Least Common Multiple of 9990 and 9994

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 9994 the smallest integer that is 49920030 that is divisible by both numbers.

Least Common Multiple (LCM) of 9990 and 9994 is 49920030.

LCM(9990,9994) = 49920030

LCM of 9990 and 9994

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

LCM of:
and

Least Common Multiple of 9990 and 9994

LCM of 9990 and 9994 is 49920030

Least common multiple can be found by multiplying the highest exponent prime factors of 9990 and 9994. First we will calculate the prime factors of 9990 and 9994.

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 9994


2 9994
19 4997
263 263
1

Prime factors of 9994 are 2, 19,263. Prime factorization of 9994 in exponential form is:

9994 = 21×191×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 9990 and 9994.

LCM(9990,9994) = 21×33×51×191×371×2631
LCM(9990,9994) = 49920030

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 9994

List of positive integer factors of 9994 that divides 9994 without a remainder.

1, 2, 19, 38, 263, 526, 4997, 9994

Least Common Multiple of 9990 and 9994 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 9994, than apply into the LCM equation.

GCF(9990,9994) = 2
LCM(9990,9994) = ( 9990 × 9994) / 2
LCM(9990,9994) = 99840060 / 2
LCM(9990,9994) = 49920030

Properties of LCM 9990 and 9994

(i) The LCM of 9994 and 9990 is associative

LCM of 9990 and 9994 = LCM of 9994 and 9990

Related Least Common Multiples of 9990

Related Least Common Multiples of 9994

Frequently Asked Questions on LCM of 9990 and 9994

1. What is the LCM of 9990 and 9994?

Answer: LCM of 9990 and 9994 is 49920030.

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 9994?

Answer: Factors of 9994 are 1, 2, 19, 38, 263, 526, 4997, 9994. There are 8 integers that are factors of 9994. The greatest factor of 9994 is 9994.

4. How to Find the LCM of 9990 and 9994?

Answer:

Least Common Multiple of 9990 and 9994 = 49920030

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 9994

9994 = 2 x 19 x 263

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

LCM = 49920030 = 2 x 3 x 3 x 3 x 5 x 19 x 37 x 263

Step 4: Therefore, the least common multiple of 9990 and 9994 is 49920030.