Least Common Multiple of 9907 and 9911

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 9911 the smallest integer that is 98188277 that is divisible by both numbers.

Least Common Multiple (LCM) of 9907 and 9911 is 98188277.

LCM(9907,9911) = 98188277

LCM of 9907 and 9911

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

LCM of:
and

Least Common Multiple of 9907 and 9911

LCM of 9907 and 9911 is 98188277

Least common multiple can be found by multiplying the highest exponent prime factors of 9907 and 9911. First we will calculate the prime factors of 9907 and 9911.

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 9911


11 9911
17 901
53 53
1

Prime factors of 9911 are 11, 17,53. Prime factorization of 9911 in exponential form is:

9911 = 111×171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9907 and 9911.

LCM(9907,9911) = 111×171×531×99071
LCM(9907,9911) = 98188277

Factors of 9907

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

1, 9907

Factors of 9911

List of positive integer factors of 9911 that divides 9911 without a remainder.

1, 11, 17, 53, 187, 583, 901, 9911

Least Common Multiple of 9907 and 9911 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 9911, than apply into the LCM equation.

GCF(9907,9911) = 1
LCM(9907,9911) = ( 9907 × 9911) / 1
LCM(9907,9911) = 98188277 / 1
LCM(9907,9911) = 98188277

Properties of LCM 9907 and 9911

(i) The LCM of 9911 and 9907 is associative

LCM of 9907 and 9911 = LCM of 9911 and 9907

Related Least Common Multiples of 9907

Related Least Common Multiples of 9911

Frequently Asked Questions on LCM of 9907 and 9911

1. What is the LCM of 9907 and 9911?

Answer: LCM of 9907 and 9911 is 98188277.

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 9911?

Answer: Factors of 9911 are 1, 11, 17, 53, 187, 583, 901, 9911. There are 8 integers that are factors of 9911. The greatest factor of 9911 is 9911.

4. How to Find the LCM of 9907 and 9911?

Answer:

Least Common Multiple of 9907 and 9911 = 98188277

Step 1: Find the prime factorization of 9907

9907 = 9907

Step 2: Find the prime factorization of 9911

9911 = 11 x 17 x 53

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

LCM = 98188277 = 11 x 17 x 53 x 9907

Step 4: Therefore, the least common multiple of 9907 and 9911 is 98188277.