Least Common Multiple of 9924 and 9930

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 9930 the smallest integer that is 16424220 that is divisible by both numbers.

Least Common Multiple (LCM) of 9924 and 9930 is 16424220.

LCM(9924,9930) = 16424220

LCM of 9924 and 9930

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

LCM of:
and

Least Common Multiple of 9924 and 9930

LCM of 9924 and 9930 is 16424220

Least common multiple can be found by multiplying the highest exponent prime factors of 9924 and 9930. First we will calculate the prime factors of 9924 and 9930.

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 9930


2 9930
3 4965
5 1655
331 331
1

Prime factors of 9930 are 2, 3, 5,331. Prime factorization of 9930 in exponential form is:

9930 = 21×31×51×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 9924 and 9930.

LCM(9924,9930) = 22×31×51×3311×8271
LCM(9924,9930) = 16424220

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 9930

List of positive integer factors of 9930 that divides 9930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930

Least Common Multiple of 9924 and 9930 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 9930, than apply into the LCM equation.

GCF(9924,9930) = 6
LCM(9924,9930) = ( 9924 × 9930) / 6
LCM(9924,9930) = 98545320 / 6
LCM(9924,9930) = 16424220

Properties of LCM 9924 and 9930

(i) The LCM of 9930 and 9924 is associative

LCM of 9924 and 9930 = LCM of 9930 and 9924

Related Least Common Multiples of 9924

Related Least Common Multiples of 9930

Frequently Asked Questions on LCM of 9924 and 9930

1. What is the LCM of 9924 and 9930?

Answer: LCM of 9924 and 9930 is 16424220.

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 9930?

Answer: Factors of 9930 are 1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930. There are 16 integers that are factors of 9930. The greatest factor of 9930 is 9930.

4. How to Find the LCM of 9924 and 9930?

Answer:

Least Common Multiple of 9924 and 9930 = 16424220

Step 1: Find the prime factorization of 9924

9924 = 2 x 2 x 3 x 827

Step 2: Find the prime factorization of 9930

9930 = 2 x 3 x 5 x 331

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

LCM = 16424220 = 2 x 2 x 3 x 5 x 331 x 827

Step 4: Therefore, the least common multiple of 9924 and 9930 is 16424220.