Least Common Multiple of 9907 and 9913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9907 and 9913 the smallest integer that is 98208091 that is divisible by both numbers.

Least Common Multiple (LCM) of 9907 and 9913 is 98208091.

LCM(9907,9913) = 98208091

LCM of 9907 and 9913

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

LCM of:
and

Least Common Multiple of 9907 and 9913

LCM of 9907 and 9913 is 98208091

Least common multiple can be found by multiplying the highest exponent prime factors of 9907 and 9913. First we will calculate the prime factors of 9907 and 9913.

Prime Factorization of 9907


9907 9907
1

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

9907 = 99071

Prime Factorization of 9913


23 9913
431 431
1

Prime factors of 9913 are 23,431. Prime factorization of 9913 in exponential form is:

9913 = 231×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 9907 and 9913.

LCM(9907,9913) = 231×4311×99071
LCM(9907,9913) = 98208091

Factors of 9907

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

1, 9907

Factors of 9913

List of positive integer factors of 9913 that divides 9913 without a remainder.

1, 23, 431, 9913

Least Common Multiple of 9907 and 9913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9907 and 9913, than apply into the LCM equation.

GCF(9907,9913) = 1
LCM(9907,9913) = ( 9907 × 9913) / 1
LCM(9907,9913) = 98208091 / 1
LCM(9907,9913) = 98208091

Properties of LCM 9907 and 9913

(i) The LCM of 9913 and 9907 is associative

LCM of 9907 and 9913 = LCM of 9913 and 9907

Related Least Common Multiples of 9907

Related Least Common Multiples of 9913

Frequently Asked Questions on LCM of 9907 and 9913

1. What is the LCM of 9907 and 9913?

Answer: LCM of 9907 and 9913 is 98208091.

2. 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.

3. What are the Factors of 9913?

Answer: Factors of 9913 are 1, 23, 431, 9913. There are 4 integers that are factors of 9913. The greatest factor of 9913 is 9913.

4. How to Find the LCM of 9907 and 9913?

Answer:

Least Common Multiple of 9907 and 9913 = 98208091

Step 1: Find the prime factorization of 9907

9907 = 9907

Step 2: Find the prime factorization of 9913

9913 = 23 x 431

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

LCM = 98208091 = 23 x 431 x 9907

Step 4: Therefore, the least common multiple of 9907 and 9913 is 98208091.