Least Common Multiple of 505 and 508

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 508 the smallest integer that is 256540 that is divisible by both numbers.

Least Common Multiple (LCM) of 505 and 508 is 256540.

LCM(505,508) = 256540

LCM of 505 and 508

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

LCM of:
and

Least Common Multiple of 505 and 508

LCM of 505 and 508 is 256540

Least common multiple can be found by multiplying the highest exponent prime factors of 505 and 508. First we will calculate the prime factors of 505 and 508.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 505 and 508.

LCM(505,508) = 22×51×1011×1271
LCM(505,508) = 256540

Factors of 505

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

1, 5, 101, 505

Factors of 508

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

1, 2, 4, 127, 254, 508

Least Common Multiple of 505 and 508 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 508, than apply into the LCM equation.

GCF(505,508) = 1
LCM(505,508) = ( 505 × 508) / 1
LCM(505,508) = 256540 / 1
LCM(505,508) = 256540

Properties of LCM 505 and 508

(i) The LCM of 508 and 505 is associative

LCM of 505 and 508 = LCM of 508 and 505

Related Least Common Multiples of 505

Related Least Common Multiples of 508

Frequently Asked Questions on LCM of 505 and 508

1. What is the LCM of 505 and 508?

Answer: LCM of 505 and 508 is 256540.

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 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.

4. How to Find the LCM of 505 and 508?

Answer:

Least Common Multiple of 505 and 508 = 256540

Step 1: Find the prime factorization of 505

505 = 5 x 101

Step 2: Find the prime factorization of 508

508 = 2 x 2 x 127

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

LCM = 256540 = 2 x 2 x 5 x 101 x 127

Step 4: Therefore, the least common multiple of 505 and 508 is 256540.