Least Common Multiple of 3903 and 3908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3903 and 3908 the smallest integer that is 15252924 that is divisible by both numbers.

Least Common Multiple (LCM) of 3903 and 3908 is 15252924.

LCM(3903,3908) = 15252924

LCM of 3903 and 3908

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

LCM of:
and

Least Common Multiple of 3903 and 3908

LCM of 3903 and 3908 is 15252924

Least common multiple can be found by multiplying the highest exponent prime factors of 3903 and 3908. First we will calculate the prime factors of 3903 and 3908.

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

Prime Factorization of 3908


2 3908
2 1954
977 977
1

Prime factors of 3908 are 2,977. Prime factorization of 3908 in exponential form is:

3908 = 22×9771

Now multiplying the highest exponent prime factors to calculate the LCM of 3903 and 3908.

LCM(3903,3908) = 22×31×9771×13011
LCM(3903,3908) = 15252924

Factors of 3903

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

1, 3, 1301, 3903

Factors of 3908

List of positive integer factors of 3908 that divides 3908 without a remainder.

1, 2, 4, 977, 1954, 3908

Least Common Multiple of 3903 and 3908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3903 and 3908, than apply into the LCM equation.

GCF(3903,3908) = 1
LCM(3903,3908) = ( 3903 × 3908) / 1
LCM(3903,3908) = 15252924 / 1
LCM(3903,3908) = 15252924

Properties of LCM 3903 and 3908

(i) The LCM of 3908 and 3903 is associative

LCM of 3903 and 3908 = LCM of 3908 and 3903

Related Least Common Multiples of 3903

Related Least Common Multiples of 3908

Frequently Asked Questions on LCM of 3903 and 3908

1. What is the LCM of 3903 and 3908?

Answer: LCM of 3903 and 3908 is 15252924.

2. 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.

3. What are the Factors of 3908?

Answer: Factors of 3908 are 1, 2, 4, 977, 1954, 3908. There are 6 integers that are factors of 3908. The greatest factor of 3908 is 3908.

4. How to Find the LCM of 3903 and 3908?

Answer:

Least Common Multiple of 3903 and 3908 = 15252924

Step 1: Find the prime factorization of 3903

3903 = 3 x 1301

Step 2: Find the prime factorization of 3908

3908 = 2 x 2 x 977

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

LCM = 15252924 = 2 x 2 x 3 x 977 x 1301

Step 4: Therefore, the least common multiple of 3903 and 3908 is 15252924.