Least Common Multiple of 3004 and 3005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3004 and 3005 the smallest integer that is 9027020 that is divisible by both numbers.

Least Common Multiple (LCM) of 3004 and 3005 is 9027020.

LCM(3004,3005) = 9027020

LCM of 3004 and 3005

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

LCM of:
and

Least Common Multiple of 3004 and 3005

LCM of 3004 and 3005 is 9027020

Least common multiple can be found by multiplying the highest exponent prime factors of 3004 and 3005. First we will calculate the prime factors of 3004 and 3005.

Prime Factorization of 3004


2 3004
2 1502
751 751
1

Prime factors of 3004 are 2,751. Prime factorization of 3004 in exponential form is:

3004 = 22×7511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3004 and 3005.

LCM(3004,3005) = 22×51×6011×7511
LCM(3004,3005) = 9027020

Factors of 3004

List of positive integer factors of 3004 that divides 3004 without a remainder.

1, 2, 4, 751, 1502, 3004

Factors of 3005

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

1, 5, 601, 3005

Least Common Multiple of 3004 and 3005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3004 and 3005, than apply into the LCM equation.

GCF(3004,3005) = 1
LCM(3004,3005) = ( 3004 × 3005) / 1
LCM(3004,3005) = 9027020 / 1
LCM(3004,3005) = 9027020

Properties of LCM 3004 and 3005

(i) The LCM of 3005 and 3004 is associative

LCM of 3004 and 3005 = LCM of 3005 and 3004

Related Least Common Multiples of 3004

Related Least Common Multiples of 3005

Frequently Asked Questions on LCM of 3004 and 3005

1. What is the LCM of 3004 and 3005?

Answer: LCM of 3004 and 3005 is 9027020.

2. What are the Factors of 3004?

Answer: Factors of 3004 are 1, 2, 4, 751, 1502, 3004. There are 6 integers that are factors of 3004. The greatest factor of 3004 is 3004.

3. 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.

4. How to Find the LCM of 3004 and 3005?

Answer:

Least Common Multiple of 3004 and 3005 = 9027020

Step 1: Find the prime factorization of 3004

3004 = 2 x 2 x 751

Step 2: Find the prime factorization of 3005

3005 = 5 x 601

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

LCM = 9027020 = 2 x 2 x 5 x 601 x 751

Step 4: Therefore, the least common multiple of 3004 and 3005 is 9027020.