Least Common Multiple of 3005 and 3011

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 3011 the smallest integer that is 9048055 that is divisible by both numbers.

Least Common Multiple (LCM) of 3005 and 3011 is 9048055.

LCM(3005,3011) = 9048055

LCM of 3005 and 3011

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

LCM of:
and

Least Common Multiple of 3005 and 3011

LCM of 3005 and 3011 is 9048055

Least common multiple can be found by multiplying the highest exponent prime factors of 3005 and 3011. First we will calculate the prime factors of 3005 and 3011.

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 3011


3011 3011
1

Prime factors of 3011 are 3011. Prime factorization of 3011 in exponential form is:

3011 = 30111

Now multiplying the highest exponent prime factors to calculate the LCM of 3005 and 3011.

LCM(3005,3011) = 51×6011×30111
LCM(3005,3011) = 9048055

Factors of 3005

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

1, 5, 601, 3005

Factors of 3011

List of positive integer factors of 3011 that divides 3011 without a remainder.

1, 3011

Least Common Multiple of 3005 and 3011 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 3011, than apply into the LCM equation.

GCF(3005,3011) = 1
LCM(3005,3011) = ( 3005 × 3011) / 1
LCM(3005,3011) = 9048055 / 1
LCM(3005,3011) = 9048055

Properties of LCM 3005 and 3011

(i) The LCM of 3011 and 3005 is associative

LCM of 3005 and 3011 = LCM of 3011 and 3005

Related Least Common Multiples of 3005

Related Least Common Multiples of 3011

Frequently Asked Questions on LCM of 3005 and 3011

1. What is the LCM of 3005 and 3011?

Answer: LCM of 3005 and 3011 is 9048055.

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 3011?

Answer: Factors of 3011 are 1, 3011. There are 2 integers that are factors of 3011. The greatest factor of 3011 is 3011.

4. How to Find the LCM of 3005 and 3011?

Answer:

Least Common Multiple of 3005 and 3011 = 9048055

Step 1: Find the prime factorization of 3005

3005 = 5 x 601

Step 2: Find the prime factorization of 3011

3011 = 3011

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

LCM = 9048055 = 5 x 601 x 3011

Step 4: Therefore, the least common multiple of 3005 and 3011 is 9048055.