Least Common Multiple of 9909 and 9916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9909 and 9916 the smallest integer that is 98257644 that is divisible by both numbers.

Least Common Multiple (LCM) of 9909 and 9916 is 98257644.

LCM(9909,9916) = 98257644

LCM of 9909 and 9916

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

LCM of:
and

Least Common Multiple of 9909 and 9916

LCM of 9909 and 9916 is 98257644

Least common multiple can be found by multiplying the highest exponent prime factors of 9909 and 9916. First we will calculate the prime factors of 9909 and 9916.

Prime Factorization of 9909


3 9909
3 3303
3 1101
367 367
1

Prime factors of 9909 are 3,367. Prime factorization of 9909 in exponential form is:

9909 = 33×3671

Prime Factorization of 9916


2 9916
2 4958
37 2479
67 67
1

Prime factors of 9916 are 2, 37,67. Prime factorization of 9916 in exponential form is:

9916 = 22×371×671

Now multiplying the highest exponent prime factors to calculate the LCM of 9909 and 9916.

LCM(9909,9916) = 22×33×371×671×3671
LCM(9909,9916) = 98257644

Factors of 9909

List of positive integer factors of 9909 that divides 9909 without a remainder.

1, 3, 9, 27, 367, 1101, 3303, 9909

Factors of 9916

List of positive integer factors of 9916 that divides 9916 without a remainder.

1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916

Least Common Multiple of 9909 and 9916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9909 and 9916, than apply into the LCM equation.

GCF(9909,9916) = 1
LCM(9909,9916) = ( 9909 × 9916) / 1
LCM(9909,9916) = 98257644 / 1
LCM(9909,9916) = 98257644

Properties of LCM 9909 and 9916

(i) The LCM of 9916 and 9909 is associative

LCM of 9909 and 9916 = LCM of 9916 and 9909

Related Least Common Multiples of 9909

Related Least Common Multiples of 9916

Frequently Asked Questions on LCM of 9909 and 9916

1. What is the LCM of 9909 and 9916?

Answer: LCM of 9909 and 9916 is 98257644.

2. What are the Factors of 9909?

Answer: Factors of 9909 are 1, 3, 9, 27, 367, 1101, 3303, 9909. There are 8 integers that are factors of 9909. The greatest factor of 9909 is 9909.

3. What are the Factors of 9916?

Answer: Factors of 9916 are 1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916. There are 12 integers that are factors of 9916. The greatest factor of 9916 is 9916.

4. How to Find the LCM of 9909 and 9916?

Answer:

Least Common Multiple of 9909 and 9916 = 98257644

Step 1: Find the prime factorization of 9909

9909 = 3 x 3 x 3 x 367

Step 2: Find the prime factorization of 9916

9916 = 2 x 2 x 37 x 67

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

LCM = 98257644 = 2 x 2 x 3 x 3 x 3 x 37 x 67 x 367

Step 4: Therefore, the least common multiple of 9909 and 9916 is 98257644.