Least Common Multiple of 9995 and 9996

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 9996 the smallest integer that is 99910020 that is divisible by both numbers.

Least Common Multiple (LCM) of 9995 and 9996 is 99910020.

LCM(9995,9996) = 99910020

LCM of 9995 and 9996

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

LCM of:
and

Least Common Multiple of 9995 and 9996

LCM of 9995 and 9996 is 99910020

Least common multiple can be found by multiplying the highest exponent prime factors of 9995 and 9996. First we will calculate the prime factors of 9995 and 9996.

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 9996


2 9996
2 4998
3 2499
7 833
7 119
17 17
1

Prime factors of 9996 are 2, 3, 7,17. Prime factorization of 9996 in exponential form is:

9996 = 22×31×72×171

Now multiplying the highest exponent prime factors to calculate the LCM of 9995 and 9996.

LCM(9995,9996) = 22×31×51×72×171×19991
LCM(9995,9996) = 99910020

Factors of 9995

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

1, 5, 1999, 9995

Factors of 9996

List of positive integer factors of 9996 that divides 9996 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996

Least Common Multiple of 9995 and 9996 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 9996, than apply into the LCM equation.

GCF(9995,9996) = 1
LCM(9995,9996) = ( 9995 × 9996) / 1
LCM(9995,9996) = 99910020 / 1
LCM(9995,9996) = 99910020

Properties of LCM 9995 and 9996

(i) The LCM of 9996 and 9995 is associative

LCM of 9995 and 9996 = LCM of 9996 and 9995

Related Least Common Multiples of 9995

Related Least Common Multiples of 9996

Frequently Asked Questions on LCM of 9995 and 9996

1. What is the LCM of 9995 and 9996?

Answer: LCM of 9995 and 9996 is 99910020.

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 9996?

Answer: Factors of 9996 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996. There are 36 integers that are factors of 9996. The greatest factor of 9996 is 9996.

4. How to Find the LCM of 9995 and 9996?

Answer:

Least Common Multiple of 9995 and 9996 = 99910020

Step 1: Find the prime factorization of 9995

9995 = 5 x 1999

Step 2: Find the prime factorization of 9996

9996 = 2 x 2 x 3 x 7 x 7 x 17

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

LCM = 99910020 = 2 x 2 x 3 x 5 x 7 x 7 x 17 x 1999

Step 4: Therefore, the least common multiple of 9995 and 9996 is 99910020.