Least Common Multiple of 3890 and 3895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3890 and 3895 the smallest integer that is 3030310 that is divisible by both numbers.

Least Common Multiple (LCM) of 3890 and 3895 is 3030310.

LCM(3890,3895) = 3030310

LCM of 3890 and 3895

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

LCM of:
and

Least Common Multiple of 3890 and 3895

LCM of 3890 and 3895 is 3030310

Least common multiple can be found by multiplying the highest exponent prime factors of 3890 and 3895. First we will calculate the prime factors of 3890 and 3895.

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

Prime Factorization of 3895


5 3895
19 779
41 41
1

Prime factors of 3895 are 5, 19,41. Prime factorization of 3895 in exponential form is:

3895 = 51×191×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3890 and 3895.

LCM(3890,3895) = 21×51×191×411×3891
LCM(3890,3895) = 3030310

Factors of 3890

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

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

Factors of 3895

List of positive integer factors of 3895 that divides 3895 without a remainder.

1, 5, 19, 41, 95, 205, 779, 3895

Least Common Multiple of 3890 and 3895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3890 and 3895, than apply into the LCM equation.

GCF(3890,3895) = 5
LCM(3890,3895) = ( 3890 × 3895) / 5
LCM(3890,3895) = 15151550 / 5
LCM(3890,3895) = 3030310

Properties of LCM 3890 and 3895

(i) The LCM of 3895 and 3890 is associative

LCM of 3890 and 3895 = LCM of 3895 and 3890

Related Least Common Multiples of 3890

Related Least Common Multiples of 3895

Frequently Asked Questions on LCM of 3890 and 3895

1. What is the LCM of 3890 and 3895?

Answer: LCM of 3890 and 3895 is 3030310.

2. 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.

3. What are the Factors of 3895?

Answer: Factors of 3895 are 1, 5, 19, 41, 95, 205, 779, 3895. There are 8 integers that are factors of 3895. The greatest factor of 3895 is 3895.

4. How to Find the LCM of 3890 and 3895?

Answer:

Least Common Multiple of 3890 and 3895 = 3030310

Step 1: Find the prime factorization of 3890

3890 = 2 x 5 x 389

Step 2: Find the prime factorization of 3895

3895 = 5 x 19 x 41

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

LCM = 3030310 = 2 x 5 x 19 x 41 x 389

Step 4: Therefore, the least common multiple of 3890 and 3895 is 3030310.