Least Common Multiple of 9003 and 9007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9003 and 9007 the smallest integer that is 81090021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9003 and 9007 is 81090021.

LCM(9003,9007) = 81090021

LCM of 9003 and 9007

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

LCM of:
and

Least Common Multiple of 9003 and 9007

LCM of 9003 and 9007 is 81090021

Least common multiple can be found by multiplying the highest exponent prime factors of 9003 and 9007. First we will calculate the prime factors of 9003 and 9007.

Prime Factorization of 9003


3 9003
3001 3001
1

Prime factors of 9003 are 3,3001. Prime factorization of 9003 in exponential form is:

9003 = 31×30011

Prime Factorization of 9007


9007 9007
1

Prime factors of 9007 are 9007. Prime factorization of 9007 in exponential form is:

9007 = 90071

Now multiplying the highest exponent prime factors to calculate the LCM of 9003 and 9007.

LCM(9003,9007) = 31×30011×90071
LCM(9003,9007) = 81090021

Factors of 9003

List of positive integer factors of 9003 that divides 9003 without a remainder.

1, 3, 3001, 9003

Factors of 9007

List of positive integer factors of 9007 that divides 9007 without a remainder.

1, 9007

Least Common Multiple of 9003 and 9007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9003 and 9007, than apply into the LCM equation.

GCF(9003,9007) = 1
LCM(9003,9007) = ( 9003 × 9007) / 1
LCM(9003,9007) = 81090021 / 1
LCM(9003,9007) = 81090021

Properties of LCM 9003 and 9007

(i) The LCM of 9007 and 9003 is associative

LCM of 9003 and 9007 = LCM of 9007 and 9003

Related Least Common Multiples of 9003

Related Least Common Multiples of 9007

Frequently Asked Questions on LCM of 9003 and 9007

1. What is the LCM of 9003 and 9007?

Answer: LCM of 9003 and 9007 is 81090021.

2. What are the Factors of 9003?

Answer: Factors of 9003 are 1, 3, 3001, 9003. There are 4 integers that are factors of 9003. The greatest factor of 9003 is 9003.

3. What are the Factors of 9007?

Answer: Factors of 9007 are 1, 9007. There are 2 integers that are factors of 9007. The greatest factor of 9007 is 9007.

4. How to Find the LCM of 9003 and 9007?

Answer:

Least Common Multiple of 9003 and 9007 = 81090021

Step 1: Find the prime factorization of 9003

9003 = 3 x 3001

Step 2: Find the prime factorization of 9007

9007 = 9007

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

LCM = 81090021 = 3 x 3001 x 9007

Step 4: Therefore, the least common multiple of 9003 and 9007 is 81090021.