Least Common Multiple of 8991 and 8993

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 8993 the smallest integer that is 80856063 that is divisible by both numbers.

Least Common Multiple (LCM) of 8991 and 8993 is 80856063.

LCM(8991,8993) = 80856063

LCM of 8991 and 8993

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

LCM of:
and

Least Common Multiple of 8991 and 8993

LCM of 8991 and 8993 is 80856063

Least common multiple can be found by multiplying the highest exponent prime factors of 8991 and 8993. First we will calculate the prime factors of 8991 and 8993.

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 8993


17 8993
23 529
23 23
1

Prime factors of 8993 are 17,23. Prime factorization of 8993 in exponential form is:

8993 = 171×232

Now multiplying the highest exponent prime factors to calculate the LCM of 8991 and 8993.

LCM(8991,8993) = 35×171×232×371
LCM(8991,8993) = 80856063

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 8993

List of positive integer factors of 8993 that divides 8993 without a remainder.

1, 17, 23, 391, 529, 8993

Least Common Multiple of 8991 and 8993 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 8993, than apply into the LCM equation.

GCF(8991,8993) = 1
LCM(8991,8993) = ( 8991 × 8993) / 1
LCM(8991,8993) = 80856063 / 1
LCM(8991,8993) = 80856063

Properties of LCM 8991 and 8993

(i) The LCM of 8993 and 8991 is associative

LCM of 8991 and 8993 = LCM of 8993 and 8991

Related Least Common Multiples of 8991

Related Least Common Multiples of 8993

Frequently Asked Questions on LCM of 8991 and 8993

1. What is the LCM of 8991 and 8993?

Answer: LCM of 8991 and 8993 is 80856063.

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 8993?

Answer: Factors of 8993 are 1, 17, 23, 391, 529, 8993. There are 6 integers that are factors of 8993. The greatest factor of 8993 is 8993.

4. How to Find the LCM of 8991 and 8993?

Answer:

Least Common Multiple of 8991 and 8993 = 80856063

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 8993

8993 = 17 x 23 x 23

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

LCM = 80856063 = 3 x 3 x 3 x 3 x 3 x 17 x 23 x 23 x 37

Step 4: Therefore, the least common multiple of 8991 and 8993 is 80856063.