Least Common Multiple of 993 and 999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 993 and 999 the smallest integer that is 330669 that is divisible by both numbers.

Least Common Multiple (LCM) of 993 and 999 is 330669.

LCM(993,999) = 330669

LCM of 993 and 999

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

LCM of:
and

Least Common Multiple of 993 and 999

LCM of 993 and 999 is 330669

Least common multiple can be found by multiplying the highest exponent prime factors of 993 and 999. First we will calculate the prime factors of 993 and 999.

Prime Factorization of 993


3 993
331 331
1

Prime factors of 993 are 3,331. Prime factorization of 993 in exponential form is:

993 = 31×3311

Prime Factorization of 999


3 999
3 333
3 111
37 37
1

Prime factors of 999 are 3,37. Prime factorization of 999 in exponential form is:

999 = 33×371

Now multiplying the highest exponent prime factors to calculate the LCM of 993 and 999.

LCM(993,999) = 33×371×3311
LCM(993,999) = 330669

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Least Common Multiple of 993 and 999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 993 and 999, than apply into the LCM equation.

GCF(993,999) = 3
LCM(993,999) = ( 993 × 999) / 3
LCM(993,999) = 992007 / 3
LCM(993,999) = 330669

Properties of LCM 993 and 999

(i) The LCM of 999 and 993 is associative

LCM of 993 and 999 = LCM of 999 and 993

Related Least Common Multiples of 993

Related Least Common Multiples of 999

Frequently Asked Questions on LCM of 993 and 999

1. What is the LCM of 993 and 999?

Answer: LCM of 993 and 999 is 330669.

2. What are the Factors of 993?

Answer: Factors of 993 are 1, 3, 331, 993. There are 4 integers that are factors of 993. The greatest factor of 993 is 993.

3. What are the Factors of 999?

Answer: Factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999. There are 8 integers that are factors of 999. The greatest factor of 999 is 999.

4. How to Find the LCM of 993 and 999?

Answer:

Least Common Multiple of 993 and 999 = 330669

Step 1: Find the prime factorization of 993

993 = 3 x 331

Step 2: Find the prime factorization of 999

999 = 3 x 3 x 3 x 37

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

LCM = 330669 = 3 x 3 x 3 x 37 x 331

Step 4: Therefore, the least common multiple of 993 and 999 is 330669.