Least Common Multiple of 504 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 504 and 511 the smallest integer that is 36792 that is divisible by both numbers.

Least Common Multiple (LCM) of 504 and 511 is 36792.

LCM(504,511) = 36792

LCM of 504 and 511

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

LCM of:
and

Least Common Multiple of 504 and 511

LCM of 504 and 511 is 36792

Least common multiple can be found by multiplying the highest exponent prime factors of 504 and 511. First we will calculate the prime factors of 504 and 511.

Prime Factorization of 504


2 504
2 252
2 126
3 63
3 21
7 7
1

Prime factors of 504 are 2, 3,7. Prime factorization of 504 in exponential form is:

504 = 23×32×71

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 504 and 511.

LCM(504,511) = 23×32×71×731
LCM(504,511) = 36792

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Factors of 511

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

1, 7, 73, 511

Least Common Multiple of 504 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 504 and 511, than apply into the LCM equation.

GCF(504,511) = 7
LCM(504,511) = ( 504 × 511) / 7
LCM(504,511) = 257544 / 7
LCM(504,511) = 36792

Properties of LCM 504 and 511

(i) The LCM of 511 and 504 is associative

LCM of 504 and 511 = LCM of 511 and 504

Related Least Common Multiples of 504

Related Least Common Multiples of 511

Frequently Asked Questions on LCM of 504 and 511

1. What is the LCM of 504 and 511?

Answer: LCM of 504 and 511 is 36792.

2. What are the Factors of 504?

Answer: Factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504. There are 24 integers that are factors of 504. The greatest factor of 504 is 504.

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 504 and 511?

Answer:

Least Common Multiple of 504 and 511 = 36792

Step 1: Find the prime factorization of 504

504 = 2 x 2 x 2 x 3 x 3 x 7

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 = 36792 = 2 x 2 x 2 x 3 x 3 x 7 x 73

Step 4: Therefore, the least common multiple of 504 and 511 is 36792.