Least Common Multiple of 5014 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 5014 and 5020 the smallest integer that is 12585140 that is divisible by both numbers.

Least Common Multiple (LCM) of 5014 and 5020 is 12585140.

LCM(5014,5020) = 12585140

LCM of 5014 and 5020

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

LCM of:
and

Least Common Multiple of 5014 and 5020

LCM of 5014 and 5020 is 12585140

Least common multiple can be found by multiplying the highest exponent prime factors of 5014 and 5020. First we will calculate the prime factors of 5014 and 5020.

Prime Factorization of 5014


2 5014
23 2507
109 109
1

Prime factors of 5014 are 2, 23,109. Prime factorization of 5014 in exponential form is:

5014 = 21×231×1091

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 5014 and 5020.

LCM(5014,5020) = 22×51×231×1091×2511
LCM(5014,5020) = 12585140

Factors of 5014

List of positive integer factors of 5014 that divides 5014 without a remainder.

1, 2, 23, 46, 109, 218, 2507, 5014

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 5014 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 5014 and 5020, than apply into the LCM equation.

GCF(5014,5020) = 2
LCM(5014,5020) = ( 5014 × 5020) / 2
LCM(5014,5020) = 25170280 / 2
LCM(5014,5020) = 12585140

Properties of LCM 5014 and 5020

(i) The LCM of 5020 and 5014 is associative

LCM of 5014 and 5020 = LCM of 5020 and 5014

Related Least Common Multiples of 5014

Related Least Common Multiples of 5020

Frequently Asked Questions on LCM of 5014 and 5020

1. What is the LCM of 5014 and 5020?

Answer: LCM of 5014 and 5020 is 12585140.

2. What are the Factors of 5014?

Answer: Factors of 5014 are 1, 2, 23, 46, 109, 218, 2507, 5014. There are 8 integers that are factors of 5014. The greatest factor of 5014 is 5014.

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 5014 and 5020?

Answer:

Least Common Multiple of 5014 and 5020 = 12585140

Step 1: Find the prime factorization of 5014

5014 = 2 x 23 x 109

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 = 12585140 = 2 x 2 x 5 x 23 x 109 x 251

Step 4: Therefore, the least common multiple of 5014 and 5020 is 12585140.