Least Common Multiple of 9990 and 9996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9990 and 9996 the smallest integer that is 16643340 that is divisible by both numbers.

Least Common Multiple (LCM) of 9990 and 9996 is 16643340.

LCM(9990,9996) = 16643340

LCM of 9990 and 9996

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

LCM of:
and

Least Common Multiple of 9990 and 9996

LCM of 9990 and 9996 is 16643340

Least common multiple can be found by multiplying the highest exponent prime factors of 9990 and 9996. First we will calculate the prime factors of 9990 and 9996.

Prime Factorization of 9990


2 9990
3 4995
3 1665
3 555
5 185
37 37
1

Prime factors of 9990 are 2, 3, 5,37. Prime factorization of 9990 in exponential form is:

9990 = 21×33×51×371

Prime Factorization of 9996


2 9996
2 4998
3 2499
7 833
7 119
17 17
1

Prime factors of 9996 are 2, 3, 7,17. Prime factorization of 9996 in exponential form is:

9996 = 22×31×72×171

Now multiplying the highest exponent prime factors to calculate the LCM of 9990 and 9996.

LCM(9990,9996) = 22×33×51×72×171×371
LCM(9990,9996) = 16643340

Factors of 9990

List of positive integer factors of 9990 that divides 9990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 90, 111, 135, 185, 222, 270, 333, 370, 555, 666, 999, 1110, 1665, 1998, 3330, 4995, 9990

Factors of 9996

List of positive integer factors of 9996 that divides 9996 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996

Least Common Multiple of 9990 and 9996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9990 and 9996, than apply into the LCM equation.

GCF(9990,9996) = 6
LCM(9990,9996) = ( 9990 × 9996) / 6
LCM(9990,9996) = 99860040 / 6
LCM(9990,9996) = 16643340

Properties of LCM 9990 and 9996

(i) The LCM of 9996 and 9990 is associative

LCM of 9990 and 9996 = LCM of 9996 and 9990

Related Least Common Multiples of 9990

Related Least Common Multiples of 9996

Frequently Asked Questions on LCM of 9990 and 9996

1. What is the LCM of 9990 and 9996?

Answer: LCM of 9990 and 9996 is 16643340.

2. What are the Factors of 9990?

Answer: Factors of 9990 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 90, 111, 135, 185, 222, 270, 333, 370, 555, 666, 999, 1110, 1665, 1998, 3330, 4995, 9990. There are 32 integers that are factors of 9990. The greatest factor of 9990 is 9990.

3. What are the Factors of 9996?

Answer: Factors of 9996 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996. There are 36 integers that are factors of 9996. The greatest factor of 9996 is 9996.

4. How to Find the LCM of 9990 and 9996?

Answer:

Least Common Multiple of 9990 and 9996 = 16643340

Step 1: Find the prime factorization of 9990

9990 = 2 x 3 x 3 x 3 x 5 x 37

Step 2: Find the prime factorization of 9996

9996 = 2 x 2 x 3 x 7 x 7 x 17

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

LCM = 16643340 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 17 x 37

Step 4: Therefore, the least common multiple of 9990 and 9996 is 16643340.