Least Common Multiple of 9924 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 9924 and 9928 the smallest integer that is 24631368 that is divisible by both numbers.

Least Common Multiple (LCM) of 9924 and 9928 is 24631368.

LCM(9924,9928) = 24631368

LCM of 9924 and 9928

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

LCM of:
and

Least Common Multiple of 9924 and 9928

LCM of 9924 and 9928 is 24631368

Least common multiple can be found by multiplying the highest exponent prime factors of 9924 and 9928. First we will calculate the prime factors of 9924 and 9928.

Prime Factorization of 9924


2 9924
2 4962
3 2481
827 827
1

Prime factors of 9924 are 2, 3,827. Prime factorization of 9924 in exponential form is:

9924 = 22×31×8271

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 9924 and 9928.

LCM(9924,9928) = 23×31×171×731×8271
LCM(9924,9928) = 24631368

Factors of 9924

List of positive integer factors of 9924 that divides 9924 without a remainder.

1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924

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 9924 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 9924 and 9928, than apply into the LCM equation.

GCF(9924,9928) = 4
LCM(9924,9928) = ( 9924 × 9928) / 4
LCM(9924,9928) = 98525472 / 4
LCM(9924,9928) = 24631368

Properties of LCM 9924 and 9928

(i) The LCM of 9928 and 9924 is associative

LCM of 9924 and 9928 = LCM of 9928 and 9924

Related Least Common Multiples of 9924

Related Least Common Multiples of 9928

Frequently Asked Questions on LCM of 9924 and 9928

1. What is the LCM of 9924 and 9928?

Answer: LCM of 9924 and 9928 is 24631368.

2. What are the Factors of 9924?

Answer: Factors of 9924 are 1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924. There are 12 integers that are factors of 9924. The greatest factor of 9924 is 9924.

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 9924 and 9928?

Answer:

Least Common Multiple of 9924 and 9928 = 24631368

Step 1: Find the prime factorization of 9924

9924 = 2 x 2 x 3 x 827

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 = 24631368 = 2 x 2 x 2 x 3 x 17 x 73 x 827

Step 4: Therefore, the least common multiple of 9924 and 9928 is 24631368.