Least Common Multiple of 6011 and 6019

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 6019 the smallest integer that is 36180209 that is divisible by both numbers.

Least Common Multiple (LCM) of 6011 and 6019 is 36180209.

LCM(6011,6019) = 36180209

LCM of 6011 and 6019

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

LCM of:
and

Least Common Multiple of 6011 and 6019

LCM of 6011 and 6019 is 36180209

Least common multiple can be found by multiplying the highest exponent prime factors of 6011 and 6019. First we will calculate the prime factors of 6011 and 6019.

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 6019


13 6019
463 463
1

Prime factors of 6019 are 13,463. Prime factorization of 6019 in exponential form is:

6019 = 131×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 6011 and 6019.

LCM(6011,6019) = 131×4631×60111
LCM(6011,6019) = 36180209

Factors of 6011

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

1, 6011

Factors of 6019

List of positive integer factors of 6019 that divides 6019 without a remainder.

1, 13, 463, 6019

Least Common Multiple of 6011 and 6019 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 6019, than apply into the LCM equation.

GCF(6011,6019) = 1
LCM(6011,6019) = ( 6011 × 6019) / 1
LCM(6011,6019) = 36180209 / 1
LCM(6011,6019) = 36180209

Properties of LCM 6011 and 6019

(i) The LCM of 6019 and 6011 is associative

LCM of 6011 and 6019 = LCM of 6019 and 6011

Related Least Common Multiples of 6011

Related Least Common Multiples of 6019

Frequently Asked Questions on LCM of 6011 and 6019

1. What is the LCM of 6011 and 6019?

Answer: LCM of 6011 and 6019 is 36180209.

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 6019?

Answer: Factors of 6019 are 1, 13, 463, 6019. There are 4 integers that are factors of 6019. The greatest factor of 6019 is 6019.

4. How to Find the LCM of 6011 and 6019?

Answer:

Least Common Multiple of 6011 and 6019 = 36180209

Step 1: Find the prime factorization of 6011

6011 = 6011

Step 2: Find the prime factorization of 6019

6019 = 13 x 463

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

LCM = 36180209 = 13 x 463 x 6011

Step 4: Therefore, the least common multiple of 6011 and 6019 is 36180209.