Least Common Multiple of 9915 and 9917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9915 and 9917 the smallest integer that is 98327055 that is divisible by both numbers.

Least Common Multiple (LCM) of 9915 and 9917 is 98327055.

LCM(9915,9917) = 98327055

LCM of 9915 and 9917

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

LCM of:
and

Least Common Multiple of 9915 and 9917

LCM of 9915 and 9917 is 98327055

Least common multiple can be found by multiplying the highest exponent prime factors of 9915 and 9917. First we will calculate the prime factors of 9915 and 9917.

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

Prime Factorization of 9917


47 9917
211 211
1

Prime factors of 9917 are 47,211. Prime factorization of 9917 in exponential form is:

9917 = 471×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 9915 and 9917.

LCM(9915,9917) = 31×51×471×2111×6611
LCM(9915,9917) = 98327055

Factors of 9915

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

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

Factors of 9917

List of positive integer factors of 9917 that divides 9917 without a remainder.

1, 47, 211, 9917

Least Common Multiple of 9915 and 9917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9915 and 9917, than apply into the LCM equation.

GCF(9915,9917) = 1
LCM(9915,9917) = ( 9915 × 9917) / 1
LCM(9915,9917) = 98327055 / 1
LCM(9915,9917) = 98327055

Properties of LCM 9915 and 9917

(i) The LCM of 9917 and 9915 is associative

LCM of 9915 and 9917 = LCM of 9917 and 9915

Related Least Common Multiples of 9915

Related Least Common Multiples of 9917

Frequently Asked Questions on LCM of 9915 and 9917

1. What is the LCM of 9915 and 9917?

Answer: LCM of 9915 and 9917 is 98327055.

2. 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.

3. What are the Factors of 9917?

Answer: Factors of 9917 are 1, 47, 211, 9917. There are 4 integers that are factors of 9917. The greatest factor of 9917 is 9917.

4. How to Find the LCM of 9915 and 9917?

Answer:

Least Common Multiple of 9915 and 9917 = 98327055

Step 1: Find the prime factorization of 9915

9915 = 3 x 5 x 661

Step 2: Find the prime factorization of 9917

9917 = 47 x 211

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

LCM = 98327055 = 3 x 5 x 47 x 211 x 661

Step 4: Therefore, the least common multiple of 9915 and 9917 is 98327055.