Least Common Multiple of 505 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 505 and 512 the smallest integer that is 258560 that is divisible by both numbers.

Least Common Multiple (LCM) of 505 and 512 is 258560.

LCM(505,512) = 258560

LCM of 505 and 512

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

LCM of:
and

Least Common Multiple of 505 and 512

LCM of 505 and 512 is 258560

Least common multiple can be found by multiplying the highest exponent prime factors of 505 and 512. First we will calculate the prime factors of 505 and 512.

Prime Factorization of 505


5 505
101 101
1

Prime factors of 505 are 5,101. Prime factorization of 505 in exponential form is:

505 = 51×1011

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 505 and 512.

LCM(505,512) = 29×51×1011
LCM(505,512) = 258560

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1, 5, 101, 505

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 505 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 505 and 512, than apply into the LCM equation.

GCF(505,512) = 1
LCM(505,512) = ( 505 × 512) / 1
LCM(505,512) = 258560 / 1
LCM(505,512) = 258560

Properties of LCM 505 and 512

(i) The LCM of 512 and 505 is associative

LCM of 505 and 512 = LCM of 512 and 505

Related Least Common Multiples of 505

Related Least Common Multiples of 512

Frequently Asked Questions on LCM of 505 and 512

1. What is the LCM of 505 and 512?

Answer: LCM of 505 and 512 is 258560.

2. What are the Factors of 505?

Answer: Factors of 505 are 1, 5, 101, 505. There are 4 integers that are factors of 505. The greatest factor of 505 is 505.

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 505 and 512?

Answer:

Least Common Multiple of 505 and 512 = 258560

Step 1: Find the prime factorization of 505

505 = 5 x 101

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 = 258560 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 101

Step 4: Therefore, the least common multiple of 505 and 512 is 258560.