Least Common Multiple of 505 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 505 and 507 the smallest integer that is 256035 that is divisible by both numbers.

Least Common Multiple (LCM) of 505 and 507 is 256035.

LCM(505,507) = 256035

LCM of 505 and 507

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

LCM of:
and

Least Common Multiple of 505 and 507

LCM of 505 and 507 is 256035

Least common multiple can be found by multiplying the highest exponent prime factors of 505 and 507. First we will calculate the prime factors of 505 and 507.

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 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 505 and 507.

LCM(505,507) = 31×51×132×1011
LCM(505,507) = 256035

Factors of 505

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

1, 5, 101, 505

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 505 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 505 and 507, than apply into the LCM equation.

GCF(505,507) = 1
LCM(505,507) = ( 505 × 507) / 1
LCM(505,507) = 256035 / 1
LCM(505,507) = 256035

Properties of LCM 505 and 507

(i) The LCM of 507 and 505 is associative

LCM of 505 and 507 = LCM of 507 and 505

Related Least Common Multiples of 505

Related Least Common Multiples of 507

Frequently Asked Questions on LCM of 505 and 507

1. What is the LCM of 505 and 507?

Answer: LCM of 505 and 507 is 256035.

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 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 505 and 507?

Answer:

Least Common Multiple of 505 and 507 = 256035

Step 1: Find the prime factorization of 505

505 = 5 x 101

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 = 256035 = 3 x 5 x 13 x 13 x 101

Step 4: Therefore, the least common multiple of 505 and 507 is 256035.