Least Common Multiple of 3872 and 3877

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 3877 the smallest integer that is 15011744 that is divisible by both numbers.

Least Common Multiple (LCM) of 3872 and 3877 is 15011744.

LCM(3872,3877) = 15011744

LCM of 3872 and 3877

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

LCM of:
and

Least Common Multiple of 3872 and 3877

LCM of 3872 and 3877 is 15011744

Least common multiple can be found by multiplying the highest exponent prime factors of 3872 and 3877. First we will calculate the prime factors of 3872 and 3877.

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 3877


3877 3877
1

Prime factors of 3877 are 3877. Prime factorization of 3877 in exponential form is:

3877 = 38771

Now multiplying the highest exponent prime factors to calculate the LCM of 3872 and 3877.

LCM(3872,3877) = 25×112×38771
LCM(3872,3877) = 15011744

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 3877

List of positive integer factors of 3877 that divides 3877 without a remainder.

1, 3877

Least Common Multiple of 3872 and 3877 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 3877, than apply into the LCM equation.

GCF(3872,3877) = 1
LCM(3872,3877) = ( 3872 × 3877) / 1
LCM(3872,3877) = 15011744 / 1
LCM(3872,3877) = 15011744

Properties of LCM 3872 and 3877

(i) The LCM of 3877 and 3872 is associative

LCM of 3872 and 3877 = LCM of 3877 and 3872

Related Least Common Multiples of 3872

Related Least Common Multiples of 3877

Frequently Asked Questions on LCM of 3872 and 3877

1. What is the LCM of 3872 and 3877?

Answer: LCM of 3872 and 3877 is 15011744.

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 3877?

Answer: Factors of 3877 are 1, 3877. There are 2 integers that are factors of 3877. The greatest factor of 3877 is 3877.

4. How to Find the LCM of 3872 and 3877?

Answer:

Least Common Multiple of 3872 and 3877 = 15011744

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 3877

3877 = 3877

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

LCM = 15011744 = 2 x 2 x 2 x 2 x 2 x 11 x 11 x 3877

Step 4: Therefore, the least common multiple of 3872 and 3877 is 15011744.