Least Common Multiple of 5018 and 5022

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 5022 the smallest integer that is 12600198 that is divisible by both numbers.

Least Common Multiple (LCM) of 5018 and 5022 is 12600198.

LCM(5018,5022) = 12600198

LCM of 5018 and 5022

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

LCM of:
and

Least Common Multiple of 5018 and 5022

LCM of 5018 and 5022 is 12600198

Least common multiple can be found by multiplying the highest exponent prime factors of 5018 and 5022. First we will calculate the prime factors of 5018 and 5022.

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 5022


2 5022
3 2511
3 837
3 279
3 93
31 31
1

Prime factors of 5022 are 2, 3,31. Prime factorization of 5022 in exponential form is:

5022 = 21×34×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5018 and 5022.

LCM(5018,5022) = 21×34×131×311×1931
LCM(5018,5022) = 12600198

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 5022

List of positive integer factors of 5022 that divides 5022 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 279, 558, 837, 1674, 2511, 5022

Least Common Multiple of 5018 and 5022 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 5022, than apply into the LCM equation.

GCF(5018,5022) = 2
LCM(5018,5022) = ( 5018 × 5022) / 2
LCM(5018,5022) = 25200396 / 2
LCM(5018,5022) = 12600198

Properties of LCM 5018 and 5022

(i) The LCM of 5022 and 5018 is associative

LCM of 5018 and 5022 = LCM of 5022 and 5018

Related Least Common Multiples of 5018

Related Least Common Multiples of 5022

Frequently Asked Questions on LCM of 5018 and 5022

1. What is the LCM of 5018 and 5022?

Answer: LCM of 5018 and 5022 is 12600198.

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 5022?

Answer: Factors of 5022 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 279, 558, 837, 1674, 2511, 5022. There are 20 integers that are factors of 5022. The greatest factor of 5022 is 5022.

4. How to Find the LCM of 5018 and 5022?

Answer:

Least Common Multiple of 5018 and 5022 = 12600198

Step 1: Find the prime factorization of 5018

5018 = 2 x 13 x 193

Step 2: Find the prime factorization of 5022

5022 = 2 x 3 x 3 x 3 x 3 x 31

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

LCM = 12600198 = 2 x 3 x 3 x 3 x 3 x 13 x 31 x 193

Step 4: Therefore, the least common multiple of 5018 and 5022 is 12600198.