Least Common Multiple of 999 and 1002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 999 and 1002 the smallest integer that is 333666 that is divisible by both numbers.

Least Common Multiple (LCM) of 999 and 1002 is 333666.

LCM(999,1002) = 333666

LCM of 999 and 1002

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

LCM of:
and

Least Common Multiple of 999 and 1002

LCM of 999 and 1002 is 333666

Least common multiple can be found by multiplying the highest exponent prime factors of 999 and 1002. First we will calculate the prime factors of 999 and 1002.

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

Prime Factorization of 1002


2 1002
3 501
167 167
1

Prime factors of 1002 are 2, 3,167. Prime factorization of 1002 in exponential form is:

1002 = 21×31×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 999 and 1002.

LCM(999,1002) = 21×33×371×1671
LCM(999,1002) = 333666

Factors of 999

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

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

Factors of 1002

List of positive integer factors of 1002 that divides 1002 without a remainder.

1, 2, 3, 6, 167, 334, 501, 1002

Least Common Multiple of 999 and 1002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 999 and 1002, than apply into the LCM equation.

GCF(999,1002) = 3
LCM(999,1002) = ( 999 × 1002) / 3
LCM(999,1002) = 1000998 / 3
LCM(999,1002) = 333666

Properties of LCM 999 and 1002

(i) The LCM of 1002 and 999 is associative

LCM of 999 and 1002 = LCM of 1002 and 999

Related Least Common Multiples of 999

Related Least Common Multiples of 1002

Frequently Asked Questions on LCM of 999 and 1002

1. What is the LCM of 999 and 1002?

Answer: LCM of 999 and 1002 is 333666.

2. 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.

3. What are the Factors of 1002?

Answer: Factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002. There are 8 integers that are factors of 1002. The greatest factor of 1002 is 1002.

4. How to Find the LCM of 999 and 1002?

Answer:

Least Common Multiple of 999 and 1002 = 333666

Step 1: Find the prime factorization of 999

999 = 3 x 3 x 3 x 37

Step 2: Find the prime factorization of 1002

1002 = 2 x 3 x 167

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

LCM = 333666 = 2 x 3 x 3 x 3 x 37 x 167

Step 4: Therefore, the least common multiple of 999 and 1002 is 333666.