Least Common Multiple of 8017 and 8020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8017 and 8020 the smallest integer that is 64296340 that is divisible by both numbers.

Least Common Multiple (LCM) of 8017 and 8020 is 64296340.

LCM(8017,8020) = 64296340

LCM of 8017 and 8020

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

LCM of:
and

Least Common Multiple of 8017 and 8020

LCM of 8017 and 8020 is 64296340

Least common multiple can be found by multiplying the highest exponent prime factors of 8017 and 8020. First we will calculate the prime factors of 8017 and 8020.

Prime Factorization of 8017


8017 8017
1

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

8017 = 80171

Prime Factorization of 8020


2 8020
2 4010
5 2005
401 401
1

Prime factors of 8020 are 2, 5,401. Prime factorization of 8020 in exponential form is:

8020 = 22×51×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 8017 and 8020.

LCM(8017,8020) = 22×51×4011×80171
LCM(8017,8020) = 64296340

Factors of 8017

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

1, 8017

Factors of 8020

List of positive integer factors of 8020 that divides 8020 without a remainder.

1, 2, 4, 5, 10, 20, 401, 802, 1604, 2005, 4010, 8020

Least Common Multiple of 8017 and 8020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8017 and 8020, than apply into the LCM equation.

GCF(8017,8020) = 1
LCM(8017,8020) = ( 8017 × 8020) / 1
LCM(8017,8020) = 64296340 / 1
LCM(8017,8020) = 64296340

Properties of LCM 8017 and 8020

(i) The LCM of 8020 and 8017 is associative

LCM of 8017 and 8020 = LCM of 8020 and 8017

Related Least Common Multiples of 8017

Related Least Common Multiples of 8020

Frequently Asked Questions on LCM of 8017 and 8020

1. What is the LCM of 8017 and 8020?

Answer: LCM of 8017 and 8020 is 64296340.

2. 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.

3. What are the Factors of 8020?

Answer: Factors of 8020 are 1, 2, 4, 5, 10, 20, 401, 802, 1604, 2005, 4010, 8020. There are 12 integers that are factors of 8020. The greatest factor of 8020 is 8020.

4. How to Find the LCM of 8017 and 8020?

Answer:

Least Common Multiple of 8017 and 8020 = 64296340

Step 1: Find the prime factorization of 8017

8017 = 8017

Step 2: Find the prime factorization of 8020

8020 = 2 x 2 x 5 x 401

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

LCM = 64296340 = 2 x 2 x 5 x 401 x 8017

Step 4: Therefore, the least common multiple of 8017 and 8020 is 64296340.