Least Common Multiple of 508 and 512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 508 and 512 the smallest integer that is 65024 that is divisible by both numbers.

Least Common Multiple (LCM) of 508 and 512 is 65024.

LCM(508,512) = 65024

LCM of 508 and 512

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

LCM of:
and

Least Common Multiple of 508 and 512

LCM of 508 and 512 is 65024

Least common multiple can be found by multiplying the highest exponent prime factors of 508 and 512. First we will calculate the prime factors of 508 and 512.

Prime Factorization of 508


2 508
2 254
127 127
1

Prime factors of 508 are 2,127. Prime factorization of 508 in exponential form is:

508 = 22×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 508 and 512.

LCM(508,512) = 29×1271
LCM(508,512) = 65024

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

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

Least Common Multiple of 508 and 512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 508 and 512, than apply into the LCM equation.

GCF(508,512) = 4
LCM(508,512) = ( 508 × 512) / 4
LCM(508,512) = 260096 / 4
LCM(508,512) = 65024

Properties of LCM 508 and 512

(i) The LCM of 512 and 508 is associative

LCM of 508 and 512 = LCM of 512 and 508

Related Least Common Multiples of 508

Related Least Common Multiples of 512

Frequently Asked Questions on LCM of 508 and 512

1. What is the LCM of 508 and 512?

Answer: LCM of 508 and 512 is 65024.

2. What are the Factors of 508?

Answer: Factors of 508 are 1, 2, 4, 127, 254, 508. There are 6 integers that are factors of 508. The greatest factor of 508 is 508.

3. 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.

4. How to Find the LCM of 508 and 512?

Answer:

Least Common Multiple of 508 and 512 = 65024

Step 1: Find the prime factorization of 508

508 = 2 x 2 x 127

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 65024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 127

Step 4: Therefore, the least common multiple of 508 and 512 is 65024.