Least Common Multiple of 9903 and 9907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9903 and 9907 the smallest integer that is 98109021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9903 and 9907 is 98109021.

LCM(9903,9907) = 98109021

LCM of 9903 and 9907

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

LCM of:
and

Least Common Multiple of 9903 and 9907

LCM of 9903 and 9907 is 98109021

Least common multiple can be found by multiplying the highest exponent prime factors of 9903 and 9907. First we will calculate the prime factors of 9903 and 9907.

Prime Factorization of 9903


3 9903
3301 3301
1

Prime factors of 9903 are 3,3301. Prime factorization of 9903 in exponential form is:

9903 = 31×33011

Prime Factorization of 9907


9907 9907
1

Prime factors of 9907 are 9907. Prime factorization of 9907 in exponential form is:

9907 = 99071

Now multiplying the highest exponent prime factors to calculate the LCM of 9903 and 9907.

LCM(9903,9907) = 31×33011×99071
LCM(9903,9907) = 98109021

Factors of 9903

List of positive integer factors of 9903 that divides 9903 without a remainder.

1, 3, 3301, 9903

Factors of 9907

List of positive integer factors of 9907 that divides 9907 without a remainder.

1, 9907

Least Common Multiple of 9903 and 9907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9903 and 9907, than apply into the LCM equation.

GCF(9903,9907) = 1
LCM(9903,9907) = ( 9903 × 9907) / 1
LCM(9903,9907) = 98109021 / 1
LCM(9903,9907) = 98109021

Properties of LCM 9903 and 9907

(i) The LCM of 9907 and 9903 is associative

LCM of 9903 and 9907 = LCM of 9907 and 9903

Related Least Common Multiples of 9903

Related Least Common Multiples of 9907

Frequently Asked Questions on LCM of 9903 and 9907

1. What is the LCM of 9903 and 9907?

Answer: LCM of 9903 and 9907 is 98109021.

2. What are the Factors of 9903?

Answer: Factors of 9903 are 1, 3, 3301, 9903. There are 4 integers that are factors of 9903. The greatest factor of 9903 is 9903.

3. What are the Factors of 9907?

Answer: Factors of 9907 are 1, 9907. There are 2 integers that are factors of 9907. The greatest factor of 9907 is 9907.

4. How to Find the LCM of 9903 and 9907?

Answer:

Least Common Multiple of 9903 and 9907 = 98109021

Step 1: Find the prime factorization of 9903

9903 = 3 x 3301

Step 2: Find the prime factorization of 9907

9907 = 9907

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

LCM = 98109021 = 3 x 3301 x 9907

Step 4: Therefore, the least common multiple of 9903 and 9907 is 98109021.