Least Common Multiple of 996 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 996 and 999 the smallest integer that is 331668 that is divisible by both numbers.

Least Common Multiple (LCM) of 996 and 999 is 331668.

LCM(996,999) = 331668

LCM of 996 and 999

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

LCM of:
and

Least Common Multiple of 996 and 999

LCM of 996 and 999 is 331668

Least common multiple can be found by multiplying the highest exponent prime factors of 996 and 999. First we will calculate the prime factors of 996 and 999.

Prime Factorization of 996


2 996
2 498
3 249
83 83
1

Prime factors of 996 are 2, 3,83. Prime factorization of 996 in exponential form is:

996 = 22×31×831

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 996 and 999.

LCM(996,999) = 22×33×371×831
LCM(996,999) = 331668

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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 996 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 996 and 999, than apply into the LCM equation.

GCF(996,999) = 3
LCM(996,999) = ( 996 × 999) / 3
LCM(996,999) = 995004 / 3
LCM(996,999) = 331668

Properties of LCM 996 and 999

(i) The LCM of 999 and 996 is associative

LCM of 996 and 999 = LCM of 999 and 996

Related Least Common Multiples of 996

Related Least Common Multiples of 999

Frequently Asked Questions on LCM of 996 and 999

1. What is the LCM of 996 and 999?

Answer: LCM of 996 and 999 is 331668.

2. What are the Factors of 996?

Answer: Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996. There are 12 integers that are factors of 996. The greatest factor of 996 is 996.

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 996 and 999?

Answer:

Least Common Multiple of 996 and 999 = 331668

Step 1: Find the prime factorization of 996

996 = 2 x 2 x 3 x 83

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 = 331668 = 2 x 2 x 3 x 3 x 3 x 37 x 83

Step 4: Therefore, the least common multiple of 996 and 999 is 331668.