Least Common Multiple of 9999 and 10006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9999 and 10006 the smallest integer that is 100049994 that is divisible by both numbers.

Least Common Multiple (LCM) of 9999 and 10006 is 100049994.

LCM(9999,10006) = 100049994

LCM of 9999 and 10006

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

LCM of:
and

Least Common Multiple of 9999 and 10006

LCM of 9999 and 10006 is 100049994

Least common multiple can be found by multiplying the highest exponent prime factors of 9999 and 10006. First we will calculate the prime factors of 9999 and 10006.

Prime Factorization of 9999


3 9999
3 3333
11 1111
101 101
1

Prime factors of 9999 are 3, 11,101. Prime factorization of 9999 in exponential form is:

9999 = 32×111×1011

Prime Factorization of 10006


2 10006
5003 5003
1

Prime factors of 10006 are 2,5003. Prime factorization of 10006 in exponential form is:

10006 = 21×50031

Now multiplying the highest exponent prime factors to calculate the LCM of 9999 and 10006.

LCM(9999,10006) = 21×32×111×1011×50031
LCM(9999,10006) = 100049994

Factors of 9999

List of positive integer factors of 9999 that divides 9999 without a remainder.

1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999

Factors of 10006

List of positive integer factors of 10006 that divides 10006 without a remainder.

1, 2, 5003, 10006

Least Common Multiple of 9999 and 10006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9999 and 10006, than apply into the LCM equation.

GCF(9999,10006) = 1
LCM(9999,10006) = ( 9999 × 10006) / 1
LCM(9999,10006) = 100049994 / 1
LCM(9999,10006) = 100049994

Properties of LCM 9999 and 10006

(i) The LCM of 10006 and 9999 is associative

LCM of 9999 and 10006 = LCM of 10006 and 9999

Related Least Common Multiples of 9999

Related Least Common Multiples of 10006

Frequently Asked Questions on LCM of 9999 and 10006

1. What is the LCM of 9999 and 10006?

Answer: LCM of 9999 and 10006 is 100049994.

2. What are the Factors of 9999?

Answer: Factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999. There are 12 integers that are factors of 9999. The greatest factor of 9999 is 9999.

3. What are the Factors of 10006?

Answer: Factors of 10006 are 1, 2, 5003, 10006. There are 4 integers that are factors of 10006. The greatest factor of 10006 is 10006.

4. How to Find the LCM of 9999 and 10006?

Answer:

Least Common Multiple of 9999 and 10006 = 100049994

Step 1: Find the prime factorization of 9999

9999 = 3 x 3 x 11 x 101

Step 2: Find the prime factorization of 10006

10006 = 2 x 5003

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

LCM = 100049994 = 2 x 3 x 3 x 11 x 101 x 5003

Step 4: Therefore, the least common multiple of 9999 and 10006 is 100049994.