Least Common Multiple of 9911 and 9915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9911 and 9915 the smallest integer that is 98267565 that is divisible by both numbers.

Least Common Multiple (LCM) of 9911 and 9915 is 98267565.

LCM(9911,9915) = 98267565

LCM of 9911 and 9915

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

LCM of:
and

Least Common Multiple of 9911 and 9915

LCM of 9911 and 9915 is 98267565

Least common multiple can be found by multiplying the highest exponent prime factors of 9911 and 9915. First we will calculate the prime factors of 9911 and 9915.

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

Prime Factorization of 9915


3 9915
5 3305
661 661
1

Prime factors of 9915 are 3, 5,661. Prime factorization of 9915 in exponential form is:

9915 = 31×51×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 9911 and 9915.

LCM(9911,9915) = 31×51×111×171×531×6611
LCM(9911,9915) = 98267565

Factors of 9911

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

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

Factors of 9915

List of positive integer factors of 9915 that divides 9915 without a remainder.

1, 3, 5, 15, 661, 1983, 3305, 9915

Least Common Multiple of 9911 and 9915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9911 and 9915, than apply into the LCM equation.

GCF(9911,9915) = 1
LCM(9911,9915) = ( 9911 × 9915) / 1
LCM(9911,9915) = 98267565 / 1
LCM(9911,9915) = 98267565

Properties of LCM 9911 and 9915

(i) The LCM of 9915 and 9911 is associative

LCM of 9911 and 9915 = LCM of 9915 and 9911

Related Least Common Multiples of 9911

Related Least Common Multiples of 9915

Frequently Asked Questions on LCM of 9911 and 9915

1. What is the LCM of 9911 and 9915?

Answer: LCM of 9911 and 9915 is 98267565.

2. 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.

3. What are the Factors of 9915?

Answer: Factors of 9915 are 1, 3, 5, 15, 661, 1983, 3305, 9915. There are 8 integers that are factors of 9915. The greatest factor of 9915 is 9915.

4. How to Find the LCM of 9911 and 9915?

Answer:

Least Common Multiple of 9911 and 9915 = 98267565

Step 1: Find the prime factorization of 9911

9911 = 11 x 17 x 53

Step 2: Find the prime factorization of 9915

9915 = 3 x 5 x 661

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

LCM = 98267565 = 3 x 5 x 11 x 17 x 53 x 661

Step 4: Therefore, the least common multiple of 9911 and 9915 is 98267565.