Least Common Multiple of 6017 and 6020

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 6020 the smallest integer that is 36222340 that is divisible by both numbers.

Least Common Multiple (LCM) of 6017 and 6020 is 36222340.

LCM(6017,6020) = 36222340

LCM of 6017 and 6020

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

LCM of:
and

Least Common Multiple of 6017 and 6020

LCM of 6017 and 6020 is 36222340

Least common multiple can be found by multiplying the highest exponent prime factors of 6017 and 6020. First we will calculate the prime factors of 6017 and 6020.

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 6020


2 6020
2 3010
5 1505
7 301
43 43
1

Prime factors of 6020 are 2, 5, 7,43. Prime factorization of 6020 in exponential form is:

6020 = 22×51×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6017 and 6020.

LCM(6017,6020) = 22×51×71×111×431×5471
LCM(6017,6020) = 36222340

Factors of 6017

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

1, 11, 547, 6017

Factors of 6020

List of positive integer factors of 6020 that divides 6020 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020

Least Common Multiple of 6017 and 6020 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 6020, than apply into the LCM equation.

GCF(6017,6020) = 1
LCM(6017,6020) = ( 6017 × 6020) / 1
LCM(6017,6020) = 36222340 / 1
LCM(6017,6020) = 36222340

Properties of LCM 6017 and 6020

(i) The LCM of 6020 and 6017 is associative

LCM of 6017 and 6020 = LCM of 6020 and 6017

Related Least Common Multiples of 6017

Related Least Common Multiples of 6020

Frequently Asked Questions on LCM of 6017 and 6020

1. What is the LCM of 6017 and 6020?

Answer: LCM of 6017 and 6020 is 36222340.

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 6020?

Answer: Factors of 6020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020. There are 24 integers that are factors of 6020. The greatest factor of 6020 is 6020.

4. How to Find the LCM of 6017 and 6020?

Answer:

Least Common Multiple of 6017 and 6020 = 36222340

Step 1: Find the prime factorization of 6017

6017 = 11 x 547

Step 2: Find the prime factorization of 6020

6020 = 2 x 2 x 5 x 7 x 43

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

LCM = 36222340 = 2 x 2 x 5 x 7 x 11 x 43 x 547

Step 4: Therefore, the least common multiple of 6017 and 6020 is 36222340.