Least Common Multiple of 5020 and 5025

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 5025 the smallest integer that is 5045100 that is divisible by both numbers.

Least Common Multiple (LCM) of 5020 and 5025 is 5045100.

LCM(5020,5025) = 5045100

LCM of 5020 and 5025

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

LCM of:
and

Least Common Multiple of 5020 and 5025

LCM of 5020 and 5025 is 5045100

Least common multiple can be found by multiplying the highest exponent prime factors of 5020 and 5025. First we will calculate the prime factors of 5020 and 5025.

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 5025


3 5025
5 1675
5 335
67 67
1

Prime factors of 5025 are 3, 5,67. Prime factorization of 5025 in exponential form is:

5025 = 31×52×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5020 and 5025.

LCM(5020,5025) = 22×31×52×671×2511
LCM(5020,5025) = 5045100

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 5025

List of positive integer factors of 5025 that divides 5025 without a remainder.

1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025

Least Common Multiple of 5020 and 5025 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 5025, than apply into the LCM equation.

GCF(5020,5025) = 5
LCM(5020,5025) = ( 5020 × 5025) / 5
LCM(5020,5025) = 25225500 / 5
LCM(5020,5025) = 5045100

Properties of LCM 5020 and 5025

(i) The LCM of 5025 and 5020 is associative

LCM of 5020 and 5025 = LCM of 5025 and 5020

Related Least Common Multiples of 5020

Related Least Common Multiples of 5025

Frequently Asked Questions on LCM of 5020 and 5025

1. What is the LCM of 5020 and 5025?

Answer: LCM of 5020 and 5025 is 5045100.

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 5025?

Answer: Factors of 5025 are 1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025. There are 12 integers that are factors of 5025. The greatest factor of 5025 is 5025.

4. How to Find the LCM of 5020 and 5025?

Answer:

Least Common Multiple of 5020 and 5025 = 5045100

Step 1: Find the prime factorization of 5020

5020 = 2 x 2 x 5 x 251

Step 2: Find the prime factorization of 5025

5025 = 3 x 5 x 5 x 67

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

LCM = 5045100 = 2 x 2 x 3 x 5 x 5 x 67 x 251

Step 4: Therefore, the least common multiple of 5020 and 5025 is 5045100.