Least Common Multiple of 999 and 1001

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 1001 the smallest integer that is 999999 that is divisible by both numbers.

Least Common Multiple (LCM) of 999 and 1001 is 999999.

LCM(999,1001) = 999999

LCM of 999 and 1001

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

LCM of:
and

Least Common Multiple of 999 and 1001

LCM of 999 and 1001 is 999999

Least common multiple can be found by multiplying the highest exponent prime factors of 999 and 1001. First we will calculate the prime factors of 999 and 1001.

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 1001


7 1001
11 143
13 13
1

Prime factors of 1001 are 7, 11,13. Prime factorization of 1001 in exponential form is:

1001 = 71×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 999 and 1001.

LCM(999,1001) = 33×71×111×131×371
LCM(999,1001) = 999999

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 1001

List of positive integer factors of 1001 that divides 1001 without a remainder.

1, 7, 11, 13, 77, 91, 143, 1001

Least Common Multiple of 999 and 1001 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 1001, than apply into the LCM equation.

GCF(999,1001) = 1
LCM(999,1001) = ( 999 × 1001) / 1
LCM(999,1001) = 999999 / 1
LCM(999,1001) = 999999

Properties of LCM 999 and 1001

(i) The LCM of 1001 and 999 is associative

LCM of 999 and 1001 = LCM of 1001 and 999

Related Least Common Multiples of 999

Related Least Common Multiples of 1001

Frequently Asked Questions on LCM of 999 and 1001

1. What is the LCM of 999 and 1001?

Answer: LCM of 999 and 1001 is 999999.

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 1001?

Answer: Factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001. There are 8 integers that are factors of 1001. The greatest factor of 1001 is 1001.

4. How to Find the LCM of 999 and 1001?

Answer:

Least Common Multiple of 999 and 1001 = 999999

Step 1: Find the prime factorization of 999

999 = 3 x 3 x 3 x 37

Step 2: Find the prime factorization of 1001

1001 = 7 x 11 x 13

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

LCM = 999999 = 3 x 3 x 3 x 7 x 11 x 13 x 37

Step 4: Therefore, the least common multiple of 999 and 1001 is 999999.