Least Common Multiple of 505 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 505 and 513 the smallest integer that is 259065 that is divisible by both numbers.

Least Common Multiple (LCM) of 505 and 513 is 259065.

LCM(505,513) = 259065

LCM of 505 and 513

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

LCM of:
and

Least Common Multiple of 505 and 513

LCM of 505 and 513 is 259065

Least common multiple can be found by multiplying the highest exponent prime factors of 505 and 513. First we will calculate the prime factors of 505 and 513.

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 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 505 and 513.

LCM(505,513) = 33×51×191×1011
LCM(505,513) = 259065

Factors of 505

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

1, 5, 101, 505

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 505 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 505 and 513, than apply into the LCM equation.

GCF(505,513) = 1
LCM(505,513) = ( 505 × 513) / 1
LCM(505,513) = 259065 / 1
LCM(505,513) = 259065

Properties of LCM 505 and 513

(i) The LCM of 513 and 505 is associative

LCM of 505 and 513 = LCM of 513 and 505

Related Least Common Multiples of 505

Related Least Common Multiples of 513

Frequently Asked Questions on LCM of 505 and 513

1. What is the LCM of 505 and 513?

Answer: LCM of 505 and 513 is 259065.

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 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 505 and 513?

Answer:

Least Common Multiple of 505 and 513 = 259065

Step 1: Find the prime factorization of 505

505 = 5 x 101

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 = 259065 = 3 x 3 x 3 x 5 x 19 x 101

Step 4: Therefore, the least common multiple of 505 and 513 is 259065.