Least Common Multiple of 3903 and 3907

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 3907 the smallest integer that is 15249021 that is divisible by both numbers.

Least Common Multiple (LCM) of 3903 and 3907 is 15249021.

LCM(3903,3907) = 15249021

LCM of 3903 and 3907

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

LCM of:
and

Least Common Multiple of 3903 and 3907

LCM of 3903 and 3907 is 15249021

Least common multiple can be found by multiplying the highest exponent prime factors of 3903 and 3907. First we will calculate the prime factors of 3903 and 3907.

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 3907


3907 3907
1

Prime factors of 3907 are 3907. Prime factorization of 3907 in exponential form is:

3907 = 39071

Now multiplying the highest exponent prime factors to calculate the LCM of 3903 and 3907.

LCM(3903,3907) = 31×13011×39071
LCM(3903,3907) = 15249021

Factors of 3903

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

1, 3, 1301, 3903

Factors of 3907

List of positive integer factors of 3907 that divides 3907 without a remainder.

1, 3907

Least Common Multiple of 3903 and 3907 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 3907, than apply into the LCM equation.

GCF(3903,3907) = 1
LCM(3903,3907) = ( 3903 × 3907) / 1
LCM(3903,3907) = 15249021 / 1
LCM(3903,3907) = 15249021

Properties of LCM 3903 and 3907

(i) The LCM of 3907 and 3903 is associative

LCM of 3903 and 3907 = LCM of 3907 and 3903

Related Least Common Multiples of 3903

Related Least Common Multiples of 3907

Frequently Asked Questions on LCM of 3903 and 3907

1. What is the LCM of 3903 and 3907?

Answer: LCM of 3903 and 3907 is 15249021.

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 3907?

Answer: Factors of 3907 are 1, 3907. There are 2 integers that are factors of 3907. The greatest factor of 3907 is 3907.

4. How to Find the LCM of 3903 and 3907?

Answer:

Least Common Multiple of 3903 and 3907 = 15249021

Step 1: Find the prime factorization of 3903

3903 = 3 x 1301

Step 2: Find the prime factorization of 3907

3907 = 3907

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

LCM = 15249021 = 3 x 1301 x 3907

Step 4: Therefore, the least common multiple of 3903 and 3907 is 15249021.