Least Common Multiple of 6005 and 6011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6005 and 6011 the smallest integer that is 36096055 that is divisible by both numbers.

Least Common Multiple (LCM) of 6005 and 6011 is 36096055.

LCM(6005,6011) = 36096055

LCM of 6005 and 6011

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

LCM of:
and

Least Common Multiple of 6005 and 6011

LCM of 6005 and 6011 is 36096055

Least common multiple can be found by multiplying the highest exponent prime factors of 6005 and 6011. First we will calculate the prime factors of 6005 and 6011.

Prime Factorization of 6005


5 6005
1201 1201
1

Prime factors of 6005 are 5,1201. Prime factorization of 6005 in exponential form is:

6005 = 51×12011

Prime Factorization of 6011


6011 6011
1

Prime factors of 6011 are 6011. Prime factorization of 6011 in exponential form is:

6011 = 60111

Now multiplying the highest exponent prime factors to calculate the LCM of 6005 and 6011.

LCM(6005,6011) = 51×12011×60111
LCM(6005,6011) = 36096055

Factors of 6005

List of positive integer factors of 6005 that divides 6005 without a remainder.

1, 5, 1201, 6005

Factors of 6011

List of positive integer factors of 6011 that divides 6011 without a remainder.

1, 6011

Least Common Multiple of 6005 and 6011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6005 and 6011, than apply into the LCM equation.

GCF(6005,6011) = 1
LCM(6005,6011) = ( 6005 × 6011) / 1
LCM(6005,6011) = 36096055 / 1
LCM(6005,6011) = 36096055

Properties of LCM 6005 and 6011

(i) The LCM of 6011 and 6005 is associative

LCM of 6005 and 6011 = LCM of 6011 and 6005

Related Least Common Multiples of 6005

Related Least Common Multiples of 6011

Frequently Asked Questions on LCM of 6005 and 6011

1. What is the LCM of 6005 and 6011?

Answer: LCM of 6005 and 6011 is 36096055.

2. What are the Factors of 6005?

Answer: Factors of 6005 are 1, 5, 1201, 6005. There are 4 integers that are factors of 6005. The greatest factor of 6005 is 6005.

3. What are the Factors of 6011?

Answer: Factors of 6011 are 1, 6011. There are 2 integers that are factors of 6011. The greatest factor of 6011 is 6011.

4. How to Find the LCM of 6005 and 6011?

Answer:

Least Common Multiple of 6005 and 6011 = 36096055

Step 1: Find the prime factorization of 6005

6005 = 5 x 1201

Step 2: Find the prime factorization of 6011

6011 = 6011

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

LCM = 36096055 = 5 x 1201 x 6011

Step 4: Therefore, the least common multiple of 6005 and 6011 is 36096055.