Least Common Multiple of 502 and 509

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 509 the smallest integer that is 255518 that is divisible by both numbers.

Least Common Multiple (LCM) of 502 and 509 is 255518.

LCM(502,509) = 255518

LCM of 502 and 509

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

LCM of:
and

Least Common Multiple of 502 and 509

LCM of 502 and 509 is 255518

Least common multiple can be found by multiplying the highest exponent prime factors of 502 and 509. First we will calculate the prime factors of 502 and 509.

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 509


509 509
1

Prime factors of 509 are 509. Prime factorization of 509 in exponential form is:

509 = 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 502 and 509.

LCM(502,509) = 21×2511×5091
LCM(502,509) = 255518

Factors of 502

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

1, 2, 251, 502

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1, 509

Least Common Multiple of 502 and 509 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 509, than apply into the LCM equation.

GCF(502,509) = 1
LCM(502,509) = ( 502 × 509) / 1
LCM(502,509) = 255518 / 1
LCM(502,509) = 255518

Properties of LCM 502 and 509

(i) The LCM of 509 and 502 is associative

LCM of 502 and 509 = LCM of 509 and 502

Related Least Common Multiples of 502

Related Least Common Multiples of 509

Frequently Asked Questions on LCM of 502 and 509

1. What is the LCM of 502 and 509?

Answer: LCM of 502 and 509 is 255518.

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 509?

Answer: Factors of 509 are 1, 509. There are 2 integers that are factors of 509. The greatest factor of 509 is 509.

4. How to Find the LCM of 502 and 509?

Answer:

Least Common Multiple of 502 and 509 = 255518

Step 1: Find the prime factorization of 502

502 = 2 x 251

Step 2: Find the prime factorization of 509

509 = 509

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

LCM = 255518 = 2 x 251 x 509

Step 4: Therefore, the least common multiple of 502 and 509 is 255518.