Least Common Multiple of 5017 and 5023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5017 and 5023 the smallest integer that is 25200391 that is divisible by both numbers.

Least Common Multiple (LCM) of 5017 and 5023 is 25200391.

LCM(5017,5023) = 25200391

LCM of 5017 and 5023

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

LCM of:
and

Least Common Multiple of 5017 and 5023

LCM of 5017 and 5023 is 25200391

Least common multiple can be found by multiplying the highest exponent prime factors of 5017 and 5023. First we will calculate the prime factors of 5017 and 5023.

Prime Factorization of 5017


29 5017
173 173
1

Prime factors of 5017 are 29,173. Prime factorization of 5017 in exponential form is:

5017 = 291×1731

Prime Factorization of 5023


5023 5023
1

Prime factors of 5023 are 5023. Prime factorization of 5023 in exponential form is:

5023 = 50231

Now multiplying the highest exponent prime factors to calculate the LCM of 5017 and 5023.

LCM(5017,5023) = 291×1731×50231
LCM(5017,5023) = 25200391

Factors of 5017

List of positive integer factors of 5017 that divides 5017 without a remainder.

1, 29, 173, 5017

Factors of 5023

List of positive integer factors of 5023 that divides 5023 without a remainder.

1, 5023

Least Common Multiple of 5017 and 5023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5017 and 5023, than apply into the LCM equation.

GCF(5017,5023) = 1
LCM(5017,5023) = ( 5017 × 5023) / 1
LCM(5017,5023) = 25200391 / 1
LCM(5017,5023) = 25200391

Properties of LCM 5017 and 5023

(i) The LCM of 5023 and 5017 is associative

LCM of 5017 and 5023 = LCM of 5023 and 5017

Related Least Common Multiples of 5017

Related Least Common Multiples of 5023

Frequently Asked Questions on LCM of 5017 and 5023

1. What is the LCM of 5017 and 5023?

Answer: LCM of 5017 and 5023 is 25200391.

2. What are the Factors of 5017?

Answer: Factors of 5017 are 1, 29, 173, 5017. There are 4 integers that are factors of 5017. The greatest factor of 5017 is 5017.

3. What are the Factors of 5023?

Answer: Factors of 5023 are 1, 5023. There are 2 integers that are factors of 5023. The greatest factor of 5023 is 5023.

4. How to Find the LCM of 5017 and 5023?

Answer:

Least Common Multiple of 5017 and 5023 = 25200391

Step 1: Find the prime factorization of 5017

5017 = 29 x 173

Step 2: Find the prime factorization of 5023

5023 = 5023

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

LCM = 25200391 = 29 x 173 x 5023

Step 4: Therefore, the least common multiple of 5017 and 5023 is 25200391.