Least Common Multiple of 505 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 505 and 511 the smallest integer that is 258055 that is divisible by both numbers.

Least Common Multiple (LCM) of 505 and 511 is 258055.

LCM(505,511) = 258055

LCM of 505 and 511

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

LCM of:
and

Least Common Multiple of 505 and 511

LCM of 505 and 511 is 258055

Least common multiple can be found by multiplying the highest exponent prime factors of 505 and 511. First we will calculate the prime factors of 505 and 511.

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 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 505 and 511.

LCM(505,511) = 51×71×731×1011
LCM(505,511) = 258055

Factors of 505

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

1, 5, 101, 505

Factors of 511

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

1, 7, 73, 511

Least Common Multiple of 505 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 505 and 511, than apply into the LCM equation.

GCF(505,511) = 1
LCM(505,511) = ( 505 × 511) / 1
LCM(505,511) = 258055 / 1
LCM(505,511) = 258055

Properties of LCM 505 and 511

(i) The LCM of 511 and 505 is associative

LCM of 505 and 511 = LCM of 511 and 505

Related Least Common Multiples of 505

Related Least Common Multiples of 511

Frequently Asked Questions on LCM of 505 and 511

1. What is the LCM of 505 and 511?

Answer: LCM of 505 and 511 is 258055.

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 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 505 and 511?

Answer:

Least Common Multiple of 505 and 511 = 258055

Step 1: Find the prime factorization of 505

505 = 5 x 101

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 = 258055 = 5 x 7 x 73 x 101

Step 4: Therefore, the least common multiple of 505 and 511 is 258055.