Least Common Multiple of 9924 and 9931

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 9931 the smallest integer that is 98555244 that is divisible by both numbers.

Least Common Multiple (LCM) of 9924 and 9931 is 98555244.

LCM(9924,9931) = 98555244

LCM of 9924 and 9931

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

LCM of:
and

Least Common Multiple of 9924 and 9931

LCM of 9924 and 9931 is 98555244

Least common multiple can be found by multiplying the highest exponent prime factors of 9924 and 9931. First we will calculate the prime factors of 9924 and 9931.

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 9931


9931 9931
1

Prime factors of 9931 are 9931. Prime factorization of 9931 in exponential form is:

9931 = 99311

Now multiplying the highest exponent prime factors to calculate the LCM of 9924 and 9931.

LCM(9924,9931) = 22×31×8271×99311
LCM(9924,9931) = 98555244

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 9931

List of positive integer factors of 9931 that divides 9931 without a remainder.

1, 9931

Least Common Multiple of 9924 and 9931 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 9931, than apply into the LCM equation.

GCF(9924,9931) = 1
LCM(9924,9931) = ( 9924 × 9931) / 1
LCM(9924,9931) = 98555244 / 1
LCM(9924,9931) = 98555244

Properties of LCM 9924 and 9931

(i) The LCM of 9931 and 9924 is associative

LCM of 9924 and 9931 = LCM of 9931 and 9924

Related Least Common Multiples of 9924

Related Least Common Multiples of 9931

Frequently Asked Questions on LCM of 9924 and 9931

1. What is the LCM of 9924 and 9931?

Answer: LCM of 9924 and 9931 is 98555244.

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 9931?

Answer: Factors of 9931 are 1, 9931. There are 2 integers that are factors of 9931. The greatest factor of 9931 is 9931.

4. How to Find the LCM of 9924 and 9931?

Answer:

Least Common Multiple of 9924 and 9931 = 98555244

Step 1: Find the prime factorization of 9924

9924 = 2 x 2 x 3 x 827

Step 2: Find the prime factorization of 9931

9931 = 9931

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

LCM = 98555244 = 2 x 2 x 3 x 827 x 9931

Step 4: Therefore, the least common multiple of 9924 and 9931 is 98555244.