Least Common Multiple of 5015 and 5020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5015 and 5020 the smallest integer that is 5035060 that is divisible by both numbers.

Least Common Multiple (LCM) of 5015 and 5020 is 5035060.

LCM(5015,5020) = 5035060

LCM of 5015 and 5020

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

LCM of:
and

Least Common Multiple of 5015 and 5020

LCM of 5015 and 5020 is 5035060

Least common multiple can be found by multiplying the highest exponent prime factors of 5015 and 5020. First we will calculate the prime factors of 5015 and 5020.

Prime Factorization of 5015


5 5015
17 1003
59 59
1

Prime factors of 5015 are 5, 17,59. Prime factorization of 5015 in exponential form is:

5015 = 51×171×591

Prime Factorization of 5020


2 5020
2 2510
5 1255
251 251
1

Prime factors of 5020 are 2, 5,251. Prime factorization of 5020 in exponential form is:

5020 = 22×51×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 5015 and 5020.

LCM(5015,5020) = 22×51×171×591×2511
LCM(5015,5020) = 5035060

Factors of 5015

List of positive integer factors of 5015 that divides 5015 without a remainder.

1, 5, 17, 59, 85, 295, 1003, 5015

Factors of 5020

List of positive integer factors of 5020 that divides 5020 without a remainder.

1, 2, 4, 5, 10, 20, 251, 502, 1004, 1255, 2510, 5020

Least Common Multiple of 5015 and 5020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5015 and 5020, than apply into the LCM equation.

GCF(5015,5020) = 5
LCM(5015,5020) = ( 5015 × 5020) / 5
LCM(5015,5020) = 25175300 / 5
LCM(5015,5020) = 5035060

Properties of LCM 5015 and 5020

(i) The LCM of 5020 and 5015 is associative

LCM of 5015 and 5020 = LCM of 5020 and 5015

Related Least Common Multiples of 5015

Related Least Common Multiples of 5020

Frequently Asked Questions on LCM of 5015 and 5020

1. What is the LCM of 5015 and 5020?

Answer: LCM of 5015 and 5020 is 5035060.

2. What are the Factors of 5015?

Answer: Factors of 5015 are 1, 5, 17, 59, 85, 295, 1003, 5015. There are 8 integers that are factors of 5015. The greatest factor of 5015 is 5015.

3. What are the Factors of 5020?

Answer: Factors of 5020 are 1, 2, 4, 5, 10, 20, 251, 502, 1004, 1255, 2510, 5020. There are 12 integers that are factors of 5020. The greatest factor of 5020 is 5020.

4. How to Find the LCM of 5015 and 5020?

Answer:

Least Common Multiple of 5015 and 5020 = 5035060

Step 1: Find the prime factorization of 5015

5015 = 5 x 17 x 59

Step 2: Find the prime factorization of 5020

5020 = 2 x 2 x 5 x 251

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

LCM = 5035060 = 2 x 2 x 5 x 17 x 59 x 251

Step 4: Therefore, the least common multiple of 5015 and 5020 is 5035060.