Least Common Multiple of 506 and 511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 506 and 511 the smallest integer that is 258566 that is divisible by both numbers.

Least Common Multiple (LCM) of 506 and 511 is 258566.

LCM(506,511) = 258566

LCM of 506 and 511

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

LCM of:
and

Least Common Multiple of 506 and 511

LCM of 506 and 511 is 258566

Least common multiple can be found by multiplying the highest exponent prime factors of 506 and 511. First we will calculate the prime factors of 506 and 511.

Prime Factorization of 506


2 506
11 253
23 23
1

Prime factors of 506 are 2, 11,23. Prime factorization of 506 in exponential form is:

506 = 21×111×231

Prime Factorization of 511


7 511
73 73
1

Prime factors of 511 are 7,73. Prime factorization of 511 in exponential form is:

511 = 71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 506 and 511.

LCM(506,511) = 21×71×111×231×731
LCM(506,511) = 258566

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Least Common Multiple of 506 and 511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 506 and 511, than apply into the LCM equation.

GCF(506,511) = 1
LCM(506,511) = ( 506 × 511) / 1
LCM(506,511) = 258566 / 1
LCM(506,511) = 258566

Properties of LCM 506 and 511

(i) The LCM of 511 and 506 is associative

LCM of 506 and 511 = LCM of 511 and 506

Related Least Common Multiples of 506

Related Least Common Multiples of 511

Frequently Asked Questions on LCM of 506 and 511

1. What is the LCM of 506 and 511?

Answer: LCM of 506 and 511 is 258566.

2. What are the Factors of 506?

Answer: Factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506. There are 8 integers that are factors of 506. The greatest factor of 506 is 506.

3. What are the Factors of 511?

Answer: Factors of 511 are 1, 7, 73, 511. There are 4 integers that are factors of 511. The greatest factor of 511 is 511.

4. How to Find the LCM of 506 and 511?

Answer:

Least Common Multiple of 506 and 511 = 258566

Step 1: Find the prime factorization of 506

506 = 2 x 11 x 23

Step 2: Find the prime factorization of 511

511 = 7 x 73

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

LCM = 258566 = 2 x 7 x 11 x 23 x 73

Step 4: Therefore, the least common multiple of 506 and 511 is 258566.