Least Common Multiple of 5120 and 5128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5120 and 5128 the smallest integer that is 3281920 that is divisible by both numbers.

Least Common Multiple (LCM) of 5120 and 5128 is 3281920.

LCM(5120,5128) = 3281920

LCM of 5120 and 5128

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

LCM of:
and

Least Common Multiple of 5120 and 5128

LCM of 5120 and 5128 is 3281920

Least common multiple can be found by multiplying the highest exponent prime factors of 5120 and 5128. First we will calculate the prime factors of 5120 and 5128.

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

Prime Factorization of 5128


2 5128
2 2564
2 1282
641 641
1

Prime factors of 5128 are 2,641. Prime factorization of 5128 in exponential form is:

5128 = 23×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 5120 and 5128.

LCM(5120,5128) = 210×51×6411
LCM(5120,5128) = 3281920

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

Factors of 5128

List of positive integer factors of 5128 that divides 5128 without a remainder.

1, 2, 4, 8, 641, 1282, 2564, 5128

Least Common Multiple of 5120 and 5128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5120 and 5128, than apply into the LCM equation.

GCF(5120,5128) = 8
LCM(5120,5128) = ( 5120 × 5128) / 8
LCM(5120,5128) = 26255360 / 8
LCM(5120,5128) = 3281920

Properties of LCM 5120 and 5128

(i) The LCM of 5128 and 5120 is associative

LCM of 5120 and 5128 = LCM of 5128 and 5120

Related Least Common Multiples of 5120

Related Least Common Multiples of 5128

Frequently Asked Questions on LCM of 5120 and 5128

1. What is the LCM of 5120 and 5128?

Answer: LCM of 5120 and 5128 is 3281920.

2. 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.

3. What are the Factors of 5128?

Answer: Factors of 5128 are 1, 2, 4, 8, 641, 1282, 2564, 5128. There are 8 integers that are factors of 5128. The greatest factor of 5128 is 5128.

4. How to Find the LCM of 5120 and 5128?

Answer:

Least Common Multiple of 5120 and 5128 = 3281920

Step 1: 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 2: Find the prime factorization of 5128

5128 = 2 x 2 x 2 x 641

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

LCM = 3281920 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 641

Step 4: Therefore, the least common multiple of 5120 and 5128 is 3281920.