Least Common Multiple of 9990 and 9995

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 9995 the smallest integer that is 19970010 that is divisible by both numbers.

Least Common Multiple (LCM) of 9990 and 9995 is 19970010.

LCM(9990,9995) = 19970010

LCM of 9990 and 9995

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

LCM of:
and

Least Common Multiple of 9990 and 9995

LCM of 9990 and 9995 is 19970010

Least common multiple can be found by multiplying the highest exponent prime factors of 9990 and 9995. First we will calculate the prime factors of 9990 and 9995.

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 9995


5 9995
1999 1999
1

Prime factors of 9995 are 5,1999. Prime factorization of 9995 in exponential form is:

9995 = 51×19991

Now multiplying the highest exponent prime factors to calculate the LCM of 9990 and 9995.

LCM(9990,9995) = 21×33×51×371×19991
LCM(9990,9995) = 19970010

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 9995

List of positive integer factors of 9995 that divides 9995 without a remainder.

1, 5, 1999, 9995

Least Common Multiple of 9990 and 9995 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 9995, than apply into the LCM equation.

GCF(9990,9995) = 5
LCM(9990,9995) = ( 9990 × 9995) / 5
LCM(9990,9995) = 99850050 / 5
LCM(9990,9995) = 19970010

Properties of LCM 9990 and 9995

(i) The LCM of 9995 and 9990 is associative

LCM of 9990 and 9995 = LCM of 9995 and 9990

Related Least Common Multiples of 9990

Related Least Common Multiples of 9995

Frequently Asked Questions on LCM of 9990 and 9995

1. What is the LCM of 9990 and 9995?

Answer: LCM of 9990 and 9995 is 19970010.

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 9995?

Answer: Factors of 9995 are 1, 5, 1999, 9995. There are 4 integers that are factors of 9995. The greatest factor of 9995 is 9995.

4. How to Find the LCM of 9990 and 9995?

Answer:

Least Common Multiple of 9990 and 9995 = 19970010

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 9995

9995 = 5 x 1999

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

LCM = 19970010 = 2 x 3 x 3 x 3 x 5 x 37 x 1999

Step 4: Therefore, the least common multiple of 9990 and 9995 is 19970010.