Least Common Multiple of 6013 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 6013 and 6020 the smallest integer that is 5171180 that is divisible by both numbers.

Least Common Multiple (LCM) of 6013 and 6020 is 5171180.

LCM(6013,6020) = 5171180

LCM of 6013 and 6020

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

LCM of:
and

Least Common Multiple of 6013 and 6020

LCM of 6013 and 6020 is 5171180

Least common multiple can be found by multiplying the highest exponent prime factors of 6013 and 6020. First we will calculate the prime factors of 6013 and 6020.

Prime Factorization of 6013


7 6013
859 859
1

Prime factors of 6013 are 7,859. Prime factorization of 6013 in exponential form is:

6013 = 71×8591

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 6013 and 6020.

LCM(6013,6020) = 22×51×71×431×8591
LCM(6013,6020) = 5171180

Factors of 6013

List of positive integer factors of 6013 that divides 6013 without a remainder.

1, 7, 859, 6013

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 6013 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 6013 and 6020, than apply into the LCM equation.

GCF(6013,6020) = 7
LCM(6013,6020) = ( 6013 × 6020) / 7
LCM(6013,6020) = 36198260 / 7
LCM(6013,6020) = 5171180

Properties of LCM 6013 and 6020

(i) The LCM of 6020 and 6013 is associative

LCM of 6013 and 6020 = LCM of 6020 and 6013

Related Least Common Multiples of 6013

Related Least Common Multiples of 6020

Frequently Asked Questions on LCM of 6013 and 6020

1. What is the LCM of 6013 and 6020?

Answer: LCM of 6013 and 6020 is 5171180.

2. What are the Factors of 6013?

Answer: Factors of 6013 are 1, 7, 859, 6013. There are 4 integers that are factors of 6013. The greatest factor of 6013 is 6013.

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 6013 and 6020?

Answer:

Least Common Multiple of 6013 and 6020 = 5171180

Step 1: Find the prime factorization of 6013

6013 = 7 x 859

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 = 5171180 = 2 x 2 x 5 x 7 x 43 x 859

Step 4: Therefore, the least common multiple of 6013 and 6020 is 5171180.