Least Common Multiple of 5115 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 5115 and 5120 the smallest integer that is 5237760 that is divisible by both numbers.

Least Common Multiple (LCM) of 5115 and 5120 is 5237760.

LCM(5115,5120) = 5237760

LCM of 5115 and 5120

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

LCM of:
and

Least Common Multiple of 5115 and 5120

LCM of 5115 and 5120 is 5237760

Least common multiple can be found by multiplying the highest exponent prime factors of 5115 and 5120. First we will calculate the prime factors of 5115 and 5120.

Prime Factorization of 5115


3 5115
5 1705
11 341
31 31
1

Prime factors of 5115 are 3, 5, 11,31. Prime factorization of 5115 in exponential form is:

5115 = 31×51×111×311

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 5115 and 5120.

LCM(5115,5120) = 210×31×51×111×311
LCM(5115,5120) = 5237760

Factors of 5115

List of positive integer factors of 5115 that divides 5115 without a remainder.

1, 3, 5, 11, 15, 31, 33, 55, 93, 155, 165, 341, 465, 1023, 1705, 5115

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 5115 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 5115 and 5120, than apply into the LCM equation.

GCF(5115,5120) = 5
LCM(5115,5120) = ( 5115 × 5120) / 5
LCM(5115,5120) = 26188800 / 5
LCM(5115,5120) = 5237760

Properties of LCM 5115 and 5120

(i) The LCM of 5120 and 5115 is associative

LCM of 5115 and 5120 = LCM of 5120 and 5115

Related Least Common Multiples of 5115

Related Least Common Multiples of 5120

Frequently Asked Questions on LCM of 5115 and 5120

1. What is the LCM of 5115 and 5120?

Answer: LCM of 5115 and 5120 is 5237760.

2. What are the Factors of 5115?

Answer: Factors of 5115 are 1, 3, 5, 11, 15, 31, 33, 55, 93, 155, 165, 341, 465, 1023, 1705, 5115. There are 16 integers that are factors of 5115. The greatest factor of 5115 is 5115.

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 5115 and 5120?

Answer:

Least Common Multiple of 5115 and 5120 = 5237760

Step 1: Find the prime factorization of 5115

5115 = 3 x 5 x 11 x 31

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 = 5237760 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 31

Step 4: Therefore, the least common multiple of 5115 and 5120 is 5237760.