Least Common Multiple of 9924 and 9929

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 9929 the smallest integer that is 98535396 that is divisible by both numbers.

Least Common Multiple (LCM) of 9924 and 9929 is 98535396.

LCM(9924,9929) = 98535396

LCM of 9924 and 9929

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

LCM of:
and

Least Common Multiple of 9924 and 9929

LCM of 9924 and 9929 is 98535396

Least common multiple can be found by multiplying the highest exponent prime factors of 9924 and 9929. First we will calculate the prime factors of 9924 and 9929.

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 9929


9929 9929
1

Prime factors of 9929 are 9929. Prime factorization of 9929 in exponential form is:

9929 = 99291

Now multiplying the highest exponent prime factors to calculate the LCM of 9924 and 9929.

LCM(9924,9929) = 22×31×8271×99291
LCM(9924,9929) = 98535396

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 9929

List of positive integer factors of 9929 that divides 9929 without a remainder.

1, 9929

Least Common Multiple of 9924 and 9929 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 9929, than apply into the LCM equation.

GCF(9924,9929) = 1
LCM(9924,9929) = ( 9924 × 9929) / 1
LCM(9924,9929) = 98535396 / 1
LCM(9924,9929) = 98535396

Properties of LCM 9924 and 9929

(i) The LCM of 9929 and 9924 is associative

LCM of 9924 and 9929 = LCM of 9929 and 9924

Related Least Common Multiples of 9924

Related Least Common Multiples of 9929

Frequently Asked Questions on LCM of 9924 and 9929

1. What is the LCM of 9924 and 9929?

Answer: LCM of 9924 and 9929 is 98535396.

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 9929?

Answer: Factors of 9929 are 1, 9929. There are 2 integers that are factors of 9929. The greatest factor of 9929 is 9929.

4. How to Find the LCM of 9924 and 9929?

Answer:

Least Common Multiple of 9924 and 9929 = 98535396

Step 1: Find the prime factorization of 9924

9924 = 2 x 2 x 3 x 827

Step 2: Find the prime factorization of 9929

9929 = 9929

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

LCM = 98535396 = 2 x 2 x 3 x 827 x 9929

Step 4: Therefore, the least common multiple of 9924 and 9929 is 98535396.