Least Common Multiple of 502 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 502 and 508 the smallest integer that is 127508 that is divisible by both numbers.

Least Common Multiple (LCM) of 502 and 508 is 127508.

LCM(502,508) = 127508

LCM of 502 and 508

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

LCM of:
and

Least Common Multiple of 502 and 508

LCM of 502 and 508 is 127508

Least common multiple can be found by multiplying the highest exponent prime factors of 502 and 508. First we will calculate the prime factors of 502 and 508.

Prime Factorization of 502


2 502
251 251
1

Prime factors of 502 are 2,251. Prime factorization of 502 in exponential form is:

502 = 21×2511

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 502 and 508.

LCM(502,508) = 22×1271×2511
LCM(502,508) = 127508

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1, 2, 251, 502

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 502 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 502 and 508, than apply into the LCM equation.

GCF(502,508) = 2
LCM(502,508) = ( 502 × 508) / 2
LCM(502,508) = 255016 / 2
LCM(502,508) = 127508

Properties of LCM 502 and 508

(i) The LCM of 508 and 502 is associative

LCM of 502 and 508 = LCM of 508 and 502

Related Least Common Multiples of 502

Related Least Common Multiples of 508

Frequently Asked Questions on LCM of 502 and 508

1. What is the LCM of 502 and 508?

Answer: LCM of 502 and 508 is 127508.

2. What are the Factors of 502?

Answer: Factors of 502 are 1, 2, 251, 502. There are 4 integers that are factors of 502. The greatest factor of 502 is 502.

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 502 and 508?

Answer:

Least Common Multiple of 502 and 508 = 127508

Step 1: Find the prime factorization of 502

502 = 2 x 251

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 = 127508 = 2 x 2 x 127 x 251

Step 4: Therefore, the least common multiple of 502 and 508 is 127508.