Least Common Multiple of 5116 and 5121

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 5121 the smallest integer that is 26199036 that is divisible by both numbers.

Least Common Multiple (LCM) of 5116 and 5121 is 26199036.

LCM(5116,5121) = 26199036

LCM of 5116 and 5121

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

LCM of:
and

Least Common Multiple of 5116 and 5121

LCM of 5116 and 5121 is 26199036

Least common multiple can be found by multiplying the highest exponent prime factors of 5116 and 5121. First we will calculate the prime factors of 5116 and 5121.

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 5121


3 5121
3 1707
569 569
1

Prime factors of 5121 are 3,569. Prime factorization of 5121 in exponential form is:

5121 = 32×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 5116 and 5121.

LCM(5116,5121) = 22×32×5691×12791
LCM(5116,5121) = 26199036

Factors of 5116

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

1, 2, 4, 1279, 2558, 5116

Factors of 5121

List of positive integer factors of 5121 that divides 5121 without a remainder.

1, 3, 9, 569, 1707, 5121

Least Common Multiple of 5116 and 5121 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 5121, than apply into the LCM equation.

GCF(5116,5121) = 1
LCM(5116,5121) = ( 5116 × 5121) / 1
LCM(5116,5121) = 26199036 / 1
LCM(5116,5121) = 26199036

Properties of LCM 5116 and 5121

(i) The LCM of 5121 and 5116 is associative

LCM of 5116 and 5121 = LCM of 5121 and 5116

Related Least Common Multiples of 5116

Related Least Common Multiples of 5121

Frequently Asked Questions on LCM of 5116 and 5121

1. What is the LCM of 5116 and 5121?

Answer: LCM of 5116 and 5121 is 26199036.

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 5121?

Answer: Factors of 5121 are 1, 3, 9, 569, 1707, 5121. There are 6 integers that are factors of 5121. The greatest factor of 5121 is 5121.

4. How to Find the LCM of 5116 and 5121?

Answer:

Least Common Multiple of 5116 and 5121 = 26199036

Step 1: Find the prime factorization of 5116

5116 = 2 x 2 x 1279

Step 2: Find the prime factorization of 5121

5121 = 3 x 3 x 569

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

LCM = 26199036 = 2 x 2 x 3 x 3 x 569 x 1279

Step 4: Therefore, the least common multiple of 5116 and 5121 is 26199036.