 15004000.

LCM(3872,3875) = 15004000

LCM of 3872 and 3875

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

LCM of:
and

Least Common Multiple of 3872 and 3875

LCM of 3872 and 3875 is 15004000

Least common multiple can be found by multiplying the highest exponent prime factors of 3872 and 3875. First we will calculate the prime factors of 3872 and 3875.

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

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 3872 and 3875.

LCM(3872,3875) = 25×53×112×311
LCM(3872,3875) = 15004000

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

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 3872 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 3872 and 3875, than apply into the LCM equation.

GCF(3872,3875) = 1
LCM(3872,3875) = ( 3872 × 3875) / 1
LCM(3872,3875) = 15004000 / 1
LCM(3872,3875) = 15004000

Properties of LCM 3872 and 3875

(i) The LCM of 3875 and 3872 is associative

LCM of 3872 and 3875 = LCM of 3875 and 3872

Related Least Common Multiples of 3872

Related Least Common Multiples of 3875

Frequently Asked Questions on LCM of 3872 and 3875

1. What is the LCM of 3872 and 3875?

Answer: LCM of 3872 and 3875 is 15004000.

2. 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.

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 3872 and 3875?

Answer:

Least Common Multiple of 3872 and 3875 = 15004000

Step 1: Find the prime factorization of 3872

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

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 = 15004000 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 11 x 11 x 31

Step 4: Therefore, the least common multiple of 3872 and 3875 is 15004000.