Least Common Multiple of 3880 and 3885

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 3885 the smallest integer that is 3014760 that is divisible by both numbers.

Least Common Multiple (LCM) of 3880 and 3885 is 3014760.

LCM(3880,3885) = 3014760

LCM of 3880 and 3885

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

LCM of:
and

Least Common Multiple of 3880 and 3885

LCM of 3880 and 3885 is 3014760

Least common multiple can be found by multiplying the highest exponent prime factors of 3880 and 3885. First we will calculate the prime factors of 3880 and 3885.

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 3885


3 3885
5 1295
7 259
37 37
1

Prime factors of 3885 are 3, 5, 7,37. Prime factorization of 3885 in exponential form is:

3885 = 31×51×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3880 and 3885.

LCM(3880,3885) = 23×31×51×71×371×971
LCM(3880,3885) = 3014760

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 3885

List of positive integer factors of 3885 that divides 3885 without a remainder.

1, 3, 5, 7, 15, 21, 35, 37, 105, 111, 185, 259, 555, 777, 1295, 3885

Least Common Multiple of 3880 and 3885 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 3885, than apply into the LCM equation.

GCF(3880,3885) = 5
LCM(3880,3885) = ( 3880 × 3885) / 5
LCM(3880,3885) = 15073800 / 5
LCM(3880,3885) = 3014760

Properties of LCM 3880 and 3885

(i) The LCM of 3885 and 3880 is associative

LCM of 3880 and 3885 = LCM of 3885 and 3880

Related Least Common Multiples of 3880

Related Least Common Multiples of 3885

Frequently Asked Questions on LCM of 3880 and 3885

1. What is the LCM of 3880 and 3885?

Answer: LCM of 3880 and 3885 is 3014760.

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 3885?

Answer: Factors of 3885 are 1, 3, 5, 7, 15, 21, 35, 37, 105, 111, 185, 259, 555, 777, 1295, 3885. There are 16 integers that are factors of 3885. The greatest factor of 3885 is 3885.

4. How to Find the LCM of 3880 and 3885?

Answer:

Least Common Multiple of 3880 and 3885 = 3014760

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 3885

3885 = 3 x 5 x 7 x 37

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

LCM = 3014760 = 2 x 2 x 2 x 3 x 5 x 7 x 37 x 97

Step 4: Therefore, the least common multiple of 3880 and 3885 is 3014760.