Least Common Multiple of 5060 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 5060 and 5068 the smallest integer that is 6411020 that is divisible by both numbers.

Least Common Multiple (LCM) of 5060 and 5068 is 6411020.

LCM(5060,5068) = 6411020

LCM of 5060 and 5068

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

LCM of:
and

Least Common Multiple of 5060 and 5068

LCM of 5060 and 5068 is 6411020

Least common multiple can be found by multiplying the highest exponent prime factors of 5060 and 5068. First we will calculate the prime factors of 5060 and 5068.

Prime Factorization of 5060


2 5060
2 2530
5 1265
11 253
23 23
1

Prime factors of 5060 are 2, 5, 11,23. Prime factorization of 5060 in exponential form is:

5060 = 22×51×111×231

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 5060 and 5068.

LCM(5060,5068) = 22×51×71×111×231×1811
LCM(5060,5068) = 6411020

Factors of 5060

List of positive integer factors of 5060 that divides 5060 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060

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 5060 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 5060 and 5068, than apply into the LCM equation.

GCF(5060,5068) = 4
LCM(5060,5068) = ( 5060 × 5068) / 4
LCM(5060,5068) = 25644080 / 4
LCM(5060,5068) = 6411020

Properties of LCM 5060 and 5068

(i) The LCM of 5068 and 5060 is associative

LCM of 5060 and 5068 = LCM of 5068 and 5060

Related Least Common Multiples of 5060

Related Least Common Multiples of 5068

Frequently Asked Questions on LCM of 5060 and 5068

1. What is the LCM of 5060 and 5068?

Answer: LCM of 5060 and 5068 is 6411020.

2. What are the Factors of 5060?

Answer: Factors of 5060 are 1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060. There are 24 integers that are factors of 5060. The greatest factor of 5060 is 5060.

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 5060 and 5068?

Answer:

Least Common Multiple of 5060 and 5068 = 6411020

Step 1: Find the prime factorization of 5060

5060 = 2 x 2 x 5 x 11 x 23

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 = 6411020 = 2 x 2 x 5 x 7 x 11 x 23 x 181

Step 4: Therefore, the least common multiple of 5060 and 5068 is 6411020.