Least Common Multiple of 3005 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 3005 and 3009 the smallest integer that is 9042045 that is divisible by both numbers.

Least Common Multiple (LCM) of 3005 and 3009 is 9042045.

LCM(3005,3009) = 9042045

LCM of 3005 and 3009

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

LCM of:
and

Least Common Multiple of 3005 and 3009

LCM of 3005 and 3009 is 9042045

Least common multiple can be found by multiplying the highest exponent prime factors of 3005 and 3009. First we will calculate the prime factors of 3005 and 3009.

Prime Factorization of 3005


5 3005
601 601
1

Prime factors of 3005 are 5,601. Prime factorization of 3005 in exponential form is:

3005 = 51×6011

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 3005 and 3009.

LCM(3005,3009) = 31×51×171×591×6011
LCM(3005,3009) = 9042045

Factors of 3005

List of positive integer factors of 3005 that divides 3005 without a remainder.

1, 5, 601, 3005

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 3005 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 3005 and 3009, than apply into the LCM equation.

GCF(3005,3009) = 1
LCM(3005,3009) = ( 3005 × 3009) / 1
LCM(3005,3009) = 9042045 / 1
LCM(3005,3009) = 9042045

Properties of LCM 3005 and 3009

(i) The LCM of 3009 and 3005 is associative

LCM of 3005 and 3009 = LCM of 3009 and 3005

Related Least Common Multiples of 3005

Related Least Common Multiples of 3009

Frequently Asked Questions on LCM of 3005 and 3009

1. What is the LCM of 3005 and 3009?

Answer: LCM of 3005 and 3009 is 9042045.

2. What are the Factors of 3005?

Answer: Factors of 3005 are 1, 5, 601, 3005. There are 4 integers that are factors of 3005. The greatest factor of 3005 is 3005.

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 3005 and 3009?

Answer:

Least Common Multiple of 3005 and 3009 = 9042045

Step 1: Find the prime factorization of 3005

3005 = 5 x 601

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 = 9042045 = 3 x 5 x 17 x 59 x 601

Step 4: Therefore, the least common multiple of 3005 and 3009 is 9042045.