Least Common Multiple of 9990 and 9997

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 9997 the smallest integer that is 99870030 that is divisible by both numbers.

Least Common Multiple (LCM) of 9990 and 9997 is 99870030.

LCM(9990,9997) = 99870030

LCM of 9990 and 9997

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

LCM of:
and

Least Common Multiple of 9990 and 9997

LCM of 9990 and 9997 is 99870030

Least common multiple can be found by multiplying the highest exponent prime factors of 9990 and 9997. First we will calculate the prime factors of 9990 and 9997.

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 9997


13 9997
769 769
1

Prime factors of 9997 are 13,769. Prime factorization of 9997 in exponential form is:

9997 = 131×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 9990 and 9997.

LCM(9990,9997) = 21×33×51×131×371×7691
LCM(9990,9997) = 99870030

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 9997

List of positive integer factors of 9997 that divides 9997 without a remainder.

1, 13, 769, 9997

Least Common Multiple of 9990 and 9997 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 9997, than apply into the LCM equation.

GCF(9990,9997) = 1
LCM(9990,9997) = ( 9990 × 9997) / 1
LCM(9990,9997) = 99870030 / 1
LCM(9990,9997) = 99870030

Properties of LCM 9990 and 9997

(i) The LCM of 9997 and 9990 is associative

LCM of 9990 and 9997 = LCM of 9997 and 9990

Related Least Common Multiples of 9990

Related Least Common Multiples of 9997

Frequently Asked Questions on LCM of 9990 and 9997

1. What is the LCM of 9990 and 9997?

Answer: LCM of 9990 and 9997 is 99870030.

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 9997?

Answer: Factors of 9997 are 1, 13, 769, 9997. There are 4 integers that are factors of 9997. The greatest factor of 9997 is 9997.

4. How to Find the LCM of 9990 and 9997?

Answer:

Least Common Multiple of 9990 and 9997 = 99870030

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 9997

9997 = 13 x 769

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

LCM = 99870030 = 2 x 3 x 3 x 3 x 5 x 13 x 37 x 769

Step 4: Therefore, the least common multiple of 9990 and 9997 is 99870030.