Least Common Multiple of 9916 and 9923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9916 and 9923 the smallest integer that is 98396468 that is divisible by both numbers.

Least Common Multiple (LCM) of 9916 and 9923 is 98396468.

LCM(9916,9923) = 98396468

LCM of 9916 and 9923

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

LCM of:
and

Least Common Multiple of 9916 and 9923

LCM of 9916 and 9923 is 98396468

Least common multiple can be found by multiplying the highest exponent prime factors of 9916 and 9923. First we will calculate the prime factors of 9916 and 9923.

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

Prime Factorization of 9923


9923 9923
1

Prime factors of 9923 are 9923. Prime factorization of 9923 in exponential form is:

9923 = 99231

Now multiplying the highest exponent prime factors to calculate the LCM of 9916 and 9923.

LCM(9916,9923) = 22×371×671×99231
LCM(9916,9923) = 98396468

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

Factors of 9923

List of positive integer factors of 9923 that divides 9923 without a remainder.

1, 9923

Least Common Multiple of 9916 and 9923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9916 and 9923, than apply into the LCM equation.

GCF(9916,9923) = 1
LCM(9916,9923) = ( 9916 × 9923) / 1
LCM(9916,9923) = 98396468 / 1
LCM(9916,9923) = 98396468

Properties of LCM 9916 and 9923

(i) The LCM of 9923 and 9916 is associative

LCM of 9916 and 9923 = LCM of 9923 and 9916

Related Least Common Multiples of 9916

Related Least Common Multiples of 9923

Frequently Asked Questions on LCM of 9916 and 9923

1. What is the LCM of 9916 and 9923?

Answer: LCM of 9916 and 9923 is 98396468.

2. 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.

3. What are the Factors of 9923?

Answer: Factors of 9923 are 1, 9923. There are 2 integers that are factors of 9923. The greatest factor of 9923 is 9923.

4. How to Find the LCM of 9916 and 9923?

Answer:

Least Common Multiple of 9916 and 9923 = 98396468

Step 1: Find the prime factorization of 9916

9916 = 2 x 2 x 37 x 67

Step 2: Find the prime factorization of 9923

9923 = 9923

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

LCM = 98396468 = 2 x 2 x 37 x 67 x 9923

Step 4: Therefore, the least common multiple of 9916 and 9923 is 98396468.