Least Common Multiple of 502 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 502 and 506 the smallest integer that is 127006 that is divisible by both numbers.

Least Common Multiple (LCM) of 502 and 506 is 127006.

LCM(502,506) = 127006

LCM of 502 and 506

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

LCM of:
and

Least Common Multiple of 502 and 506

LCM of 502 and 506 is 127006

Least common multiple can be found by multiplying the highest exponent prime factors of 502 and 506. First we will calculate the prime factors of 502 and 506.

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 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 502 and 506.

LCM(502,506) = 21×111×231×2511
LCM(502,506) = 127006

Factors of 502

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

1, 2, 251, 502

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 502 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 502 and 506, than apply into the LCM equation.

GCF(502,506) = 2
LCM(502,506) = ( 502 × 506) / 2
LCM(502,506) = 254012 / 2
LCM(502,506) = 127006

Properties of LCM 502 and 506

(i) The LCM of 506 and 502 is associative

LCM of 502 and 506 = LCM of 506 and 502

Related Least Common Multiples of 502

Related Least Common Multiples of 506

Frequently Asked Questions on LCM of 502 and 506

1. What is the LCM of 502 and 506?

Answer: LCM of 502 and 506 is 127006.

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 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 502 and 506?

Answer:

Least Common Multiple of 502 and 506 = 127006

Step 1: Find the prime factorization of 502

502 = 2 x 251

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 = 127006 = 2 x 11 x 23 x 251

Step 4: Therefore, the least common multiple of 502 and 506 is 127006.