Least Common Multiple of 3876 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 3876 and 3877 the smallest integer that is 15027252 that is divisible by both numbers.

Least Common Multiple (LCM) of 3876 and 3877 is 15027252.

LCM(3876,3877) = 15027252

LCM of 3876 and 3877

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

LCM of:
and

Least Common Multiple of 3876 and 3877

LCM of 3876 and 3877 is 15027252

Least common multiple can be found by multiplying the highest exponent prime factors of 3876 and 3877. First we will calculate the prime factors of 3876 and 3877.

Prime Factorization of 3876


2 3876
2 1938
3 969
17 323
19 19
1

Prime factors of 3876 are 2, 3, 17,19. Prime factorization of 3876 in exponential form is:

3876 = 22×31×171×191

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 3876 and 3877.

LCM(3876,3877) = 22×31×171×191×38771
LCM(3876,3877) = 15027252

Factors of 3876

List of positive integer factors of 3876 that divides 3876 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876

Factors of 3877

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

1, 3877

Least Common Multiple of 3876 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 3876 and 3877, than apply into the LCM equation.

GCF(3876,3877) = 1
LCM(3876,3877) = ( 3876 × 3877) / 1
LCM(3876,3877) = 15027252 / 1
LCM(3876,3877) = 15027252

Properties of LCM 3876 and 3877

(i) The LCM of 3877 and 3876 is associative

LCM of 3876 and 3877 = LCM of 3877 and 3876

Related Least Common Multiples of 3876

Related Least Common Multiples of 3877

Frequently Asked Questions on LCM of 3876 and 3877

1. What is the LCM of 3876 and 3877?

Answer: LCM of 3876 and 3877 is 15027252.

2. What are the Factors of 3876?

Answer: Factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876. There are 24 integers that are factors of 3876. The greatest factor of 3876 is 3876.

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 3876 and 3877?

Answer:

Least Common Multiple of 3876 and 3877 = 15027252

Step 1: Find the prime factorization of 3876

3876 = 2 x 2 x 3 x 17 x 19

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 = 15027252 = 2 x 2 x 3 x 17 x 19 x 3877

Step 4: Therefore, the least common multiple of 3876 and 3877 is 15027252.