Least Common Multiple of 508 and 513

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 513 the smallest integer that is 260604 that is divisible by both numbers.

Least Common Multiple (LCM) of 508 and 513 is 260604.

LCM(508,513) = 260604

LCM of 508 and 513

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

LCM of:
and

Least Common Multiple of 508 and 513

LCM of 508 and 513 is 260604

Least common multiple can be found by multiplying the highest exponent prime factors of 508 and 513. First we will calculate the prime factors of 508 and 513.

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 513


3 513
3 171
3 57
19 19
1

Prime factors of 513 are 3,19. Prime factorization of 513 in exponential form is:

513 = 33×191

Now multiplying the highest exponent prime factors to calculate the LCM of 508 and 513.

LCM(508,513) = 22×33×191×1271
LCM(508,513) = 260604

Factors of 508

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

1, 2, 4, 127, 254, 508

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Least Common Multiple of 508 and 513 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 513, than apply into the LCM equation.

GCF(508,513) = 1
LCM(508,513) = ( 508 × 513) / 1
LCM(508,513) = 260604 / 1
LCM(508,513) = 260604

Properties of LCM 508 and 513

(i) The LCM of 513 and 508 is associative

LCM of 508 and 513 = LCM of 513 and 508

Related Least Common Multiples of 508

Related Least Common Multiples of 513

Frequently Asked Questions on LCM of 508 and 513

1. What is the LCM of 508 and 513?

Answer: LCM of 508 and 513 is 260604.

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 513?

Answer: Factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513. There are 8 integers that are factors of 513. The greatest factor of 513 is 513.

4. How to Find the LCM of 508 and 513?

Answer:

Least Common Multiple of 508 and 513 = 260604

Step 1: Find the prime factorization of 508

508 = 2 x 2 x 127

Step 2: Find the prime factorization of 513

513 = 3 x 3 x 3 x 19

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

LCM = 260604 = 2 x 2 x 3 x 3 x 3 x 19 x 127

Step 4: Therefore, the least common multiple of 508 and 513 is 260604.