Least Common Multiple of 9990 and 9991

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 9991 the smallest integer that is 99810090 that is divisible by both numbers.

Least Common Multiple (LCM) of 9990 and 9991 is 99810090.

LCM(9990,9991) = 99810090

LCM of 9990 and 9991

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

LCM of:
and

Least Common Multiple of 9990 and 9991

LCM of 9990 and 9991 is 99810090

Least common multiple can be found by multiplying the highest exponent prime factors of 9990 and 9991. First we will calculate the prime factors of 9990 and 9991.

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 9991


97 9991
103 103
1

Prime factors of 9991 are 97,103. Prime factorization of 9991 in exponential form is:

9991 = 971×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9990 and 9991.

LCM(9990,9991) = 21×33×51×371×971×1031
LCM(9990,9991) = 99810090

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 9991

List of positive integer factors of 9991 that divides 9991 without a remainder.

1, 97, 103, 9991

Least Common Multiple of 9990 and 9991 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 9991, than apply into the LCM equation.

GCF(9990,9991) = 1
LCM(9990,9991) = ( 9990 × 9991) / 1
LCM(9990,9991) = 99810090 / 1
LCM(9990,9991) = 99810090

Properties of LCM 9990 and 9991

(i) The LCM of 9991 and 9990 is associative

LCM of 9990 and 9991 = LCM of 9991 and 9990

Related Least Common Multiples of 9990

Related Least Common Multiples of 9991

Frequently Asked Questions on LCM of 9990 and 9991

1. What is the LCM of 9990 and 9991?

Answer: LCM of 9990 and 9991 is 99810090.

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 9991?

Answer: Factors of 9991 are 1, 97, 103, 9991. There are 4 integers that are factors of 9991. The greatest factor of 9991 is 9991.

4. How to Find the LCM of 9990 and 9991?

Answer:

Least Common Multiple of 9990 and 9991 = 99810090

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 9991

9991 = 97 x 103

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

LCM = 99810090 = 2 x 3 x 3 x 3 x 5 x 37 x 97 x 103

Step 4: Therefore, the least common multiple of 9990 and 9991 is 99810090.