Least Common Multiple of 3888 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 3888 and 3895 the smallest integer that is 15143760 that is divisible by both numbers.

Least Common Multiple (LCM) of 3888 and 3895 is 15143760.

LCM(3888,3895) = 15143760

LCM of 3888 and 3895

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

LCM of:
and

Least Common Multiple of 3888 and 3895

LCM of 3888 and 3895 is 15143760

Least common multiple can be found by multiplying the highest exponent prime factors of 3888 and 3895. First we will calculate the prime factors of 3888 and 3895.

Prime Factorization of 3888


2 3888
2 1944
2 972
2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 3888 are 2,3. Prime factorization of 3888 in exponential form is:

3888 = 24×35

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 3888 and 3895.

LCM(3888,3895) = 24×35×51×191×411
LCM(3888,3895) = 15143760

Factors of 3888

List of positive integer factors of 3888 that divides 3888 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944, 3888

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 3888 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 3888 and 3895, than apply into the LCM equation.

GCF(3888,3895) = 1
LCM(3888,3895) = ( 3888 × 3895) / 1
LCM(3888,3895) = 15143760 / 1
LCM(3888,3895) = 15143760

Properties of LCM 3888 and 3895

(i) The LCM of 3895 and 3888 is associative

LCM of 3888 and 3895 = LCM of 3895 and 3888

Related Least Common Multiples of 3888

Related Least Common Multiples of 3895

Frequently Asked Questions on LCM of 3888 and 3895

1. What is the LCM of 3888 and 3895?

Answer: LCM of 3888 and 3895 is 15143760.

2. What are the Factors of 3888?

Answer: Factors of 3888 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944, 3888. There are 30 integers that are factors of 3888. The greatest factor of 3888 is 3888.

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 3888 and 3895?

Answer:

Least Common Multiple of 3888 and 3895 = 15143760

Step 1: Find the prime factorization of 3888

3888 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3

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 = 15143760 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 19 x 41

Step 4: Therefore, the least common multiple of 3888 and 3895 is 15143760.