Least Common Multiple of 3009 and 3017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3009 and 3017 the smallest integer that is 9078153 that is divisible by both numbers.

Least Common Multiple (LCM) of 3009 and 3017 is 9078153.

LCM(3009,3017) = 9078153

LCM of 3009 and 3017

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

LCM of:
and

Least Common Multiple of 3009 and 3017

LCM of 3009 and 3017 is 9078153

Least common multiple can be found by multiplying the highest exponent prime factors of 3009 and 3017. First we will calculate the prime factors of 3009 and 3017.

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

Prime Factorization of 3017


7 3017
431 431
1

Prime factors of 3017 are 7,431. Prime factorization of 3017 in exponential form is:

3017 = 71×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 3009 and 3017.

LCM(3009,3017) = 31×71×171×591×4311
LCM(3009,3017) = 9078153

Factors of 3009

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

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

Factors of 3017

List of positive integer factors of 3017 that divides 3017 without a remainder.

1, 7, 431, 3017

Least Common Multiple of 3009 and 3017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3009 and 3017, than apply into the LCM equation.

GCF(3009,3017) = 1
LCM(3009,3017) = ( 3009 × 3017) / 1
LCM(3009,3017) = 9078153 / 1
LCM(3009,3017) = 9078153

Properties of LCM 3009 and 3017

(i) The LCM of 3017 and 3009 is associative

LCM of 3009 and 3017 = LCM of 3017 and 3009

Related Least Common Multiples of 3009

Related Least Common Multiples of 3017

Frequently Asked Questions on LCM of 3009 and 3017

1. What is the LCM of 3009 and 3017?

Answer: LCM of 3009 and 3017 is 9078153.

2. 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.

3. What are the Factors of 3017?

Answer: Factors of 3017 are 1, 7, 431, 3017. There are 4 integers that are factors of 3017. The greatest factor of 3017 is 3017.

4. How to Find the LCM of 3009 and 3017?

Answer:

Least Common Multiple of 3009 and 3017 = 9078153

Step 1: Find the prime factorization of 3009

3009 = 3 x 17 x 59

Step 2: Find the prime factorization of 3017

3017 = 7 x 431

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

LCM = 9078153 = 3 x 7 x 17 x 59 x 431

Step 4: Therefore, the least common multiple of 3009 and 3017 is 9078153.