Least Common Multiple of 8013 and 8017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8013 and 8017 the smallest integer that is 64240221 that is divisible by both numbers.

Least Common Multiple (LCM) of 8013 and 8017 is 64240221.

LCM(8013,8017) = 64240221

LCM of 8013 and 8017

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

LCM of:
and

Least Common Multiple of 8013 and 8017

LCM of 8013 and 8017 is 64240221

Least common multiple can be found by multiplying the highest exponent prime factors of 8013 and 8017. First we will calculate the prime factors of 8013 and 8017.

Prime Factorization of 8013


3 8013
2671 2671
1

Prime factors of 8013 are 3,2671. Prime factorization of 8013 in exponential form is:

8013 = 31×26711

Prime Factorization of 8017


8017 8017
1

Prime factors of 8017 are 8017. Prime factorization of 8017 in exponential form is:

8017 = 80171

Now multiplying the highest exponent prime factors to calculate the LCM of 8013 and 8017.

LCM(8013,8017) = 31×26711×80171
LCM(8013,8017) = 64240221

Factors of 8013

List of positive integer factors of 8013 that divides 8013 without a remainder.

1, 3, 2671, 8013

Factors of 8017

List of positive integer factors of 8017 that divides 8017 without a remainder.

1, 8017

Least Common Multiple of 8013 and 8017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8013 and 8017, than apply into the LCM equation.

GCF(8013,8017) = 1
LCM(8013,8017) = ( 8013 × 8017) / 1
LCM(8013,8017) = 64240221 / 1
LCM(8013,8017) = 64240221

Properties of LCM 8013 and 8017

(i) The LCM of 8017 and 8013 is associative

LCM of 8013 and 8017 = LCM of 8017 and 8013

Related Least Common Multiples of 8013

Related Least Common Multiples of 8017

Frequently Asked Questions on LCM of 8013 and 8017

1. What is the LCM of 8013 and 8017?

Answer: LCM of 8013 and 8017 is 64240221.

2. What are the Factors of 8013?

Answer: Factors of 8013 are 1, 3, 2671, 8013. There are 4 integers that are factors of 8013. The greatest factor of 8013 is 8013.

3. What are the Factors of 8017?

Answer: Factors of 8017 are 1, 8017. There are 2 integers that are factors of 8017. The greatest factor of 8017 is 8017.

4. How to Find the LCM of 8013 and 8017?

Answer:

Least Common Multiple of 8013 and 8017 = 64240221

Step 1: Find the prime factorization of 8013

8013 = 3 x 2671

Step 2: Find the prime factorization of 8017

8017 = 8017

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

LCM = 64240221 = 3 x 2671 x 8017

Step 4: Therefore, the least common multiple of 8013 and 8017 is 64240221.