Least Common Multiple of 9923 and 9928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9923 and 9928 the smallest integer that is 98515544 that is divisible by both numbers.

Least Common Multiple (LCM) of 9923 and 9928 is 98515544.

LCM(9923,9928) = 98515544

LCM of 9923 and 9928

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

LCM of:
and

Least Common Multiple of 9923 and 9928

LCM of 9923 and 9928 is 98515544

Least common multiple can be found by multiplying the highest exponent prime factors of 9923 and 9928. First we will calculate the prime factors of 9923 and 9928.

Prime Factorization of 9923


9923 9923
1

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

9923 = 99231

Prime Factorization of 9928


2 9928
2 4964
2 2482
17 1241
73 73
1

Prime factors of 9928 are 2, 17,73. Prime factorization of 9928 in exponential form is:

9928 = 23×171×731

Now multiplying the highest exponent prime factors to calculate the LCM of 9923 and 9928.

LCM(9923,9928) = 23×171×731×99231
LCM(9923,9928) = 98515544

Factors of 9923

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

1, 9923

Factors of 9928

List of positive integer factors of 9928 that divides 9928 without a remainder.

1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928

Least Common Multiple of 9923 and 9928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9923 and 9928, than apply into the LCM equation.

GCF(9923,9928) = 1
LCM(9923,9928) = ( 9923 × 9928) / 1
LCM(9923,9928) = 98515544 / 1
LCM(9923,9928) = 98515544

Properties of LCM 9923 and 9928

(i) The LCM of 9928 and 9923 is associative

LCM of 9923 and 9928 = LCM of 9928 and 9923

Related Least Common Multiples of 9923

Related Least Common Multiples of 9928

Frequently Asked Questions on LCM of 9923 and 9928

1. What is the LCM of 9923 and 9928?

Answer: LCM of 9923 and 9928 is 98515544.

2. 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.

3. What are the Factors of 9928?

Answer: Factors of 9928 are 1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928. There are 16 integers that are factors of 9928. The greatest factor of 9928 is 9928.

4. How to Find the LCM of 9923 and 9928?

Answer:

Least Common Multiple of 9923 and 9928 = 98515544

Step 1: Find the prime factorization of 9923

9923 = 9923

Step 2: Find the prime factorization of 9928

9928 = 2 x 2 x 2 x 17 x 73

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

LCM = 98515544 = 2 x 2 x 2 x 17 x 73 x 9923

Step 4: Therefore, the least common multiple of 9923 and 9928 is 98515544.