Least Common Multiple of 508 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 508 and 511 the smallest integer that is 259588 that is divisible by both numbers.

Least Common Multiple (LCM) of 508 and 511 is 259588.

LCM(508,511) = 259588

LCM of 508 and 511

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

LCM of:
and

Least Common Multiple of 508 and 511

LCM of 508 and 511 is 259588

Least common multiple can be found by multiplying the highest exponent prime factors of 508 and 511. First we will calculate the prime factors of 508 and 511.

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 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 508 and 511.

LCM(508,511) = 22×71×731×1271
LCM(508,511) = 259588

Factors of 508

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

1, 2, 4, 127, 254, 508

Factors of 511

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

1, 7, 73, 511

Least Common Multiple of 508 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 508 and 511, than apply into the LCM equation.

GCF(508,511) = 1
LCM(508,511) = ( 508 × 511) / 1
LCM(508,511) = 259588 / 1
LCM(508,511) = 259588

Properties of LCM 508 and 511

(i) The LCM of 511 and 508 is associative

LCM of 508 and 511 = LCM of 511 and 508

Related Least Common Multiples of 508

Related Least Common Multiples of 511

Frequently Asked Questions on LCM of 508 and 511

1. What is the LCM of 508 and 511?

Answer: LCM of 508 and 511 is 259588.

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 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 508 and 511?

Answer:

Least Common Multiple of 508 and 511 = 259588

Step 1: Find the prime factorization of 508

508 = 2 x 2 x 127

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 = 259588 = 2 x 2 x 7 x 73 x 127

Step 4: Therefore, the least common multiple of 508 and 511 is 259588.