Least Common Multiple of 6017 and 6022

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 6022 the smallest integer that is 36234374 that is divisible by both numbers.

Least Common Multiple (LCM) of 6017 and 6022 is 36234374.

LCM(6017,6022) = 36234374

LCM of 6017 and 6022

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

LCM of:
and

Least Common Multiple of 6017 and 6022

LCM of 6017 and 6022 is 36234374

Least common multiple can be found by multiplying the highest exponent prime factors of 6017 and 6022. First we will calculate the prime factors of 6017 and 6022.

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 6022


2 6022
3011 3011
1

Prime factors of 6022 are 2,3011. Prime factorization of 6022 in exponential form is:

6022 = 21×30111

Now multiplying the highest exponent prime factors to calculate the LCM of 6017 and 6022.

LCM(6017,6022) = 21×111×5471×30111
LCM(6017,6022) = 36234374

Factors of 6017

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

1, 11, 547, 6017

Factors of 6022

List of positive integer factors of 6022 that divides 6022 without a remainder.

1, 2, 3011, 6022

Least Common Multiple of 6017 and 6022 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 6022, than apply into the LCM equation.

GCF(6017,6022) = 1
LCM(6017,6022) = ( 6017 × 6022) / 1
LCM(6017,6022) = 36234374 / 1
LCM(6017,6022) = 36234374

Properties of LCM 6017 and 6022

(i) The LCM of 6022 and 6017 is associative

LCM of 6017 and 6022 = LCM of 6022 and 6017

Related Least Common Multiples of 6017

Related Least Common Multiples of 6022

Frequently Asked Questions on LCM of 6017 and 6022

1. What is the LCM of 6017 and 6022?

Answer: LCM of 6017 and 6022 is 36234374.

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 6022?

Answer: Factors of 6022 are 1, 2, 3011, 6022. There are 4 integers that are factors of 6022. The greatest factor of 6022 is 6022.

4. How to Find the LCM of 6017 and 6022?

Answer:

Least Common Multiple of 6017 and 6022 = 36234374

Step 1: Find the prime factorization of 6017

6017 = 11 x 547

Step 2: Find the prime factorization of 6022

6022 = 2 x 3011

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

LCM = 36234374 = 2 x 11 x 547 x 3011

Step 4: Therefore, the least common multiple of 6017 and 6022 is 36234374.