Least Common Multiple of 5116 and 5120

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 5120 the smallest integer that is 6548480 that is divisible by both numbers.

Least Common Multiple (LCM) of 5116 and 5120 is 6548480.

LCM(5116,5120) = 6548480

LCM of 5116 and 5120

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

LCM of:
and

Least Common Multiple of 5116 and 5120

LCM of 5116 and 5120 is 6548480

Least common multiple can be found by multiplying the highest exponent prime factors of 5116 and 5120. First we will calculate the prime factors of 5116 and 5120.

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 5120


2 5120
2 2560
2 1280
2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 5120 are 2,5. Prime factorization of 5120 in exponential form is:

5120 = 210×51

Now multiplying the highest exponent prime factors to calculate the LCM of 5116 and 5120.

LCM(5116,5120) = 210×51×12791
LCM(5116,5120) = 6548480

Factors of 5116

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

1, 2, 4, 1279, 2558, 5116

Factors of 5120

List of positive integer factors of 5120 that divides 5120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120

Least Common Multiple of 5116 and 5120 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 5120, than apply into the LCM equation.

GCF(5116,5120) = 4
LCM(5116,5120) = ( 5116 × 5120) / 4
LCM(5116,5120) = 26193920 / 4
LCM(5116,5120) = 6548480

Properties of LCM 5116 and 5120

(i) The LCM of 5120 and 5116 is associative

LCM of 5116 and 5120 = LCM of 5120 and 5116

Related Least Common Multiples of 5116

Related Least Common Multiples of 5120

Frequently Asked Questions on LCM of 5116 and 5120

1. What is the LCM of 5116 and 5120?

Answer: LCM of 5116 and 5120 is 6548480.

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 5120?

Answer: Factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120. There are 22 integers that are factors of 5120. The greatest factor of 5120 is 5120.

4. How to Find the LCM of 5116 and 5120?

Answer:

Least Common Multiple of 5116 and 5120 = 6548480

Step 1: Find the prime factorization of 5116

5116 = 2 x 2 x 1279

Step 2: Find the prime factorization of 5120

5120 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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

LCM = 6548480 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 1279

Step 4: Therefore, the least common multiple of 5116 and 5120 is 6548480.