Least Common Multiple of 496 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 496 and 504 the smallest integer that is 31248 that is divisible by both numbers.

Least Common Multiple (LCM) of 496 and 504 is 31248.

LCM(496,504) = 31248

LCM of 496 and 504

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

LCM of:
and

Least Common Multiple of 496 and 504

LCM of 496 and 504 is 31248

Least common multiple can be found by multiplying the highest exponent prime factors of 496 and 504. First we will calculate the prime factors of 496 and 504.

Prime Factorization of 496


2 496
2 248
2 124
2 62
31 31
1

Prime factors of 496 are 2,31. Prime factorization of 496 in exponential form is:

496 = 24×311

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 496 and 504.

LCM(496,504) = 24×32×71×311
LCM(496,504) = 31248

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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 496 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 496 and 504, than apply into the LCM equation.

GCF(496,504) = 8
LCM(496,504) = ( 496 × 504) / 8
LCM(496,504) = 249984 / 8
LCM(496,504) = 31248

Properties of LCM 496 and 504

(i) The LCM of 504 and 496 is associative

LCM of 496 and 504 = LCM of 504 and 496

Related Least Common Multiples of 496

Related Least Common Multiples of 504

Frequently Asked Questions on LCM of 496 and 504

1. What is the LCM of 496 and 504?

Answer: LCM of 496 and 504 is 31248.

2. What are the Factors of 496?

Answer: Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496. There are 10 integers that are factors of 496. The greatest factor of 496 is 496.

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 496 and 504?

Answer:

Least Common Multiple of 496 and 504 = 31248

Step 1: Find the prime factorization of 496

496 = 2 x 2 x 2 x 2 x 31

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 = 31248 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 31

Step 4: Therefore, the least common multiple of 496 and 504 is 31248.