Least Common Multiple of 5116 and 5122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5116 and 5122 the smallest integer that is 13102076 that is divisible by both numbers.

Least Common Multiple (LCM) of 5116 and 5122 is 13102076.

LCM(5116,5122) = 13102076

LCM of 5116 and 5122

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

LCM of:
and

Least Common Multiple of 5116 and 5122

LCM of 5116 and 5122 is 13102076

Least common multiple can be found by multiplying the highest exponent prime factors of 5116 and 5122. First we will calculate the prime factors of 5116 and 5122.

Prime Factorization of 5116


2 5116
2 2558
1279 1279
1

Prime factors of 5116 are 2,1279. Prime factorization of 5116 in exponential form is:

5116 = 22×12791

Prime Factorization of 5122


2 5122
13 2561
197 197
1

Prime factors of 5122 are 2, 13,197. Prime factorization of 5122 in exponential form is:

5122 = 21×131×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 5116 and 5122.

LCM(5116,5122) = 22×131×1971×12791
LCM(5116,5122) = 13102076

Factors of 5116

List of positive integer factors of 5116 that divides 5116 without a remainder.

1, 2, 4, 1279, 2558, 5116

Factors of 5122

List of positive integer factors of 5122 that divides 5122 without a remainder.

1, 2, 13, 26, 197, 394, 2561, 5122

Least Common Multiple of 5116 and 5122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5116 and 5122, than apply into the LCM equation.

GCF(5116,5122) = 2
LCM(5116,5122) = ( 5116 × 5122) / 2
LCM(5116,5122) = 26204152 / 2
LCM(5116,5122) = 13102076

Properties of LCM 5116 and 5122

(i) The LCM of 5122 and 5116 is associative

LCM of 5116 and 5122 = LCM of 5122 and 5116

Related Least Common Multiples of 5116

Related Least Common Multiples of 5122

Frequently Asked Questions on LCM of 5116 and 5122

1. What is the LCM of 5116 and 5122?

Answer: LCM of 5116 and 5122 is 13102076.

2. What are the Factors of 5116?

Answer: Factors of 5116 are 1, 2, 4, 1279, 2558, 5116. There are 6 integers that are factors of 5116. The greatest factor of 5116 is 5116.

3. What are the Factors of 5122?

Answer: Factors of 5122 are 1, 2, 13, 26, 197, 394, 2561, 5122. There are 8 integers that are factors of 5122. The greatest factor of 5122 is 5122.

4. How to Find the LCM of 5116 and 5122?

Answer:

Least Common Multiple of 5116 and 5122 = 13102076

Step 1: Find the prime factorization of 5116

5116 = 2 x 2 x 1279

Step 2: Find the prime factorization of 5122

5122 = 2 x 13 x 197

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

LCM = 13102076 = 2 x 2 x 13 x 197 x 1279

Step 4: Therefore, the least common multiple of 5116 and 5122 is 13102076.