Least Common Multiple of 3004 and 3009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3004 and 3009 the smallest integer that is 9039036 that is divisible by both numbers.

Least Common Multiple (LCM) of 3004 and 3009 is 9039036.

LCM(3004,3009) = 9039036

LCM of 3004 and 3009

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

LCM of:
and

Least Common Multiple of 3004 and 3009

LCM of 3004 and 3009 is 9039036

Least common multiple can be found by multiplying the highest exponent prime factors of 3004 and 3009. First we will calculate the prime factors of 3004 and 3009.

Prime Factorization of 3004


2 3004
2 1502
751 751
1

Prime factors of 3004 are 2,751. Prime factorization of 3004 in exponential form is:

3004 = 22×7511

Prime Factorization of 3009


3 3009
17 1003
59 59
1

Prime factors of 3009 are 3, 17,59. Prime factorization of 3009 in exponential form is:

3009 = 31×171×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3004 and 3009.

LCM(3004,3009) = 22×31×171×591×7511
LCM(3004,3009) = 9039036

Factors of 3004

List of positive integer factors of 3004 that divides 3004 without a remainder.

1, 2, 4, 751, 1502, 3004

Factors of 3009

List of positive integer factors of 3009 that divides 3009 without a remainder.

1, 3, 17, 51, 59, 177, 1003, 3009

Least Common Multiple of 3004 and 3009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3004 and 3009, than apply into the LCM equation.

GCF(3004,3009) = 1
LCM(3004,3009) = ( 3004 × 3009) / 1
LCM(3004,3009) = 9039036 / 1
LCM(3004,3009) = 9039036

Properties of LCM 3004 and 3009

(i) The LCM of 3009 and 3004 is associative

LCM of 3004 and 3009 = LCM of 3009 and 3004

Related Least Common Multiples of 3004

Related Least Common Multiples of 3009

Frequently Asked Questions on LCM of 3004 and 3009

1. What is the LCM of 3004 and 3009?

Answer: LCM of 3004 and 3009 is 9039036.

2. What are the Factors of 3004?

Answer: Factors of 3004 are 1, 2, 4, 751, 1502, 3004. There are 6 integers that are factors of 3004. The greatest factor of 3004 is 3004.

3. What are the Factors of 3009?

Answer: Factors of 3009 are 1, 3, 17, 51, 59, 177, 1003, 3009. There are 8 integers that are factors of 3009. The greatest factor of 3009 is 3009.

4. How to Find the LCM of 3004 and 3009?

Answer:

Least Common Multiple of 3004 and 3009 = 9039036

Step 1: Find the prime factorization of 3004

3004 = 2 x 2 x 751

Step 2: Find the prime factorization of 3009

3009 = 3 x 17 x 59

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

LCM = 9039036 = 2 x 2 x 3 x 17 x 59 x 751

Step 4: Therefore, the least common multiple of 3004 and 3009 is 9039036.