Least Common Multiple of 5020 and 5024

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 5024 the smallest integer that is 6305120 that is divisible by both numbers.

Least Common Multiple (LCM) of 5020 and 5024 is 6305120.

LCM(5020,5024) = 6305120

LCM of 5020 and 5024

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

LCM of:
and

Least Common Multiple of 5020 and 5024

LCM of 5020 and 5024 is 6305120

Least common multiple can be found by multiplying the highest exponent prime factors of 5020 and 5024. First we will calculate the prime factors of 5020 and 5024.

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 5024


2 5024
2 2512
2 1256
2 628
2 314
157 157
1

Prime factors of 5024 are 2,157. Prime factorization of 5024 in exponential form is:

5024 = 25×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 5020 and 5024.

LCM(5020,5024) = 25×51×1571×2511
LCM(5020,5024) = 6305120

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 5024

List of positive integer factors of 5024 that divides 5024 without a remainder.

1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024

Least Common Multiple of 5020 and 5024 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 5024, than apply into the LCM equation.

GCF(5020,5024) = 4
LCM(5020,5024) = ( 5020 × 5024) / 4
LCM(5020,5024) = 25220480 / 4
LCM(5020,5024) = 6305120

Properties of LCM 5020 and 5024

(i) The LCM of 5024 and 5020 is associative

LCM of 5020 and 5024 = LCM of 5024 and 5020

Related Least Common Multiples of 5020

Related Least Common Multiples of 5024

Frequently Asked Questions on LCM of 5020 and 5024

1. What is the LCM of 5020 and 5024?

Answer: LCM of 5020 and 5024 is 6305120.

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 5024?

Answer: Factors of 5024 are 1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024. There are 12 integers that are factors of 5024. The greatest factor of 5024 is 5024.

4. How to Find the LCM of 5020 and 5024?

Answer:

Least Common Multiple of 5020 and 5024 = 6305120

Step 1: Find the prime factorization of 5020

5020 = 2 x 2 x 5 x 251

Step 2: Find the prime factorization of 5024

5024 = 2 x 2 x 2 x 2 x 2 x 157

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

LCM = 6305120 = 2 x 2 x 2 x 2 x 2 x 5 x 157 x 251

Step 4: Therefore, the least common multiple of 5020 and 5024 is 6305120.