Least Common Multiple of 9930 and 9936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9930 and 9936 the smallest integer that is 16444080 that is divisible by both numbers.

Least Common Multiple (LCM) of 9930 and 9936 is 16444080.

LCM(9930,9936) = 16444080

LCM of 9930 and 9936

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

LCM of:
and

Least Common Multiple of 9930 and 9936

LCM of 9930 and 9936 is 16444080

Least common multiple can be found by multiplying the highest exponent prime factors of 9930 and 9936. First we will calculate the prime factors of 9930 and 9936.

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

Prime Factorization of 9936


2 9936
2 4968
2 2484
2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 9936 are 2, 3,23. Prime factorization of 9936 in exponential form is:

9936 = 24×33×231

Now multiplying the highest exponent prime factors to calculate the LCM of 9930 and 9936.

LCM(9930,9936) = 24×33×51×231×3311
LCM(9930,9936) = 16444080

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

Factors of 9936

List of positive integer factors of 9936 that divides 9936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936

Least Common Multiple of 9930 and 9936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9930 and 9936, than apply into the LCM equation.

GCF(9930,9936) = 6
LCM(9930,9936) = ( 9930 × 9936) / 6
LCM(9930,9936) = 98664480 / 6
LCM(9930,9936) = 16444080

Properties of LCM 9930 and 9936

(i) The LCM of 9936 and 9930 is associative

LCM of 9930 and 9936 = LCM of 9936 and 9930

Related Least Common Multiples of 9930

Related Least Common Multiples of 9936

Frequently Asked Questions on LCM of 9930 and 9936

1. What is the LCM of 9930 and 9936?

Answer: LCM of 9930 and 9936 is 16444080.

2. 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.

3. What are the Factors of 9936?

Answer: Factors of 9936 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936. There are 40 integers that are factors of 9936. The greatest factor of 9936 is 9936.

4. How to Find the LCM of 9930 and 9936?

Answer:

Least Common Multiple of 9930 and 9936 = 16444080

Step 1: Find the prime factorization of 9930

9930 = 2 x 3 x 5 x 331

Step 2: Find the prime factorization of 9936

9936 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 23

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

LCM = 16444080 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 23 x 331

Step 4: Therefore, the least common multiple of 9930 and 9936 is 16444080.