Least Common Multiple of 994 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 994 and 999 the smallest integer that is 993006 that is divisible by both numbers.

Least Common Multiple (LCM) of 994 and 999 is 993006.

LCM(994,999) = 993006

LCM of 994 and 999

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

LCM of:
and

Least Common Multiple of 994 and 999

LCM of 994 and 999 is 993006

Least common multiple can be found by multiplying the highest exponent prime factors of 994 and 999. First we will calculate the prime factors of 994 and 999.

Prime Factorization of 994


2 994
7 497
71 71
1

Prime factors of 994 are 2, 7,71. Prime factorization of 994 in exponential form is:

994 = 21×71×711

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 994 and 999.

LCM(994,999) = 21×33×71×371×711
LCM(994,999) = 993006

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

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 994 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 994 and 999, than apply into the LCM equation.

GCF(994,999) = 1
LCM(994,999) = ( 994 × 999) / 1
LCM(994,999) = 993006 / 1
LCM(994,999) = 993006

Properties of LCM 994 and 999

(i) The LCM of 999 and 994 is associative

LCM of 994 and 999 = LCM of 999 and 994

Related Least Common Multiples of 994

Related Least Common Multiples of 999

Frequently Asked Questions on LCM of 994 and 999

1. What is the LCM of 994 and 999?

Answer: LCM of 994 and 999 is 993006.

2. What are the Factors of 994?

Answer: Factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994. There are 8 integers that are factors of 994. The greatest factor of 994 is 994.

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 994 and 999?

Answer:

Least Common Multiple of 994 and 999 = 993006

Step 1: Find the prime factorization of 994

994 = 2 x 7 x 71

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 = 993006 = 2 x 3 x 3 x 3 x 7 x 37 x 71

Step 4: Therefore, the least common multiple of 994 and 999 is 993006.