Least Common Multiple of 6017 and 6021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6017 and 6021 the smallest integer that is 36228357 that is divisible by both numbers.

Least Common Multiple (LCM) of 6017 and 6021 is 36228357.

LCM(6017,6021) = 36228357

LCM of 6017 and 6021

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

LCM of:
and

Least Common Multiple of 6017 and 6021

LCM of 6017 and 6021 is 36228357

Least common multiple can be found by multiplying the highest exponent prime factors of 6017 and 6021. First we will calculate the prime factors of 6017 and 6021.

Prime Factorization of 6017


11 6017
547 547
1

Prime factors of 6017 are 11,547. Prime factorization of 6017 in exponential form is:

6017 = 111×5471

Prime Factorization of 6021


3 6021
3 2007
3 669
223 223
1

Prime factors of 6021 are 3,223. Prime factorization of 6021 in exponential form is:

6021 = 33×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 6017 and 6021.

LCM(6017,6021) = 33×111×2231×5471
LCM(6017,6021) = 36228357

Factors of 6017

List of positive integer factors of 6017 that divides 6017 without a remainder.

1, 11, 547, 6017

Factors of 6021

List of positive integer factors of 6021 that divides 6021 without a remainder.

1, 3, 9, 27, 223, 669, 2007, 6021

Least Common Multiple of 6017 and 6021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6017 and 6021, than apply into the LCM equation.

GCF(6017,6021) = 1
LCM(6017,6021) = ( 6017 × 6021) / 1
LCM(6017,6021) = 36228357 / 1
LCM(6017,6021) = 36228357

Properties of LCM 6017 and 6021

(i) The LCM of 6021 and 6017 is associative

LCM of 6017 and 6021 = LCM of 6021 and 6017

Related Least Common Multiples of 6017

Related Least Common Multiples of 6021

Frequently Asked Questions on LCM of 6017 and 6021

1. What is the LCM of 6017 and 6021?

Answer: LCM of 6017 and 6021 is 36228357.

2. What are the Factors of 6017?

Answer: Factors of 6017 are 1, 11, 547, 6017. There are 4 integers that are factors of 6017. The greatest factor of 6017 is 6017.

3. What are the Factors of 6021?

Answer: Factors of 6021 are 1, 3, 9, 27, 223, 669, 2007, 6021. There are 8 integers that are factors of 6021. The greatest factor of 6021 is 6021.

4. How to Find the LCM of 6017 and 6021?

Answer:

Least Common Multiple of 6017 and 6021 = 36228357

Step 1: Find the prime factorization of 6017

6017 = 11 x 547

Step 2: Find the prime factorization of 6021

6021 = 3 x 3 x 3 x 223

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

LCM = 36228357 = 3 x 3 x 3 x 11 x 223 x 547

Step 4: Therefore, the least common multiple of 6017 and 6021 is 36228357.