Least Common Multiple of 9995 and 10000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9995 and 10000 the smallest integer that is 19990000 that is divisible by both numbers.

Least Common Multiple (LCM) of 9995 and 10000 is 19990000.

LCM(9995,10000) = 19990000

LCM of 9995 and 10000

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

LCM of:
and

Least Common Multiple of 9995 and 10000

LCM of 9995 and 10000 is 19990000

Least common multiple can be found by multiplying the highest exponent prime factors of 9995 and 10000. First we will calculate the prime factors of 9995 and 10000.

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

Prime Factorization of 10000


2 10000
2 5000
2 2500
2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 10000 are 2,5. Prime factorization of 10000 in exponential form is:

10000 = 24×54

Now multiplying the highest exponent prime factors to calculate the LCM of 9995 and 10000.

LCM(9995,10000) = 24×54×19991
LCM(9995,10000) = 19990000

Factors of 9995

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

1, 5, 1999, 9995

Factors of 10000

List of positive integer factors of 10000 that divides 10000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000

Least Common Multiple of 9995 and 10000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9995 and 10000, than apply into the LCM equation.

GCF(9995,10000) = 5
LCM(9995,10000) = ( 9995 × 10000) / 5
LCM(9995,10000) = 99950000 / 5
LCM(9995,10000) = 19990000

Properties of LCM 9995 and 10000

(i) The LCM of 10000 and 9995 is associative

LCM of 9995 and 10000 = LCM of 10000 and 9995

Related Least Common Multiples of 9995

Related Least Common Multiples of 10000

Frequently Asked Questions on LCM of 9995 and 10000

1. What is the LCM of 9995 and 10000?

Answer: LCM of 9995 and 10000 is 19990000.

2. 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.

3. What are the Factors of 10000?

Answer: Factors of 10000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000. There are 25 integers that are factors of 10000. The greatest factor of 10000 is 10000.

4. How to Find the LCM of 9995 and 10000?

Answer:

Least Common Multiple of 9995 and 10000 = 19990000

Step 1: Find the prime factorization of 9995

9995 = 5 x 1999

Step 2: Find the prime factorization of 10000

10000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5

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

LCM = 19990000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 1999

Step 4: Therefore, the least common multiple of 9995 and 10000 is 19990000.