Least Common Multiple of 8997 and 9004

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 9004 the smallest integer that is 81008988 that is divisible by both numbers.

Least Common Multiple (LCM) of 8997 and 9004 is 81008988.

LCM(8997,9004) = 81008988

LCM of 8997 and 9004

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

LCM of:
and

Least Common Multiple of 8997 and 9004

LCM of 8997 and 9004 is 81008988

Least common multiple can be found by multiplying the highest exponent prime factors of 8997 and 9004. First we will calculate the prime factors of 8997 and 9004.

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 9004


2 9004
2 4502
2251 2251
1

Prime factors of 9004 are 2,2251. Prime factorization of 9004 in exponential form is:

9004 = 22×22511

Now multiplying the highest exponent prime factors to calculate the LCM of 8997 and 9004.

LCM(8997,9004) = 22×31×22511×29991
LCM(8997,9004) = 81008988

Factors of 8997

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

1, 3, 2999, 8997

Factors of 9004

List of positive integer factors of 9004 that divides 9004 without a remainder.

1, 2, 4, 2251, 4502, 9004

Least Common Multiple of 8997 and 9004 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 9004, than apply into the LCM equation.

GCF(8997,9004) = 1
LCM(8997,9004) = ( 8997 × 9004) / 1
LCM(8997,9004) = 81008988 / 1
LCM(8997,9004) = 81008988

Properties of LCM 8997 and 9004

(i) The LCM of 9004 and 8997 is associative

LCM of 8997 and 9004 = LCM of 9004 and 8997

Related Least Common Multiples of 8997

Related Least Common Multiples of 9004

Frequently Asked Questions on LCM of 8997 and 9004

1. What is the LCM of 8997 and 9004?

Answer: LCM of 8997 and 9004 is 81008988.

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 9004?

Answer: Factors of 9004 are 1, 2, 4, 2251, 4502, 9004. There are 6 integers that are factors of 9004. The greatest factor of 9004 is 9004.

4. How to Find the LCM of 8997 and 9004?

Answer:

Least Common Multiple of 8997 and 9004 = 81008988

Step 1: Find the prime factorization of 8997

8997 = 3 x 2999

Step 2: Find the prime factorization of 9004

9004 = 2 x 2 x 2251

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

LCM = 81008988 = 2 x 2 x 3 x 2251 x 2999

Step 4: Therefore, the least common multiple of 8997 and 9004 is 81008988.