Least Common Multiple of 5120 and 5127

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 5127 the smallest integer that is 26250240 that is divisible by both numbers.

Least Common Multiple (LCM) of 5120 and 5127 is 26250240.

LCM(5120,5127) = 26250240

LCM of 5120 and 5127

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

LCM of:
and

Least Common Multiple of 5120 and 5127

LCM of 5120 and 5127 is 26250240

Least common multiple can be found by multiplying the highest exponent prime factors of 5120 and 5127. First we will calculate the prime factors of 5120 and 5127.

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 5127


3 5127
1709 1709
1

Prime factors of 5127 are 3,1709. Prime factorization of 5127 in exponential form is:

5127 = 31×17091

Now multiplying the highest exponent prime factors to calculate the LCM of 5120 and 5127.

LCM(5120,5127) = 210×31×51×17091
LCM(5120,5127) = 26250240

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 5127

List of positive integer factors of 5127 that divides 5127 without a remainder.

1, 3, 1709, 5127

Least Common Multiple of 5120 and 5127 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 5127, than apply into the LCM equation.

GCF(5120,5127) = 1
LCM(5120,5127) = ( 5120 × 5127) / 1
LCM(5120,5127) = 26250240 / 1
LCM(5120,5127) = 26250240

Properties of LCM 5120 and 5127

(i) The LCM of 5127 and 5120 is associative

LCM of 5120 and 5127 = LCM of 5127 and 5120

Related Least Common Multiples of 5120

Related Least Common Multiples of 5127

Frequently Asked Questions on LCM of 5120 and 5127

1. What is the LCM of 5120 and 5127?

Answer: LCM of 5120 and 5127 is 26250240.

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 5127?

Answer: Factors of 5127 are 1, 3, 1709, 5127. There are 4 integers that are factors of 5127. The greatest factor of 5127 is 5127.

4. How to Find the LCM of 5120 and 5127?

Answer:

Least Common Multiple of 5120 and 5127 = 26250240

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 5127

5127 = 3 x 1709

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

LCM = 26250240 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 1709

Step 4: Therefore, the least common multiple of 5120 and 5127 is 26250240.