Least Common Multiple of 6009 and 6017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6009 and 6017 the smallest integer that is 36156153 that is divisible by both numbers.

Least Common Multiple (LCM) of 6009 and 6017 is 36156153.

LCM(6009,6017) = 36156153

LCM of 6009 and 6017

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

LCM of:
and

Least Common Multiple of 6009 and 6017

LCM of 6009 and 6017 is 36156153

Least common multiple can be found by multiplying the highest exponent prime factors of 6009 and 6017. First we will calculate the prime factors of 6009 and 6017.

Prime Factorization of 6009


3 6009
2003 2003
1

Prime factors of 6009 are 3,2003. Prime factorization of 6009 in exponential form is:

6009 = 31×20031

Prime Factorization of 6017


11 6017
547 547
1

Prime factors of 6017 are 11,547. Prime factorization of 6017 in exponential form is:

6017 = 111×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 6009 and 6017.

LCM(6009,6017) = 31×111×5471×20031
LCM(6009,6017) = 36156153

Factors of 6009

List of positive integer factors of 6009 that divides 6009 without a remainder.

1, 3, 2003, 6009

Factors of 6017

List of positive integer factors of 6017 that divides 6017 without a remainder.

1, 11, 547, 6017

Least Common Multiple of 6009 and 6017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6009 and 6017, than apply into the LCM equation.

GCF(6009,6017) = 1
LCM(6009,6017) = ( 6009 × 6017) / 1
LCM(6009,6017) = 36156153 / 1
LCM(6009,6017) = 36156153

Properties of LCM 6009 and 6017

(i) The LCM of 6017 and 6009 is associative

LCM of 6009 and 6017 = LCM of 6017 and 6009

Related Least Common Multiples of 6009

Related Least Common Multiples of 6017

Frequently Asked Questions on LCM of 6009 and 6017

1. What is the LCM of 6009 and 6017?

Answer: LCM of 6009 and 6017 is 36156153.

2. What are the Factors of 6009?

Answer: Factors of 6009 are 1, 3, 2003, 6009. There are 4 integers that are factors of 6009. The greatest factor of 6009 is 6009.

3. What are the Factors of 6017?

Answer: Factors of 6017 are 1, 11, 547, 6017. There are 4 integers that are factors of 6017. The greatest factor of 6017 is 6017.

4. How to Find the LCM of 6009 and 6017?

Answer:

Least Common Multiple of 6009 and 6017 = 36156153

Step 1: Find the prime factorization of 6009

6009 = 3 x 2003

Step 2: Find the prime factorization of 6017

6017 = 11 x 547

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

LCM = 36156153 = 3 x 11 x 547 x 2003

Step 4: Therefore, the least common multiple of 6009 and 6017 is 36156153.