Least Common Multiple of 991 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 991 and 999 the smallest integer that is 990009 that is divisible by both numbers.

Least Common Multiple (LCM) of 991 and 999 is 990009.

LCM(991,999) = 990009

LCM of 991 and 999

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

LCM of:
and

Least Common Multiple of 991 and 999

LCM of 991 and 999 is 990009

Least common multiple can be found by multiplying the highest exponent prime factors of 991 and 999. First we will calculate the prime factors of 991 and 999.

Prime Factorization of 991


991 991
1

Prime factors of 991 are 991. Prime factorization of 991 in exponential form is:

991 = 9911

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 991 and 999.

LCM(991,999) = 33×371×9911
LCM(991,999) = 990009

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1, 991

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 991 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 991 and 999, than apply into the LCM equation.

GCF(991,999) = 1
LCM(991,999) = ( 991 × 999) / 1
LCM(991,999) = 990009 / 1
LCM(991,999) = 990009

Properties of LCM 991 and 999

(i) The LCM of 999 and 991 is associative

LCM of 991 and 999 = LCM of 999 and 991

Related Least Common Multiples of 991

Related Least Common Multiples of 999

Frequently Asked Questions on LCM of 991 and 999

1. What is the LCM of 991 and 999?

Answer: LCM of 991 and 999 is 990009.

2. What are the Factors of 991?

Answer: Factors of 991 are 1, 991. There are 2 integers that are factors of 991. The greatest factor of 991 is 991.

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 991 and 999?

Answer:

Least Common Multiple of 991 and 999 = 990009

Step 1: Find the prime factorization of 991

991 = 991

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 = 990009 = 3 x 3 x 3 x 37 x 991

Step 4: Therefore, the least common multiple of 991 and 999 is 990009.