Least Common Multiple of 8997 and 9005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8997 and 9005 the smallest integer that is 81017985 that is divisible by both numbers.

Least Common Multiple (LCM) of 8997 and 9005 is 81017985.

LCM(8997,9005) = 81017985

LCM of 8997 and 9005

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

LCM of:
and

Least Common Multiple of 8997 and 9005

LCM of 8997 and 9005 is 81017985

Least common multiple can be found by multiplying the highest exponent prime factors of 8997 and 9005. First we will calculate the prime factors of 8997 and 9005.

Prime Factorization of 8997


3 8997
2999 2999
1

Prime factors of 8997 are 3,2999. Prime factorization of 8997 in exponential form is:

8997 = 31×29991

Prime Factorization of 9005


5 9005
1801 1801
1

Prime factors of 9005 are 5,1801. Prime factorization of 9005 in exponential form is:

9005 = 51×18011

Now multiplying the highest exponent prime factors to calculate the LCM of 8997 and 9005.

LCM(8997,9005) = 31×51×18011×29991
LCM(8997,9005) = 81017985

Factors of 8997

List of positive integer factors of 8997 that divides 8997 without a remainder.

1, 3, 2999, 8997

Factors of 9005

List of positive integer factors of 9005 that divides 9005 without a remainder.

1, 5, 1801, 9005

Least Common Multiple of 8997 and 9005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8997 and 9005, than apply into the LCM equation.

GCF(8997,9005) = 1
LCM(8997,9005) = ( 8997 × 9005) / 1
LCM(8997,9005) = 81017985 / 1
LCM(8997,9005) = 81017985

Properties of LCM 8997 and 9005

(i) The LCM of 9005 and 8997 is associative

LCM of 8997 and 9005 = LCM of 9005 and 8997

Related Least Common Multiples of 8997

Related Least Common Multiples of 9005

Frequently Asked Questions on LCM of 8997 and 9005

1. What is the LCM of 8997 and 9005?

Answer: LCM of 8997 and 9005 is 81017985.

2. What are the Factors of 8997?

Answer: Factors of 8997 are 1, 3, 2999, 8997. There are 4 integers that are factors of 8997. The greatest factor of 8997 is 8997.

3. What are the Factors of 9005?

Answer: Factors of 9005 are 1, 5, 1801, 9005. There are 4 integers that are factors of 9005. The greatest factor of 9005 is 9005.

4. How to Find the LCM of 8997 and 9005?

Answer:

Least Common Multiple of 8997 and 9005 = 81017985

Step 1: Find the prime factorization of 8997

8997 = 3 x 2999

Step 2: Find the prime factorization of 9005

9005 = 5 x 1801

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

LCM = 81017985 = 3 x 5 x 1801 x 2999

Step 4: Therefore, the least common multiple of 8997 and 9005 is 81017985.