Least Common Multiple of 3885 and 3890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3885 and 3890 the smallest integer that is 3022530 that is divisible by both numbers.

Least Common Multiple (LCM) of 3885 and 3890 is 3022530.

LCM(3885,3890) = 3022530

LCM of 3885 and 3890

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

LCM of:
and

Least Common Multiple of 3885 and 3890

LCM of 3885 and 3890 is 3022530

Least common multiple can be found by multiplying the highest exponent prime factors of 3885 and 3890. First we will calculate the prime factors of 3885 and 3890.

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

Prime Factorization of 3890


2 3890
5 1945
389 389
1

Prime factors of 3890 are 2, 5,389. Prime factorization of 3890 in exponential form is:

3890 = 21×51×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 3885 and 3890.

LCM(3885,3890) = 21×31×51×71×371×3891
LCM(3885,3890) = 3022530

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

Factors of 3890

List of positive integer factors of 3890 that divides 3890 without a remainder.

1, 2, 5, 10, 389, 778, 1945, 3890

Least Common Multiple of 3885 and 3890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3885 and 3890, than apply into the LCM equation.

GCF(3885,3890) = 5
LCM(3885,3890) = ( 3885 × 3890) / 5
LCM(3885,3890) = 15112650 / 5
LCM(3885,3890) = 3022530

Properties of LCM 3885 and 3890

(i) The LCM of 3890 and 3885 is associative

LCM of 3885 and 3890 = LCM of 3890 and 3885

Related Least Common Multiples of 3885

Related Least Common Multiples of 3890

Frequently Asked Questions on LCM of 3885 and 3890

1. What is the LCM of 3885 and 3890?

Answer: LCM of 3885 and 3890 is 3022530.

2. 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.

3. What are the Factors of 3890?

Answer: Factors of 3890 are 1, 2, 5, 10, 389, 778, 1945, 3890. There are 8 integers that are factors of 3890. The greatest factor of 3890 is 3890.

4. How to Find the LCM of 3885 and 3890?

Answer:

Least Common Multiple of 3885 and 3890 = 3022530

Step 1: Find the prime factorization of 3885

3885 = 3 x 5 x 7 x 37

Step 2: Find the prime factorization of 3890

3890 = 2 x 5 x 389

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

LCM = 3022530 = 2 x 3 x 5 x 7 x 37 x 389

Step 4: Therefore, the least common multiple of 3885 and 3890 is 3022530.