Least Common Multiple of 5020 and 5028

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 5028 the smallest integer that is 6310140 that is divisible by both numbers.

Least Common Multiple (LCM) of 5020 and 5028 is 6310140.

LCM(5020,5028) = 6310140

LCM of 5020 and 5028

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

LCM of:
and

Least Common Multiple of 5020 and 5028

LCM of 5020 and 5028 is 6310140

Least common multiple can be found by multiplying the highest exponent prime factors of 5020 and 5028. First we will calculate the prime factors of 5020 and 5028.

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 5028


2 5028
2 2514
3 1257
419 419
1

Prime factors of 5028 are 2, 3,419. Prime factorization of 5028 in exponential form is:

5028 = 22×31×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 5020 and 5028.

LCM(5020,5028) = 22×31×51×2511×4191
LCM(5020,5028) = 6310140

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 5028

List of positive integer factors of 5028 that divides 5028 without a remainder.

1, 2, 3, 4, 6, 12, 419, 838, 1257, 1676, 2514, 5028

Least Common Multiple of 5020 and 5028 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 5028, than apply into the LCM equation.

GCF(5020,5028) = 4
LCM(5020,5028) = ( 5020 × 5028) / 4
LCM(5020,5028) = 25240560 / 4
LCM(5020,5028) = 6310140

Properties of LCM 5020 and 5028

(i) The LCM of 5028 and 5020 is associative

LCM of 5020 and 5028 = LCM of 5028 and 5020

Related Least Common Multiples of 5020

Related Least Common Multiples of 5028

Frequently Asked Questions on LCM of 5020 and 5028

1. What is the LCM of 5020 and 5028?

Answer: LCM of 5020 and 5028 is 6310140.

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 5028?

Answer: Factors of 5028 are 1, 2, 3, 4, 6, 12, 419, 838, 1257, 1676, 2514, 5028. There are 12 integers that are factors of 5028. The greatest factor of 5028 is 5028.

4. How to Find the LCM of 5020 and 5028?

Answer:

Least Common Multiple of 5020 and 5028 = 6310140

Step 1: Find the prime factorization of 5020

5020 = 2 x 2 x 5 x 251

Step 2: Find the prime factorization of 5028

5028 = 2 x 2 x 3 x 419

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

LCM = 6310140 = 2 x 2 x 3 x 5 x 251 x 419

Step 4: Therefore, the least common multiple of 5020 and 5028 is 6310140.