Least Common Multiple of 3880 and 3887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3880 and 3887 the smallest integer that is 15081560 that is divisible by both numbers.

Least Common Multiple (LCM) of 3880 and 3887 is 15081560.

LCM(3880,3887) = 15081560

LCM of 3880 and 3887

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

LCM of:
and

Least Common Multiple of 3880 and 3887

LCM of 3880 and 3887 is 15081560

Least common multiple can be found by multiplying the highest exponent prime factors of 3880 and 3887. First we will calculate the prime factors of 3880 and 3887.

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

Prime Factorization of 3887


13 3887
13 299
23 23
1

Prime factors of 3887 are 13,23. Prime factorization of 3887 in exponential form is:

3887 = 132×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3880 and 3887.

LCM(3880,3887) = 23×51×132×231×971
LCM(3880,3887) = 15081560

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

Factors of 3887

List of positive integer factors of 3887 that divides 3887 without a remainder.

1, 13, 23, 169, 299, 3887

Least Common Multiple of 3880 and 3887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3880 and 3887, than apply into the LCM equation.

GCF(3880,3887) = 1
LCM(3880,3887) = ( 3880 × 3887) / 1
LCM(3880,3887) = 15081560 / 1
LCM(3880,3887) = 15081560

Properties of LCM 3880 and 3887

(i) The LCM of 3887 and 3880 is associative

LCM of 3880 and 3887 = LCM of 3887 and 3880

Related Least Common Multiples of 3880

Related Least Common Multiples of 3887

Frequently Asked Questions on LCM of 3880 and 3887

1. What is the LCM of 3880 and 3887?

Answer: LCM of 3880 and 3887 is 15081560.

2. 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.

3. What are the Factors of 3887?

Answer: Factors of 3887 are 1, 13, 23, 169, 299, 3887. There are 6 integers that are factors of 3887. The greatest factor of 3887 is 3887.

4. How to Find the LCM of 3880 and 3887?

Answer:

Least Common Multiple of 3880 and 3887 = 15081560

Step 1: Find the prime factorization of 3880

3880 = 2 x 2 x 2 x 5 x 97

Step 2: Find the prime factorization of 3887

3887 = 13 x 13 x 23

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

LCM = 15081560 = 2 x 2 x 2 x 5 x 13 x 13 x 23 x 97

Step 4: Therefore, the least common multiple of 3880 and 3887 is 15081560.