Least Common Multiple of 3001 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 3001 and 3009 the smallest integer that is 9030009 that is divisible by both numbers.

Least Common Multiple (LCM) of 3001 and 3009 is 9030009.

LCM(3001,3009) = 9030009

LCM of 3001 and 3009

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

LCM of:
and

Least Common Multiple of 3001 and 3009

LCM of 3001 and 3009 is 9030009

Least common multiple can be found by multiplying the highest exponent prime factors of 3001 and 3009. First we will calculate the prime factors of 3001 and 3009.

Prime Factorization of 3001


3001 3001
1

Prime factors of 3001 are 3001. Prime factorization of 3001 in exponential form is:

3001 = 30011

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 3001 and 3009.

LCM(3001,3009) = 31×171×591×30011
LCM(3001,3009) = 9030009

Factors of 3001

List of positive integer factors of 3001 that divides 3001 without a remainder.

1, 3001

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 3001 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 3001 and 3009, than apply into the LCM equation.

GCF(3001,3009) = 1
LCM(3001,3009) = ( 3001 × 3009) / 1
LCM(3001,3009) = 9030009 / 1
LCM(3001,3009) = 9030009

Properties of LCM 3001 and 3009

(i) The LCM of 3009 and 3001 is associative

LCM of 3001 and 3009 = LCM of 3009 and 3001

Related Least Common Multiples of 3001

Related Least Common Multiples of 3009

Frequently Asked Questions on LCM of 3001 and 3009

1. What is the LCM of 3001 and 3009?

Answer: LCM of 3001 and 3009 is 9030009.

2. What are the Factors of 3001?

Answer: Factors of 3001 are 1, 3001. There are 2 integers that are factors of 3001. The greatest factor of 3001 is 3001.

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 3001 and 3009?

Answer:

Least Common Multiple of 3001 and 3009 = 9030009

Step 1: Find the prime factorization of 3001

3001 = 3001

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 = 9030009 = 3 x 17 x 59 x 3001

Step 4: Therefore, the least common multiple of 3001 and 3009 is 9030009.