Least Common Multiple of 8993 and 9001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8993 and 9001 the smallest integer that is 80945993 that is divisible by both numbers.

Least Common Multiple (LCM) of 8993 and 9001 is 80945993.

LCM(8993,9001) = 80945993

LCM of 8993 and 9001

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

LCM of:
and

Least Common Multiple of 8993 and 9001

LCM of 8993 and 9001 is 80945993

Least common multiple can be found by multiplying the highest exponent prime factors of 8993 and 9001. First we will calculate the prime factors of 8993 and 9001.

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

Prime Factorization of 9001


9001 9001
1

Prime factors of 9001 are 9001. Prime factorization of 9001 in exponential form is:

9001 = 90011

Now multiplying the highest exponent prime factors to calculate the LCM of 8993 and 9001.

LCM(8993,9001) = 171×232×90011
LCM(8993,9001) = 80945993

Factors of 8993

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

1, 17, 23, 391, 529, 8993

Factors of 9001

List of positive integer factors of 9001 that divides 9001 without a remainder.

1, 9001

Least Common Multiple of 8993 and 9001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8993 and 9001, than apply into the LCM equation.

GCF(8993,9001) = 1
LCM(8993,9001) = ( 8993 × 9001) / 1
LCM(8993,9001) = 80945993 / 1
LCM(8993,9001) = 80945993

Properties of LCM 8993 and 9001

(i) The LCM of 9001 and 8993 is associative

LCM of 8993 and 9001 = LCM of 9001 and 8993

Related Least Common Multiples of 8993

Related Least Common Multiples of 9001

Frequently Asked Questions on LCM of 8993 and 9001

1. What is the LCM of 8993 and 9001?

Answer: LCM of 8993 and 9001 is 80945993.

2. 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.

3. What are the Factors of 9001?

Answer: Factors of 9001 are 1, 9001. There are 2 integers that are factors of 9001. The greatest factor of 9001 is 9001.

4. How to Find the LCM of 8993 and 9001?

Answer:

Least Common Multiple of 8993 and 9001 = 80945993

Step 1: Find the prime factorization of 8993

8993 = 17 x 23 x 23

Step 2: Find the prime factorization of 9001

9001 = 9001

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

LCM = 80945993 = 17 x 23 x 23 x 9001

Step 4: Therefore, the least common multiple of 8993 and 9001 is 80945993.