Least Common Multiple of 3876 and 3880

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 3880 the smallest integer that is 3759720 that is divisible by both numbers.

Least Common Multiple (LCM) of 3876 and 3880 is 3759720.

LCM(3876,3880) = 3759720

LCM of 3876 and 3880

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

LCM of:
and

Least Common Multiple of 3876 and 3880

LCM of 3876 and 3880 is 3759720

Least common multiple can be found by multiplying the highest exponent prime factors of 3876 and 3880. First we will calculate the prime factors of 3876 and 3880.

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 3880


2 3880
2 1940
2 970
5 485
97 97
1

Prime factors of 3880 are 2, 5,97. Prime factorization of 3880 in exponential form is:

3880 = 23×51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 3876 and 3880.

LCM(3876,3880) = 23×31×51×171×191×971
LCM(3876,3880) = 3759720

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 3880

List of positive integer factors of 3880 that divides 3880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880

Least Common Multiple of 3876 and 3880 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 3880, than apply into the LCM equation.

GCF(3876,3880) = 4
LCM(3876,3880) = ( 3876 × 3880) / 4
LCM(3876,3880) = 15038880 / 4
LCM(3876,3880) = 3759720

Properties of LCM 3876 and 3880

(i) The LCM of 3880 and 3876 is associative

LCM of 3876 and 3880 = LCM of 3880 and 3876

Related Least Common Multiples of 3876

Related Least Common Multiples of 3880

Frequently Asked Questions on LCM of 3876 and 3880

1. What is the LCM of 3876 and 3880?

Answer: LCM of 3876 and 3880 is 3759720.

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 3880?

Answer: Factors of 3880 are 1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880. There are 16 integers that are factors of 3880. The greatest factor of 3880 is 3880.

4. How to Find the LCM of 3876 and 3880?

Answer:

Least Common Multiple of 3876 and 3880 = 3759720

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 3880

3880 = 2 x 2 x 2 x 5 x 97

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

LCM = 3759720 = 2 x 2 x 2 x 3 x 5 x 17 x 19 x 97

Step 4: Therefore, the least common multiple of 3876 and 3880 is 3759720.