Least Common Multiple of 9993 and 9999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9993 and 9999 the smallest integer that is 33306669 that is divisible by both numbers.

Least Common Multiple (LCM) of 9993 and 9999 is 33306669.

LCM(9993,9999) = 33306669

LCM of 9993 and 9999

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

LCM of:
and

Least Common Multiple of 9993 and 9999

LCM of 9993 and 9999 is 33306669

Least common multiple can be found by multiplying the highest exponent prime factors of 9993 and 9999. First we will calculate the prime factors of 9993 and 9999.

Prime Factorization of 9993


3 9993
3331 3331
1

Prime factors of 9993 are 3,3331. Prime factorization of 9993 in exponential form is:

9993 = 31×33311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9993 and 9999.

LCM(9993,9999) = 32×111×1011×33311
LCM(9993,9999) = 33306669

Factors of 9993

List of positive integer factors of 9993 that divides 9993 without a remainder.

1, 3, 3331, 9993

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

Least Common Multiple of 9993 and 9999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9993 and 9999, than apply into the LCM equation.

GCF(9993,9999) = 3
LCM(9993,9999) = ( 9993 × 9999) / 3
LCM(9993,9999) = 99920007 / 3
LCM(9993,9999) = 33306669

Properties of LCM 9993 and 9999

(i) The LCM of 9999 and 9993 is associative

LCM of 9993 and 9999 = LCM of 9999 and 9993

Related Least Common Multiples of 9993

Related Least Common Multiples of 9999

Frequently Asked Questions on LCM of 9993 and 9999

1. What is the LCM of 9993 and 9999?

Answer: LCM of 9993 and 9999 is 33306669.

2. What are the Factors of 9993?

Answer: Factors of 9993 are 1, 3, 3331, 9993. There are 4 integers that are factors of 9993. The greatest factor of 9993 is 9993.

3. 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.

4. How to Find the LCM of 9993 and 9999?

Answer:

Least Common Multiple of 9993 and 9999 = 33306669

Step 1: Find the prime factorization of 9993

9993 = 3 x 3331

Step 2: Find the prime factorization of 9999

9999 = 3 x 3 x 11 x 101

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

LCM = 33306669 = 3 x 3 x 11 x 101 x 3331

Step 4: Therefore, the least common multiple of 9993 and 9999 is 33306669.