Least Common Multiple of 8991 and 8999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8991 and 8999 the smallest integer that is 80910009 that is divisible by both numbers.

Least Common Multiple (LCM) of 8991 and 8999 is 80910009.

LCM(8991,8999) = 80910009

LCM of 8991 and 8999

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

LCM of:
and

Least Common Multiple of 8991 and 8999

LCM of 8991 and 8999 is 80910009

Least common multiple can be found by multiplying the highest exponent prime factors of 8991 and 8999. First we will calculate the prime factors of 8991 and 8999.

Prime Factorization of 8991


3 8991
3 2997
3 999
3 333
3 111
37 37
1

Prime factors of 8991 are 3,37. Prime factorization of 8991 in exponential form is:

8991 = 35×371

Prime Factorization of 8999


8999 8999
1

Prime factors of 8999 are 8999. Prime factorization of 8999 in exponential form is:

8999 = 89991

Now multiplying the highest exponent prime factors to calculate the LCM of 8991 and 8999.

LCM(8991,8999) = 35×371×89991
LCM(8991,8999) = 80910009

Factors of 8991

List of positive integer factors of 8991 that divides 8991 without a remainder.

1, 3, 9, 27, 37, 81, 111, 243, 333, 999, 2997, 8991

Factors of 8999

List of positive integer factors of 8999 that divides 8999 without a remainder.

1, 8999

Least Common Multiple of 8991 and 8999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8991 and 8999, than apply into the LCM equation.

GCF(8991,8999) = 1
LCM(8991,8999) = ( 8991 × 8999) / 1
LCM(8991,8999) = 80910009 / 1
LCM(8991,8999) = 80910009

Properties of LCM 8991 and 8999

(i) The LCM of 8999 and 8991 is associative

LCM of 8991 and 8999 = LCM of 8999 and 8991

Related Least Common Multiples of 8991

Related Least Common Multiples of 8999

Frequently Asked Questions on LCM of 8991 and 8999

1. What is the LCM of 8991 and 8999?

Answer: LCM of 8991 and 8999 is 80910009.

2. What are the Factors of 8991?

Answer: Factors of 8991 are 1, 3, 9, 27, 37, 81, 111, 243, 333, 999, 2997, 8991. There are 12 integers that are factors of 8991. The greatest factor of 8991 is 8991.

3. What are the Factors of 8999?

Answer: Factors of 8999 are 1, 8999. There are 2 integers that are factors of 8999. The greatest factor of 8999 is 8999.

4. How to Find the LCM of 8991 and 8999?

Answer:

Least Common Multiple of 8991 and 8999 = 80910009

Step 1: Find the prime factorization of 8991

8991 = 3 x 3 x 3 x 3 x 3 x 37

Step 2: Find the prime factorization of 8999

8999 = 8999

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

LCM = 80910009 = 3 x 3 x 3 x 3 x 3 x 37 x 8999

Step 4: Therefore, the least common multiple of 8991 and 8999 is 80910009.