Least Common Multiple of 9995 and 9998

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 9998 the smallest integer that is 99930010 that is divisible by both numbers.

Least Common Multiple (LCM) of 9995 and 9998 is 99930010.

LCM(9995,9998) = 99930010

LCM of 9995 and 9998

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

LCM of:
and

Least Common Multiple of 9995 and 9998

LCM of 9995 and 9998 is 99930010

Least common multiple can be found by multiplying the highest exponent prime factors of 9995 and 9998. First we will calculate the prime factors of 9995 and 9998.

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 9998


2 9998
4999 4999
1

Prime factors of 9998 are 2,4999. Prime factorization of 9998 in exponential form is:

9998 = 21×49991

Now multiplying the highest exponent prime factors to calculate the LCM of 9995 and 9998.

LCM(9995,9998) = 21×51×19991×49991
LCM(9995,9998) = 99930010

Factors of 9995

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

1, 5, 1999, 9995

Factors of 9998

List of positive integer factors of 9998 that divides 9998 without a remainder.

1, 2, 4999, 9998

Least Common Multiple of 9995 and 9998 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 9998, than apply into the LCM equation.

GCF(9995,9998) = 1
LCM(9995,9998) = ( 9995 × 9998) / 1
LCM(9995,9998) = 99930010 / 1
LCM(9995,9998) = 99930010

Properties of LCM 9995 and 9998

(i) The LCM of 9998 and 9995 is associative

LCM of 9995 and 9998 = LCM of 9998 and 9995

Related Least Common Multiples of 9995

Related Least Common Multiples of 9998

Frequently Asked Questions on LCM of 9995 and 9998

1. What is the LCM of 9995 and 9998?

Answer: LCM of 9995 and 9998 is 99930010.

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 9998?

Answer: Factors of 9998 are 1, 2, 4999, 9998. There are 4 integers that are factors of 9998. The greatest factor of 9998 is 9998.

4. How to Find the LCM of 9995 and 9998?

Answer:

Least Common Multiple of 9995 and 9998 = 99930010

Step 1: Find the prime factorization of 9995

9995 = 5 x 1999

Step 2: Find the prime factorization of 9998

9998 = 2 x 4999

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

LCM = 99930010 = 2 x 5 x 1999 x 4999

Step 4: Therefore, the least common multiple of 9995 and 9998 is 99930010.