Least Common Multiple of 6011 and 6015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6011 and 6015 the smallest integer that is 36156165 that is divisible by both numbers.

Least Common Multiple (LCM) of 6011 and 6015 is 36156165.

LCM(6011,6015) = 36156165

LCM of 6011 and 6015

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

LCM of:
and

Least Common Multiple of 6011 and 6015

LCM of 6011 and 6015 is 36156165

Least common multiple can be found by multiplying the highest exponent prime factors of 6011 and 6015. First we will calculate the prime factors of 6011 and 6015.

Prime Factorization of 6011


6011 6011
1

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

6011 = 60111

Prime Factorization of 6015


3 6015
5 2005
401 401
1

Prime factors of 6015 are 3, 5,401. Prime factorization of 6015 in exponential form is:

6015 = 31×51×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 6011 and 6015.

LCM(6011,6015) = 31×51×4011×60111
LCM(6011,6015) = 36156165

Factors of 6011

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

1, 6011

Factors of 6015

List of positive integer factors of 6015 that divides 6015 without a remainder.

1, 3, 5, 15, 401, 1203, 2005, 6015

Least Common Multiple of 6011 and 6015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6011 and 6015, than apply into the LCM equation.

GCF(6011,6015) = 1
LCM(6011,6015) = ( 6011 × 6015) / 1
LCM(6011,6015) = 36156165 / 1
LCM(6011,6015) = 36156165

Properties of LCM 6011 and 6015

(i) The LCM of 6015 and 6011 is associative

LCM of 6011 and 6015 = LCM of 6015 and 6011

Related Least Common Multiples of 6011

Related Least Common Multiples of 6015

Frequently Asked Questions on LCM of 6011 and 6015

1. What is the LCM of 6011 and 6015?

Answer: LCM of 6011 and 6015 is 36156165.

2. 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.

3. What are the Factors of 6015?

Answer: Factors of 6015 are 1, 3, 5, 15, 401, 1203, 2005, 6015. There are 8 integers that are factors of 6015. The greatest factor of 6015 is 6015.

4. How to Find the LCM of 6011 and 6015?

Answer:

Least Common Multiple of 6011 and 6015 = 36156165

Step 1: Find the prime factorization of 6011

6011 = 6011

Step 2: Find the prime factorization of 6015

6015 = 3 x 5 x 401

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

LCM = 36156165 = 3 x 5 x 401 x 6011

Step 4: Therefore, the least common multiple of 6011 and 6015 is 36156165.