Least Common Multiple of 9999 and 10002

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 10002 the smallest integer that is 33336666 that is divisible by both numbers.

Least Common Multiple (LCM) of 9999 and 10002 is 33336666.

LCM(9999,10002) = 33336666

LCM of 9999 and 10002

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

LCM of:
and

Least Common Multiple of 9999 and 10002

LCM of 9999 and 10002 is 33336666

Least common multiple can be found by multiplying the highest exponent prime factors of 9999 and 10002. First we will calculate the prime factors of 9999 and 10002.

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 10002


2 10002
3 5001
1667 1667
1

Prime factors of 10002 are 2, 3,1667. Prime factorization of 10002 in exponential form is:

10002 = 21×31×16671

Now multiplying the highest exponent prime factors to calculate the LCM of 9999 and 10002.

LCM(9999,10002) = 21×32×111×1011×16671
LCM(9999,10002) = 33336666

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 10002

List of positive integer factors of 10002 that divides 10002 without a remainder.

1, 2, 3, 6, 1667, 3334, 5001, 10002

Least Common Multiple of 9999 and 10002 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 10002, than apply into the LCM equation.

GCF(9999,10002) = 3
LCM(9999,10002) = ( 9999 × 10002) / 3
LCM(9999,10002) = 100009998 / 3
LCM(9999,10002) = 33336666

Properties of LCM 9999 and 10002

(i) The LCM of 10002 and 9999 is associative

LCM of 9999 and 10002 = LCM of 10002 and 9999

Related Least Common Multiples of 9999

Related Least Common Multiples of 10002

Frequently Asked Questions on LCM of 9999 and 10002

1. What is the LCM of 9999 and 10002?

Answer: LCM of 9999 and 10002 is 33336666.

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 10002?

Answer: Factors of 10002 are 1, 2, 3, 6, 1667, 3334, 5001, 10002. There are 8 integers that are factors of 10002. The greatest factor of 10002 is 10002.

4. How to Find the LCM of 9999 and 10002?

Answer:

Least Common Multiple of 9999 and 10002 = 33336666

Step 1: Find the prime factorization of 9999

9999 = 3 x 3 x 11 x 101

Step 2: Find the prime factorization of 10002

10002 = 2 x 3 x 1667

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

LCM = 33336666 = 2 x 3 x 3 x 11 x 101 x 1667

Step 4: Therefore, the least common multiple of 9999 and 10002 is 33336666.