Least Common Multiple of 505 and 506

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 506 the smallest integer that is 255530 that is divisible by both numbers.

Least Common Multiple (LCM) of 505 and 506 is 255530.

LCM(505,506) = 255530

LCM of 505 and 506

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

LCM of:
and

Least Common Multiple of 505 and 506

LCM of 505 and 506 is 255530

Least common multiple can be found by multiplying the highest exponent prime factors of 505 and 506. First we will calculate the prime factors of 505 and 506.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 505 and 506.

LCM(505,506) = 21×51×111×231×1011
LCM(505,506) = 255530

Factors of 505

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

1, 5, 101, 505

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Least Common Multiple of 505 and 506 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 506, than apply into the LCM equation.

GCF(505,506) = 1
LCM(505,506) = ( 505 × 506) / 1
LCM(505,506) = 255530 / 1
LCM(505,506) = 255530

Properties of LCM 505 and 506

(i) The LCM of 506 and 505 is associative

LCM of 505 and 506 = LCM of 506 and 505

Related Least Common Multiples of 505

Related Least Common Multiples of 506

Frequently Asked Questions on LCM of 505 and 506

1. What is the LCM of 505 and 506?

Answer: LCM of 505 and 506 is 255530.

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 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.

4. How to Find the LCM of 505 and 506?

Answer:

Least Common Multiple of 505 and 506 = 255530

Step 1: Find the prime factorization of 505

505 = 5 x 101

Step 2: Find the prime factorization of 506

506 = 2 x 11 x 23

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

LCM = 255530 = 2 x 5 x 11 x 23 x 101

Step 4: Therefore, the least common multiple of 505 and 506 is 255530.