Least Common Multiple of 3896 and 3903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3896 and 3903 the smallest integer that is 15206088 that is divisible by both numbers.

Least Common Multiple (LCM) of 3896 and 3903 is 15206088.

LCM(3896,3903) = 15206088

LCM of 3896 and 3903

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

LCM of:
and

Least Common Multiple of 3896 and 3903

LCM of 3896 and 3903 is 15206088

Least common multiple can be found by multiplying the highest exponent prime factors of 3896 and 3903. First we will calculate the prime factors of 3896 and 3903.

Prime Factorization of 3896


2 3896
2 1948
2 974
487 487
1

Prime factors of 3896 are 2,487. Prime factorization of 3896 in exponential form is:

3896 = 23×4871

Prime Factorization of 3903


3 3903
1301 1301
1

Prime factors of 3903 are 3,1301. Prime factorization of 3903 in exponential form is:

3903 = 31×13011

Now multiplying the highest exponent prime factors to calculate the LCM of 3896 and 3903.

LCM(3896,3903) = 23×31×4871×13011
LCM(3896,3903) = 15206088

Factors of 3896

List of positive integer factors of 3896 that divides 3896 without a remainder.

1, 2, 4, 8, 487, 974, 1948, 3896

Factors of 3903

List of positive integer factors of 3903 that divides 3903 without a remainder.

1, 3, 1301, 3903

Least Common Multiple of 3896 and 3903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3896 and 3903, than apply into the LCM equation.

GCF(3896,3903) = 1
LCM(3896,3903) = ( 3896 × 3903) / 1
LCM(3896,3903) = 15206088 / 1
LCM(3896,3903) = 15206088

Properties of LCM 3896 and 3903

(i) The LCM of 3903 and 3896 is associative

LCM of 3896 and 3903 = LCM of 3903 and 3896

Related Least Common Multiples of 3896

Related Least Common Multiples of 3903

Frequently Asked Questions on LCM of 3896 and 3903

1. What is the LCM of 3896 and 3903?

Answer: LCM of 3896 and 3903 is 15206088.

2. What are the Factors of 3896?

Answer: Factors of 3896 are 1, 2, 4, 8, 487, 974, 1948, 3896. There are 8 integers that are factors of 3896. The greatest factor of 3896 is 3896.

3. What are the Factors of 3903?

Answer: Factors of 3903 are 1, 3, 1301, 3903. There are 4 integers that are factors of 3903. The greatest factor of 3903 is 3903.

4. How to Find the LCM of 3896 and 3903?

Answer:

Least Common Multiple of 3896 and 3903 = 15206088

Step 1: Find the prime factorization of 3896

3896 = 2 x 2 x 2 x 487

Step 2: Find the prime factorization of 3903

3903 = 3 x 1301

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

LCM = 15206088 = 2 x 2 x 2 x 3 x 487 x 1301

Step 4: Therefore, the least common multiple of 3896 and 3903 is 15206088.