Least Common Multiple of 3865 and 3872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3865 and 3872 the smallest integer that is 14965280 that is divisible by both numbers.

Least Common Multiple (LCM) of 3865 and 3872 is 14965280.

LCM(3865,3872) = 14965280

LCM of 3865 and 3872

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

LCM of:
and

Least Common Multiple of 3865 and 3872

LCM of 3865 and 3872 is 14965280

Least common multiple can be found by multiplying the highest exponent prime factors of 3865 and 3872. First we will calculate the prime factors of 3865 and 3872.

Prime Factorization of 3865


5 3865
773 773
1

Prime factors of 3865 are 5,773. Prime factorization of 3865 in exponential form is:

3865 = 51×7731

Prime Factorization of 3872


2 3872
2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 3872 are 2,11. Prime factorization of 3872 in exponential form is:

3872 = 25×112

Now multiplying the highest exponent prime factors to calculate the LCM of 3865 and 3872.

LCM(3865,3872) = 25×51×112×7731
LCM(3865,3872) = 14965280

Factors of 3865

List of positive integer factors of 3865 that divides 3865 without a remainder.

1, 5, 773, 3865

Factors of 3872

List of positive integer factors of 3872 that divides 3872 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872

Least Common Multiple of 3865 and 3872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3865 and 3872, than apply into the LCM equation.

GCF(3865,3872) = 1
LCM(3865,3872) = ( 3865 × 3872) / 1
LCM(3865,3872) = 14965280 / 1
LCM(3865,3872) = 14965280

Properties of LCM 3865 and 3872

(i) The LCM of 3872 and 3865 is associative

LCM of 3865 and 3872 = LCM of 3872 and 3865

Related Least Common Multiples of 3865

Related Least Common Multiples of 3872

Frequently Asked Questions on LCM of 3865 and 3872

1. What is the LCM of 3865 and 3872?

Answer: LCM of 3865 and 3872 is 14965280.

2. What are the Factors of 3865?

Answer: Factors of 3865 are 1, 5, 773, 3865. There are 4 integers that are factors of 3865. The greatest factor of 3865 is 3865.

3. What are the Factors of 3872?

Answer: Factors of 3872 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872. There are 18 integers that are factors of 3872. The greatest factor of 3872 is 3872.

4. How to Find the LCM of 3865 and 3872?

Answer:

Least Common Multiple of 3865 and 3872 = 14965280

Step 1: Find the prime factorization of 3865

3865 = 5 x 773

Step 2: Find the prime factorization of 3872

3872 = 2 x 2 x 2 x 2 x 2 x 11 x 11

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

LCM = 14965280 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 11 x 773

Step 4: Therefore, the least common multiple of 3865 and 3872 is 14965280.