Least Common Multiple of 506 and 507

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 507 the smallest integer that is 256542 that is divisible by both numbers.

Least Common Multiple (LCM) of 506 and 507 is 256542.

LCM(506,507) = 256542

LCM of 506 and 507

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

LCM of:
and

Least Common Multiple of 506 and 507

LCM of 506 and 507 is 256542

Least common multiple can be found by multiplying the highest exponent prime factors of 506 and 507. First we will calculate the prime factors of 506 and 507.

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 507


3 507
13 169
13 13
1

Prime factors of 507 are 3,13. Prime factorization of 507 in exponential form is:

507 = 31×132

Now multiplying the highest exponent prime factors to calculate the LCM of 506 and 507.

LCM(506,507) = 21×31×111×132×231
LCM(506,507) = 256542

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 507

List of positive integer factors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Least Common Multiple of 506 and 507 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 507, than apply into the LCM equation.

GCF(506,507) = 1
LCM(506,507) = ( 506 × 507) / 1
LCM(506,507) = 256542 / 1
LCM(506,507) = 256542

Properties of LCM 506 and 507

(i) The LCM of 507 and 506 is associative

LCM of 506 and 507 = LCM of 507 and 506

Related Least Common Multiples of 506

Related Least Common Multiples of 507

Frequently Asked Questions on LCM of 506 and 507

1. What is the LCM of 506 and 507?

Answer: LCM of 506 and 507 is 256542.

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 507?

Answer: Factors of 507 are 1, 3, 13, 39, 169, 507. There are 6 integers that are factors of 507. The greatest factor of 507 is 507.

4. How to Find the LCM of 506 and 507?

Answer:

Least Common Multiple of 506 and 507 = 256542

Step 1: Find the prime factorization of 506

506 = 2 x 11 x 23

Step 2: Find the prime factorization of 507

507 = 3 x 13 x 13

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

LCM = 256542 = 2 x 3 x 11 x 13 x 13 x 23

Step 4: Therefore, the least common multiple of 506 and 507 is 256542.