Least Common Multiple of 3005 and 3013

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 3013 the smallest integer that is 9054065 that is divisible by both numbers.

Least Common Multiple (LCM) of 3005 and 3013 is 9054065.

LCM(3005,3013) = 9054065

LCM of 3005 and 3013

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

LCM of:
and

Least Common Multiple of 3005 and 3013

LCM of 3005 and 3013 is 9054065

Least common multiple can be found by multiplying the highest exponent prime factors of 3005 and 3013. First we will calculate the prime factors of 3005 and 3013.

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 3013


23 3013
131 131
1

Prime factors of 3013 are 23,131. Prime factorization of 3013 in exponential form is:

3013 = 231×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 3005 and 3013.

LCM(3005,3013) = 51×231×1311×6011
LCM(3005,3013) = 9054065

Factors of 3005

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

1, 5, 601, 3005

Factors of 3013

List of positive integer factors of 3013 that divides 3013 without a remainder.

1, 23, 131, 3013

Least Common Multiple of 3005 and 3013 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 3013, than apply into the LCM equation.

GCF(3005,3013) = 1
LCM(3005,3013) = ( 3005 × 3013) / 1
LCM(3005,3013) = 9054065 / 1
LCM(3005,3013) = 9054065

Properties of LCM 3005 and 3013

(i) The LCM of 3013 and 3005 is associative

LCM of 3005 and 3013 = LCM of 3013 and 3005

Frequently Asked Questions on LCM of 3005 and 3013

1. What is the LCM of 3005 and 3013?

Answer: LCM of 3005 and 3013 is 9054065.

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 3013?

Answer: Factors of 3013 are 1, 23, 131, 3013. There are 4 integers that are factors of 3013. The greatest factor of 3013 is 3013.

4. How to Find the LCM of 3005 and 3013?

Answer:

Least Common Multiple of 3005 and 3013 = 9054065

Step 1: Find the prime factorization of 3005

3005 = 5 x 601

Step 2: Find the prime factorization of 3013

3013 = 23 x 131

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

LCM = 9054065 = 5 x 23 x 131 x 601

Step 4: Therefore, the least common multiple of 3005 and 3013 is 9054065.