Least Common Multiple of 3878 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 3878 and 3885 the smallest integer that is 2152290 that is divisible by both numbers.

Least Common Multiple (LCM) of 3878 and 3885 is 2152290.

LCM(3878,3885) = 2152290

LCM of 3878 and 3885

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

LCM of:
and

Least Common Multiple of 3878 and 3885

LCM of 3878 and 3885 is 2152290

Least common multiple can be found by multiplying the highest exponent prime factors of 3878 and 3885. First we will calculate the prime factors of 3878 and 3885.

Prime Factorization of 3878


2 3878
7 1939
277 277
1

Prime factors of 3878 are 2, 7,277. Prime factorization of 3878 in exponential form is:

3878 = 21×71×2771

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 3878 and 3885.

LCM(3878,3885) = 21×31×51×71×371×2771
LCM(3878,3885) = 2152290

Factors of 3878

List of positive integer factors of 3878 that divides 3878 without a remainder.

1, 2, 7, 14, 277, 554, 1939, 3878

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 3878 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 3878 and 3885, than apply into the LCM equation.

GCF(3878,3885) = 7
LCM(3878,3885) = ( 3878 × 3885) / 7
LCM(3878,3885) = 15066030 / 7
LCM(3878,3885) = 2152290

Properties of LCM 3878 and 3885

(i) The LCM of 3885 and 3878 is associative

LCM of 3878 and 3885 = LCM of 3885 and 3878

Related Least Common Multiples of 3878

Related Least Common Multiples of 3885

Frequently Asked Questions on LCM of 3878 and 3885

1. What is the LCM of 3878 and 3885?

Answer: LCM of 3878 and 3885 is 2152290.

2. What are the Factors of 3878?

Answer: Factors of 3878 are 1, 2, 7, 14, 277, 554, 1939, 3878. There are 8 integers that are factors of 3878. The greatest factor of 3878 is 3878.

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 3878 and 3885?

Answer:

Least Common Multiple of 3878 and 3885 = 2152290

Step 1: Find the prime factorization of 3878

3878 = 2 x 7 x 277

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 = 2152290 = 2 x 3 x 5 x 7 x 37 x 277

Step 4: Therefore, the least common multiple of 3878 and 3885 is 2152290.