Least Common Multiple of 5022 and 5026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5022 and 5026 the smallest integer that is 12620286 that is divisible by both numbers.

Least Common Multiple (LCM) of 5022 and 5026 is 12620286.

LCM(5022,5026) = 12620286

LCM of 5022 and 5026

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

LCM of:
and

Least Common Multiple of 5022 and 5026

LCM of 5022 and 5026 is 12620286

Least common multiple can be found by multiplying the highest exponent prime factors of 5022 and 5026. First we will calculate the prime factors of 5022 and 5026.

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

Prime Factorization of 5026


2 5026
7 2513
359 359
1

Prime factors of 5026 are 2, 7,359. Prime factorization of 5026 in exponential form is:

5026 = 21×71×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 5022 and 5026.

LCM(5022,5026) = 21×34×71×311×3591
LCM(5022,5026) = 12620286

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

Factors of 5026

List of positive integer factors of 5026 that divides 5026 without a remainder.

1, 2, 7, 14, 359, 718, 2513, 5026

Least Common Multiple of 5022 and 5026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5022 and 5026, than apply into the LCM equation.

GCF(5022,5026) = 2
LCM(5022,5026) = ( 5022 × 5026) / 2
LCM(5022,5026) = 25240572 / 2
LCM(5022,5026) = 12620286

Properties of LCM 5022 and 5026

(i) The LCM of 5026 and 5022 is associative

LCM of 5022 and 5026 = LCM of 5026 and 5022

Related Least Common Multiples of 5022

Related Least Common Multiples of 5026

Frequently Asked Questions on LCM of 5022 and 5026

1. What is the LCM of 5022 and 5026?

Answer: LCM of 5022 and 5026 is 12620286.

2. 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.

3. What are the Factors of 5026?

Answer: Factors of 5026 are 1, 2, 7, 14, 359, 718, 2513, 5026. There are 8 integers that are factors of 5026. The greatest factor of 5026 is 5026.

4. How to Find the LCM of 5022 and 5026?

Answer:

Least Common Multiple of 5022 and 5026 = 12620286

Step 1: Find the prime factorization of 5022

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

Step 2: Find the prime factorization of 5026

5026 = 2 x 7 x 359

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

LCM = 12620286 = 2 x 3 x 3 x 3 x 3 x 7 x 31 x 359

Step 4: Therefore, the least common multiple of 5022 and 5026 is 12620286.