Least Common Multiple of 502 and 504

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 504 the smallest integer that is 126504 that is divisible by both numbers.

Least Common Multiple (LCM) of 502 and 504 is 126504.

LCM(502,504) = 126504

LCM of 502 and 504

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

LCM of:
and

Least Common Multiple of 502 and 504

LCM of 502 and 504 is 126504

Least common multiple can be found by multiplying the highest exponent prime factors of 502 and 504. First we will calculate the prime factors of 502 and 504.

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 504


2 504
2 252
2 126
3 63
3 21
7 7
1

Prime factors of 504 are 2, 3,7. Prime factorization of 504 in exponential form is:

504 = 23×32×71

Now multiplying the highest exponent prime factors to calculate the LCM of 502 and 504.

LCM(502,504) = 23×32×71×2511
LCM(502,504) = 126504

Factors of 502

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

1, 2, 251, 502

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Least Common Multiple of 502 and 504 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 504, than apply into the LCM equation.

GCF(502,504) = 2
LCM(502,504) = ( 502 × 504) / 2
LCM(502,504) = 253008 / 2
LCM(502,504) = 126504

Properties of LCM 502 and 504

(i) The LCM of 504 and 502 is associative

LCM of 502 and 504 = LCM of 504 and 502

Related Least Common Multiples of 502

Related Least Common Multiples of 504

Frequently Asked Questions on LCM of 502 and 504

1. What is the LCM of 502 and 504?

Answer: LCM of 502 and 504 is 126504.

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 504?

Answer: Factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504. There are 24 integers that are factors of 504. The greatest factor of 504 is 504.

4. How to Find the LCM of 502 and 504?

Answer:

Least Common Multiple of 502 and 504 = 126504

Step 1: Find the prime factorization of 502

502 = 2 x 251

Step 2: Find the prime factorization of 504

504 = 2 x 2 x 2 x 3 x 3 x 7

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

LCM = 126504 = 2 x 2 x 2 x 3 x 3 x 7 x 251

Step 4: Therefore, the least common multiple of 502 and 504 is 126504.