Least Common Multiple of 8017 and 8023

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 8023 the smallest integer that is 64320391 that is divisible by both numbers.

Least Common Multiple (LCM) of 8017 and 8023 is 64320391.

LCM(8017,8023) = 64320391

LCM of 8017 and 8023

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

LCM of:
and

Least Common Multiple of 8017 and 8023

LCM of 8017 and 8023 is 64320391

Least common multiple can be found by multiplying the highest exponent prime factors of 8017 and 8023. First we will calculate the prime factors of 8017 and 8023.

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 8023


71 8023
113 113
1

Prime factors of 8023 are 71,113. Prime factorization of 8023 in exponential form is:

8023 = 711×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 8017 and 8023.

LCM(8017,8023) = 711×1131×80171
LCM(8017,8023) = 64320391

Factors of 8017

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

1, 8017

Factors of 8023

List of positive integer factors of 8023 that divides 8023 without a remainder.

1, 71, 113, 8023

Least Common Multiple of 8017 and 8023 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 8023, than apply into the LCM equation.

GCF(8017,8023) = 1
LCM(8017,8023) = ( 8017 × 8023) / 1
LCM(8017,8023) = 64320391 / 1
LCM(8017,8023) = 64320391

Properties of LCM 8017 and 8023

(i) The LCM of 8023 and 8017 is associative

LCM of 8017 and 8023 = LCM of 8023 and 8017

Related Least Common Multiples of 8017

Related Least Common Multiples of 8023

Frequently Asked Questions on LCM of 8017 and 8023

1. What is the LCM of 8017 and 8023?

Answer: LCM of 8017 and 8023 is 64320391.

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 8023?

Answer: Factors of 8023 are 1, 71, 113, 8023. There are 4 integers that are factors of 8023. The greatest factor of 8023 is 8023.

4. How to Find the LCM of 8017 and 8023?

Answer:

Least Common Multiple of 8017 and 8023 = 64320391

Step 1: Find the prime factorization of 8017

8017 = 8017

Step 2: Find the prime factorization of 8023

8023 = 71 x 113

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

LCM = 64320391 = 71 x 113 x 8017

Step 4: Therefore, the least common multiple of 8017 and 8023 is 64320391.