Least Common Multiple of 9003 and 9009

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 9009 the smallest integer that is 27036009 that is divisible by both numbers.

Least Common Multiple (LCM) of 9003 and 9009 is 27036009.

LCM(9003,9009) = 27036009

LCM of 9003 and 9009

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

LCM of:
and

Least Common Multiple of 9003 and 9009

LCM of 9003 and 9009 is 27036009

Least common multiple can be found by multiplying the highest exponent prime factors of 9003 and 9009. First we will calculate the prime factors of 9003 and 9009.

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 9009


3 9009
3 3003
7 1001
11 143
13 13
1

Prime factors of 9009 are 3, 7, 11,13. Prime factorization of 9009 in exponential form is:

9009 = 32×71×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 9003 and 9009.

LCM(9003,9009) = 32×71×111×131×30011
LCM(9003,9009) = 27036009

Factors of 9003

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

1, 3, 3001, 9003

Factors of 9009

List of positive integer factors of 9009 that divides 9009 without a remainder.

1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009

Least Common Multiple of 9003 and 9009 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 9009, than apply into the LCM equation.

GCF(9003,9009) = 3
LCM(9003,9009) = ( 9003 × 9009) / 3
LCM(9003,9009) = 81108027 / 3
LCM(9003,9009) = 27036009

Properties of LCM 9003 and 9009

(i) The LCM of 9009 and 9003 is associative

LCM of 9003 and 9009 = LCM of 9009 and 9003

Related Least Common Multiples of 9003

Related Least Common Multiples of 9009

Frequently Asked Questions on LCM of 9003 and 9009

1. What is the LCM of 9003 and 9009?

Answer: LCM of 9003 and 9009 is 27036009.

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 9009?

Answer: Factors of 9009 are 1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009. There are 24 integers that are factors of 9009. The greatest factor of 9009 is 9009.

4. How to Find the LCM of 9003 and 9009?

Answer:

Least Common Multiple of 9003 and 9009 = 27036009

Step 1: Find the prime factorization of 9003

9003 = 3 x 3001

Step 2: Find the prime factorization of 9009

9009 = 3 x 3 x 7 x 11 x 13

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

LCM = 27036009 = 3 x 3 x 7 x 11 x 13 x 3001

Step 4: Therefore, the least common multiple of 9003 and 9009 is 27036009.