Least Common Multiple of 6010 and 6017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6010 and 6017 the smallest integer that is 36162170 that is divisible by both numbers.

Least Common Multiple (LCM) of 6010 and 6017 is 36162170.

LCM(6010,6017) = 36162170

LCM of 6010 and 6017

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

LCM of:
and

Least Common Multiple of 6010 and 6017

LCM of 6010 and 6017 is 36162170

Least common multiple can be found by multiplying the highest exponent prime factors of 6010 and 6017. First we will calculate the prime factors of 6010 and 6017.

Prime Factorization of 6010


2 6010
5 3005
601 601
1

Prime factors of 6010 are 2, 5,601. Prime factorization of 6010 in exponential form is:

6010 = 21×51×6011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6010 and 6017.

LCM(6010,6017) = 21×51×111×5471×6011
LCM(6010,6017) = 36162170

Factors of 6010

List of positive integer factors of 6010 that divides 6010 without a remainder.

1, 2, 5, 10, 601, 1202, 3005, 6010

Factors of 6017

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

1, 11, 547, 6017

Least Common Multiple of 6010 and 6017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6010 and 6017, than apply into the LCM equation.

GCF(6010,6017) = 1
LCM(6010,6017) = ( 6010 × 6017) / 1
LCM(6010,6017) = 36162170 / 1
LCM(6010,6017) = 36162170

Properties of LCM 6010 and 6017

(i) The LCM of 6017 and 6010 is associative

LCM of 6010 and 6017 = LCM of 6017 and 6010

Related Least Common Multiples of 6010

Related Least Common Multiples of 6017

Frequently Asked Questions on LCM of 6010 and 6017

1. What is the LCM of 6010 and 6017?

Answer: LCM of 6010 and 6017 is 36162170.

2. What are the Factors of 6010?

Answer: Factors of 6010 are 1, 2, 5, 10, 601, 1202, 3005, 6010. There are 8 integers that are factors of 6010. The greatest factor of 6010 is 6010.

3. 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.

4. How to Find the LCM of 6010 and 6017?

Answer:

Least Common Multiple of 6010 and 6017 = 36162170

Step 1: Find the prime factorization of 6010

6010 = 2 x 5 x 601

Step 2: Find the prime factorization of 6017

6017 = 11 x 547

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

LCM = 36162170 = 2 x 5 x 11 x 547 x 601

Step 4: Therefore, the least common multiple of 6010 and 6017 is 36162170.