Least Common Multiple of 5062 and 5068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5062 and 5068 the smallest integer that is 12827108 that is divisible by both numbers.

Least Common Multiple (LCM) of 5062 and 5068 is 12827108.

LCM(5062,5068) = 12827108

LCM of 5062 and 5068

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

LCM of:
and

Least Common Multiple of 5062 and 5068

LCM of 5062 and 5068 is 12827108

Least common multiple can be found by multiplying the highest exponent prime factors of 5062 and 5068. First we will calculate the prime factors of 5062 and 5068.

Prime Factorization of 5062


2 5062
2531 2531
1

Prime factors of 5062 are 2,2531. Prime factorization of 5062 in exponential form is:

5062 = 21×25311

Prime Factorization of 5068


2 5068
2 2534
7 1267
181 181
1

Prime factors of 5068 are 2, 7,181. Prime factorization of 5068 in exponential form is:

5068 = 22×71×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 5062 and 5068.

LCM(5062,5068) = 22×71×1811×25311
LCM(5062,5068) = 12827108

Factors of 5062

List of positive integer factors of 5062 that divides 5062 without a remainder.

1, 2, 2531, 5062

Factors of 5068

List of positive integer factors of 5068 that divides 5068 without a remainder.

1, 2, 4, 7, 14, 28, 181, 362, 724, 1267, 2534, 5068

Least Common Multiple of 5062 and 5068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5062 and 5068, than apply into the LCM equation.

GCF(5062,5068) = 2
LCM(5062,5068) = ( 5062 × 5068) / 2
LCM(5062,5068) = 25654216 / 2
LCM(5062,5068) = 12827108

Properties of LCM 5062 and 5068

(i) The LCM of 5068 and 5062 is associative

LCM of 5062 and 5068 = LCM of 5068 and 5062

Related Least Common Multiples of 5062

Related Least Common Multiples of 5068

Frequently Asked Questions on LCM of 5062 and 5068

1. What is the LCM of 5062 and 5068?

Answer: LCM of 5062 and 5068 is 12827108.

2. What are the Factors of 5062?

Answer: Factors of 5062 are 1, 2, 2531, 5062. There are 4 integers that are factors of 5062. The greatest factor of 5062 is 5062.

3. What are the Factors of 5068?

Answer: Factors of 5068 are 1, 2, 4, 7, 14, 28, 181, 362, 724, 1267, 2534, 5068. There are 12 integers that are factors of 5068. The greatest factor of 5068 is 5068.

4. How to Find the LCM of 5062 and 5068?

Answer:

Least Common Multiple of 5062 and 5068 = 12827108

Step 1: Find the prime factorization of 5062

5062 = 2 x 2531

Step 2: Find the prime factorization of 5068

5068 = 2 x 2 x 7 x 181

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

LCM = 12827108 = 2 x 2 x 7 x 181 x 2531

Step 4: Therefore, the least common multiple of 5062 and 5068 is 12827108.