Least Common Multiple of 3879 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 3879 and 3885 the smallest integer that is 5023305 that is divisible by both numbers.

Least Common Multiple (LCM) of 3879 and 3885 is 5023305.

LCM(3879,3885) = 5023305

LCM of 3879 and 3885

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

LCM of:
and

Least Common Multiple of 3879 and 3885

LCM of 3879 and 3885 is 5023305

Least common multiple can be found by multiplying the highest exponent prime factors of 3879 and 3885. First we will calculate the prime factors of 3879 and 3885.

Prime Factorization of 3879


3 3879
3 1293
431 431
1

Prime factors of 3879 are 3,431. Prime factorization of 3879 in exponential form is:

3879 = 32×4311

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 3879 and 3885.

LCM(3879,3885) = 32×51×71×371×4311
LCM(3879,3885) = 5023305

Factors of 3879

List of positive integer factors of 3879 that divides 3879 without a remainder.

1, 3, 9, 431, 1293, 3879

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 3879 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 3879 and 3885, than apply into the LCM equation.

GCF(3879,3885) = 3
LCM(3879,3885) = ( 3879 × 3885) / 3
LCM(3879,3885) = 15069915 / 3
LCM(3879,3885) = 5023305

Properties of LCM 3879 and 3885

(i) The LCM of 3885 and 3879 is associative

LCM of 3879 and 3885 = LCM of 3885 and 3879

Related Least Common Multiples of 3879

Related Least Common Multiples of 3885

Frequently Asked Questions on LCM of 3879 and 3885

1. What is the LCM of 3879 and 3885?

Answer: LCM of 3879 and 3885 is 5023305.

2. What are the Factors of 3879?

Answer: Factors of 3879 are 1, 3, 9, 431, 1293, 3879. There are 6 integers that are factors of 3879. The greatest factor of 3879 is 3879.

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 3879 and 3885?

Answer:

Least Common Multiple of 3879 and 3885 = 5023305

Step 1: Find the prime factorization of 3879

3879 = 3 x 3 x 431

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 = 5023305 = 3 x 3 x 5 x 7 x 37 x 431

Step 4: Therefore, the least common multiple of 3879 and 3885 is 5023305.