Least Common Multiple of 5017 and 5022

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 5022 the smallest integer that is 25195374 that is divisible by both numbers.

Least Common Multiple (LCM) of 5017 and 5022 is 25195374.

LCM(5017,5022) = 25195374

LCM of 5017 and 5022

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

LCM of:
and

Least Common Multiple of 5017 and 5022

LCM of 5017 and 5022 is 25195374

Least common multiple can be found by multiplying the highest exponent prime factors of 5017 and 5022. First we will calculate the prime factors of 5017 and 5022.

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 5022


2 5022
3 2511
3 837
3 279
3 93
31 31
1

Prime factors of 5022 are 2, 3,31. Prime factorization of 5022 in exponential form is:

5022 = 21×34×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5017 and 5022.

LCM(5017,5022) = 21×34×291×311×1731
LCM(5017,5022) = 25195374

Factors of 5017

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

1, 29, 173, 5017

Factors of 5022

List of positive integer factors of 5022 that divides 5022 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 279, 558, 837, 1674, 2511, 5022

Least Common Multiple of 5017 and 5022 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 5022, than apply into the LCM equation.

GCF(5017,5022) = 1
LCM(5017,5022) = ( 5017 × 5022) / 1
LCM(5017,5022) = 25195374 / 1
LCM(5017,5022) = 25195374

Properties of LCM 5017 and 5022

(i) The LCM of 5022 and 5017 is associative

LCM of 5017 and 5022 = LCM of 5022 and 5017

Related Least Common Multiples of 5017

Related Least Common Multiples of 5022

Frequently Asked Questions on LCM of 5017 and 5022

1. What is the LCM of 5017 and 5022?

Answer: LCM of 5017 and 5022 is 25195374.

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 5022?

Answer: Factors of 5022 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 279, 558, 837, 1674, 2511, 5022. There are 20 integers that are factors of 5022. The greatest factor of 5022 is 5022.

4. How to Find the LCM of 5017 and 5022?

Answer:

Least Common Multiple of 5017 and 5022 = 25195374

Step 1: Find the prime factorization of 5017

5017 = 29 x 173

Step 2: Find the prime factorization of 5022

5022 = 2 x 3 x 3 x 3 x 3 x 31

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

LCM = 25195374 = 2 x 3 x 3 x 3 x 3 x 29 x 31 x 173

Step 4: Therefore, the least common multiple of 5017 and 5022 is 25195374.