Least Common Multiple of 5010 and 5017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5010 and 5017 the smallest integer that is 25135170 that is divisible by both numbers.

Least Common Multiple (LCM) of 5010 and 5017 is 25135170.

LCM(5010,5017) = 25135170

LCM of 5010 and 5017

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

LCM of:
and

Least Common Multiple of 5010 and 5017

LCM of 5010 and 5017 is 25135170

Least common multiple can be found by multiplying the highest exponent prime factors of 5010 and 5017. First we will calculate the prime factors of 5010 and 5017.

Prime Factorization of 5010


2 5010
3 2505
5 835
167 167
1

Prime factors of 5010 are 2, 3, 5,167. Prime factorization of 5010 in exponential form is:

5010 = 21×31×51×1671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5010 and 5017.

LCM(5010,5017) = 21×31×51×291×1671×1731
LCM(5010,5017) = 25135170

Factors of 5010

List of positive integer factors of 5010 that divides 5010 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010

Factors of 5017

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

1, 29, 173, 5017

Least Common Multiple of 5010 and 5017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5010 and 5017, than apply into the LCM equation.

GCF(5010,5017) = 1
LCM(5010,5017) = ( 5010 × 5017) / 1
LCM(5010,5017) = 25135170 / 1
LCM(5010,5017) = 25135170

Properties of LCM 5010 and 5017

(i) The LCM of 5017 and 5010 is associative

LCM of 5010 and 5017 = LCM of 5017 and 5010

Related Least Common Multiples of 5010

Related Least Common Multiples of 5017

Frequently Asked Questions on LCM of 5010 and 5017

1. What is the LCM of 5010 and 5017?

Answer: LCM of 5010 and 5017 is 25135170.

2. What are the Factors of 5010?

Answer: Factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010. There are 16 integers that are factors of 5010. The greatest factor of 5010 is 5010.

3. 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.

4. How to Find the LCM of 5010 and 5017?

Answer:

Least Common Multiple of 5010 and 5017 = 25135170

Step 1: Find the prime factorization of 5010

5010 = 2 x 3 x 5 x 167

Step 2: Find the prime factorization of 5017

5017 = 29 x 173

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

LCM = 25135170 = 2 x 3 x 5 x 29 x 167 x 173

Step 4: Therefore, the least common multiple of 5010 and 5017 is 25135170.