Least Common Multiple of 3876 and 3881

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 3881 the smallest integer that is 15042756 that is divisible by both numbers.

Least Common Multiple (LCM) of 3876 and 3881 is 15042756.

LCM(3876,3881) = 15042756

LCM of 3876 and 3881

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

LCM of:
and

Least Common Multiple of 3876 and 3881

LCM of 3876 and 3881 is 15042756

Least common multiple can be found by multiplying the highest exponent prime factors of 3876 and 3881. First we will calculate the prime factors of 3876 and 3881.

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 3881


3881 3881
1

Prime factors of 3881 are 3881. Prime factorization of 3881 in exponential form is:

3881 = 38811

Now multiplying the highest exponent prime factors to calculate the LCM of 3876 and 3881.

LCM(3876,3881) = 22×31×171×191×38811
LCM(3876,3881) = 15042756

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 3881

List of positive integer factors of 3881 that divides 3881 without a remainder.

1, 3881

Least Common Multiple of 3876 and 3881 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 3881, than apply into the LCM equation.

GCF(3876,3881) = 1
LCM(3876,3881) = ( 3876 × 3881) / 1
LCM(3876,3881) = 15042756 / 1
LCM(3876,3881) = 15042756

Properties of LCM 3876 and 3881

(i) The LCM of 3881 and 3876 is associative

LCM of 3876 and 3881 = LCM of 3881 and 3876

Related Least Common Multiples of 3876

Related Least Common Multiples of 3881

Frequently Asked Questions on LCM of 3876 and 3881

1. What is the LCM of 3876 and 3881?

Answer: LCM of 3876 and 3881 is 15042756.

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 3881?

Answer: Factors of 3881 are 1, 3881. There are 2 integers that are factors of 3881. The greatest factor of 3881 is 3881.

4. How to Find the LCM of 3876 and 3881?

Answer:

Least Common Multiple of 3876 and 3881 = 15042756

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 3881

3881 = 3881

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

LCM = 15042756 = 2 x 2 x 3 x 17 x 19 x 3881

Step 4: Therefore, the least common multiple of 3876 and 3881 is 15042756.