Least Common Multiple of 3903 and 3910

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 3910 the smallest integer that is 15260730 that is divisible by both numbers.

Least Common Multiple (LCM) of 3903 and 3910 is 15260730.

LCM(3903,3910) = 15260730

LCM of 3903 and 3910

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

LCM of:
and

Least Common Multiple of 3903 and 3910

LCM of 3903 and 3910 is 15260730

Least common multiple can be found by multiplying the highest exponent prime factors of 3903 and 3910. First we will calculate the prime factors of 3903 and 3910.

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 3910


2 3910
5 1955
17 391
23 23
1

Prime factors of 3910 are 2, 5, 17,23. Prime factorization of 3910 in exponential form is:

3910 = 21×51×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3903 and 3910.

LCM(3903,3910) = 21×31×51×171×231×13011
LCM(3903,3910) = 15260730

Factors of 3903

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

1, 3, 1301, 3903

Factors of 3910

List of positive integer factors of 3910 that divides 3910 without a remainder.

1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910

Least Common Multiple of 3903 and 3910 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 3910, than apply into the LCM equation.

GCF(3903,3910) = 1
LCM(3903,3910) = ( 3903 × 3910) / 1
LCM(3903,3910) = 15260730 / 1
LCM(3903,3910) = 15260730

Properties of LCM 3903 and 3910

(i) The LCM of 3910 and 3903 is associative

LCM of 3903 and 3910 = LCM of 3910 and 3903

Related Least Common Multiples of 3903

Related Least Common Multiples of 3910

Frequently Asked Questions on LCM of 3903 and 3910

1. What is the LCM of 3903 and 3910?

Answer: LCM of 3903 and 3910 is 15260730.

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 3910?

Answer: Factors of 3910 are 1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910. There are 16 integers that are factors of 3910. The greatest factor of 3910 is 3910.

4. How to Find the LCM of 3903 and 3910?

Answer:

Least Common Multiple of 3903 and 3910 = 15260730

Step 1: Find the prime factorization of 3903

3903 = 3 x 1301

Step 2: Find the prime factorization of 3910

3910 = 2 x 5 x 17 x 23

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

LCM = 15260730 = 2 x 3 x 5 x 17 x 23 x 1301

Step 4: Therefore, the least common multiple of 3903 and 3910 is 15260730.