Least Common Multiple of 497 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 497 and 504 the smallest integer that is 35784 that is divisible by both numbers.

Least Common Multiple (LCM) of 497 and 504 is 35784.

LCM(497,504) = 35784

LCM of 497 and 504

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

LCM of:
and

Least Common Multiple of 497 and 504

LCM of 497 and 504 is 35784

Least common multiple can be found by multiplying the highest exponent prime factors of 497 and 504. First we will calculate the prime factors of 497 and 504.

Prime Factorization of 497


7 497
71 71
1

Prime factors of 497 are 7,71. Prime factorization of 497 in exponential form is:

497 = 71×711

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 497 and 504.

LCM(497,504) = 23×32×71×711
LCM(497,504) = 35784

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1, 7, 71, 497

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 497 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 497 and 504, than apply into the LCM equation.

GCF(497,504) = 7
LCM(497,504) = ( 497 × 504) / 7
LCM(497,504) = 250488 / 7
LCM(497,504) = 35784

Properties of LCM 497 and 504

(i) The LCM of 504 and 497 is associative

LCM of 497 and 504 = LCM of 504 and 497

Related Least Common Multiples of 497

Related Least Common Multiples of 504

Frequently Asked Questions on LCM of 497 and 504

1. What is the LCM of 497 and 504?

Answer: LCM of 497 and 504 is 35784.

2. What are the Factors of 497?

Answer: Factors of 497 are 1, 7, 71, 497. There are 4 integers that are factors of 497. The greatest factor of 497 is 497.

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 497 and 504?

Answer:

Least Common Multiple of 497 and 504 = 35784

Step 1: Find the prime factorization of 497

497 = 7 x 71

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 = 35784 = 2 x 2 x 2 x 3 x 3 x 7 x 71

Step 4: Therefore, the least common multiple of 497 and 504 is 35784.