Least Common Multiple of 512 and 515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 512 and 515 the smallest integer that is 263680 that is divisible by both numbers.

Least Common Multiple (LCM) of 512 and 515 is 263680.

LCM(512,515) = 263680

LCM of 512 and 515

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

LCM of:
and

Least Common Multiple of 512 and 515

LCM of 512 and 515 is 263680

Least common multiple can be found by multiplying the highest exponent prime factors of 512 and 515. First we will calculate the prime factors of 512 and 515.

Prime Factorization of 512


2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 512 are 2. Prime factorization of 512 in exponential form is:

512 = 29

Prime Factorization of 515


5 515
103 103
1

Prime factors of 515 are 5,103. Prime factorization of 515 in exponential form is:

515 = 51×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 512 and 515.

LCM(512,515) = 29×51×1031
LCM(512,515) = 263680

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Least Common Multiple of 512 and 515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 512 and 515, than apply into the LCM equation.

GCF(512,515) = 1
LCM(512,515) = ( 512 × 515) / 1
LCM(512,515) = 263680 / 1
LCM(512,515) = 263680

Properties of LCM 512 and 515

(i) The LCM of 515 and 512 is associative

LCM of 512 and 515 = LCM of 515 and 512

Related Least Common Multiples of 512

Related Least Common Multiples of 515

Frequently Asked Questions on LCM of 512 and 515

1. What is the LCM of 512 and 515?

Answer: LCM of 512 and 515 is 263680.

2. What are the Factors of 512?

Answer: Factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512. There are 10 integers that are factors of 512. The greatest factor of 512 is 512.

3. What are the Factors of 515?

Answer: Factors of 515 are 1, 5, 103, 515. There are 4 integers that are factors of 515. The greatest factor of 515 is 515.

4. How to Find the LCM of 512 and 515?

Answer:

Least Common Multiple of 512 and 515 = 263680

Step 1: Find the prime factorization of 512

512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 515

515 = 5 x 103

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

LCM = 263680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 103

Step 4: Therefore, the least common multiple of 512 and 515 is 263680.