Least Common Multiple of 9998 and 10004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9998 and 10004 the smallest integer that is 50009996 that is divisible by both numbers.

Least Common Multiple (LCM) of 9998 and 10004 is 50009996.

LCM(9998,10004) = 50009996

LCM of 9998 and 10004

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

LCM of:
and

Least Common Multiple of 9998 and 10004

LCM of 9998 and 10004 is 50009996

Least common multiple can be found by multiplying the highest exponent prime factors of 9998 and 10004. First we will calculate the prime factors of 9998 and 10004.

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

Prime Factorization of 10004


2 10004
2 5002
41 2501
61 61
1

Prime factors of 10004 are 2, 41,61. Prime factorization of 10004 in exponential form is:

10004 = 22×411×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9998 and 10004.

LCM(9998,10004) = 22×411×611×49991
LCM(9998,10004) = 50009996

Factors of 9998

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

1, 2, 4999, 9998

Factors of 10004

List of positive integer factors of 10004 that divides 10004 without a remainder.

1, 2, 4, 41, 61, 82, 122, 164, 244, 2501, 5002, 10004

Least Common Multiple of 9998 and 10004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9998 and 10004, than apply into the LCM equation.

GCF(9998,10004) = 2
LCM(9998,10004) = ( 9998 × 10004) / 2
LCM(9998,10004) = 100019992 / 2
LCM(9998,10004) = 50009996

Properties of LCM 9998 and 10004

(i) The LCM of 10004 and 9998 is associative

LCM of 9998 and 10004 = LCM of 10004 and 9998

Related Least Common Multiples of 9998

Related Least Common Multiples of 10004

Frequently Asked Questions on LCM of 9998 and 10004

1. What is the LCM of 9998 and 10004?

Answer: LCM of 9998 and 10004 is 50009996.

2. 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.

3. What are the Factors of 10004?

Answer: Factors of 10004 are 1, 2, 4, 41, 61, 82, 122, 164, 244, 2501, 5002, 10004. There are 12 integers that are factors of 10004. The greatest factor of 10004 is 10004.

4. How to Find the LCM of 9998 and 10004?

Answer:

Least Common Multiple of 9998 and 10004 = 50009996

Step 1: Find the prime factorization of 9998

9998 = 2 x 4999

Step 2: Find the prime factorization of 10004

10004 = 2 x 2 x 41 x 61

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

LCM = 50009996 = 2 x 2 x 41 x 61 x 4999

Step 4: Therefore, the least common multiple of 9998 and 10004 is 50009996.