Least Common Multiple of 5020 and 5027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5020 and 5027 the smallest integer that is 25235540 that is divisible by both numbers.

Least Common Multiple (LCM) of 5020 and 5027 is 25235540.

LCM(5020,5027) = 25235540

LCM of 5020 and 5027

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

LCM of:
and

Least Common Multiple of 5020 and 5027

LCM of 5020 and 5027 is 25235540

Least common multiple can be found by multiplying the highest exponent prime factors of 5020 and 5027. First we will calculate the prime factors of 5020 and 5027.

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

Prime Factorization of 5027


11 5027
457 457
1

Prime factors of 5027 are 11,457. Prime factorization of 5027 in exponential form is:

5027 = 111×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 5020 and 5027.

LCM(5020,5027) = 22×51×111×2511×4571
LCM(5020,5027) = 25235540

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

Factors of 5027

List of positive integer factors of 5027 that divides 5027 without a remainder.

1, 11, 457, 5027

Least Common Multiple of 5020 and 5027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5020 and 5027, than apply into the LCM equation.

GCF(5020,5027) = 1
LCM(5020,5027) = ( 5020 × 5027) / 1
LCM(5020,5027) = 25235540 / 1
LCM(5020,5027) = 25235540

Properties of LCM 5020 and 5027

(i) The LCM of 5027 and 5020 is associative

LCM of 5020 and 5027 = LCM of 5027 and 5020

Related Least Common Multiples of 5020

Related Least Common Multiples of 5027

Frequently Asked Questions on LCM of 5020 and 5027

1. What is the LCM of 5020 and 5027?

Answer: LCM of 5020 and 5027 is 25235540.

2. 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.

3. What are the Factors of 5027?

Answer: Factors of 5027 are 1, 11, 457, 5027. There are 4 integers that are factors of 5027. The greatest factor of 5027 is 5027.

4. How to Find the LCM of 5020 and 5027?

Answer:

Least Common Multiple of 5020 and 5027 = 25235540

Step 1: Find the prime factorization of 5020

5020 = 2 x 2 x 5 x 251

Step 2: Find the prime factorization of 5027

5027 = 11 x 457

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

LCM = 25235540 = 2 x 2 x 5 x 11 x 251 x 457

Step 4: Therefore, the least common multiple of 5020 and 5027 is 25235540.