Least Common Multiple of 499 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 499 and 504 the smallest integer that is 251496 that is divisible by both numbers.

Least Common Multiple (LCM) of 499 and 504 is 251496.

LCM(499,504) = 251496

LCM of 499 and 504

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

LCM of:
and

Least Common Multiple of 499 and 504

LCM of 499 and 504 is 251496

Least common multiple can be found by multiplying the highest exponent prime factors of 499 and 504. First we will calculate the prime factors of 499 and 504.

Prime Factorization of 499


499 499
1

Prime factors of 499 are 499. Prime factorization of 499 in exponential form is:

499 = 4991

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 499 and 504.

LCM(499,504) = 23×32×71×4991
LCM(499,504) = 251496

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1, 499

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 499 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 499 and 504, than apply into the LCM equation.

GCF(499,504) = 1
LCM(499,504) = ( 499 × 504) / 1
LCM(499,504) = 251496 / 1
LCM(499,504) = 251496

Properties of LCM 499 and 504

(i) The LCM of 504 and 499 is associative

LCM of 499 and 504 = LCM of 504 and 499

Related Least Common Multiples of 499

Related Least Common Multiples of 504

Frequently Asked Questions on LCM of 499 and 504

1. What is the LCM of 499 and 504?

Answer: LCM of 499 and 504 is 251496.

2. What are the Factors of 499?

Answer: Factors of 499 are 1, 499. There are 2 integers that are factors of 499. The greatest factor of 499 is 499.

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 499 and 504?

Answer:

Least Common Multiple of 499 and 504 = 251496

Step 1: Find the prime factorization of 499

499 = 499

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 = 251496 = 2 x 2 x 2 x 3 x 3 x 7 x 499

Step 4: Therefore, the least common multiple of 499 and 504 is 251496.