Least Common Multiple of 5018 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 5018 and 5024 the smallest integer that is 12605216 that is divisible by both numbers.

Least Common Multiple (LCM) of 5018 and 5024 is 12605216.

LCM(5018,5024) = 12605216

LCM of 5018 and 5024

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

LCM of:
and

Least Common Multiple of 5018 and 5024

LCM of 5018 and 5024 is 12605216

Least common multiple can be found by multiplying the highest exponent prime factors of 5018 and 5024. First we will calculate the prime factors of 5018 and 5024.

Prime Factorization of 5018


2 5018
13 2509
193 193
1

Prime factors of 5018 are 2, 13,193. Prime factorization of 5018 in exponential form is:

5018 = 21×131×1931

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 5018 and 5024.

LCM(5018,5024) = 25×131×1571×1931
LCM(5018,5024) = 12605216

Factors of 5018

List of positive integer factors of 5018 that divides 5018 without a remainder.

1, 2, 13, 26, 193, 386, 2509, 5018

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 5018 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 5018 and 5024, than apply into the LCM equation.

GCF(5018,5024) = 2
LCM(5018,5024) = ( 5018 × 5024) / 2
LCM(5018,5024) = 25210432 / 2
LCM(5018,5024) = 12605216

Properties of LCM 5018 and 5024

(i) The LCM of 5024 and 5018 is associative

LCM of 5018 and 5024 = LCM of 5024 and 5018

Related Least Common Multiples of 5018

Related Least Common Multiples of 5024

Frequently Asked Questions on LCM of 5018 and 5024

1. What is the LCM of 5018 and 5024?

Answer: LCM of 5018 and 5024 is 12605216.

2. What are the Factors of 5018?

Answer: Factors of 5018 are 1, 2, 13, 26, 193, 386, 2509, 5018. There are 8 integers that are factors of 5018. The greatest factor of 5018 is 5018.

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 5018 and 5024?

Answer:

Least Common Multiple of 5018 and 5024 = 12605216

Step 1: Find the prime factorization of 5018

5018 = 2 x 13 x 193

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 = 12605216 = 2 x 2 x 2 x 2 x 2 x 13 x 157 x 193

Step 4: Therefore, the least common multiple of 5018 and 5024 is 12605216.