Least Common Multiple of 501 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 501 and 504 the smallest integer that is 84168 that is divisible by both numbers.

Least Common Multiple (LCM) of 501 and 504 is 84168.

LCM(501,504) = 84168

LCM of 501 and 504

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

LCM of:
and

Least Common Multiple of 501 and 504

LCM of 501 and 504 is 84168

Least common multiple can be found by multiplying the highest exponent prime factors of 501 and 504. First we will calculate the prime factors of 501 and 504.

Prime Factorization of 501


3 501
167 167
1

Prime factors of 501 are 3,167. Prime factorization of 501 in exponential form is:

501 = 31×1671

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 501 and 504.

LCM(501,504) = 23×32×71×1671
LCM(501,504) = 84168

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1, 3, 167, 501

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 501 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 501 and 504, than apply into the LCM equation.

GCF(501,504) = 3
LCM(501,504) = ( 501 × 504) / 3
LCM(501,504) = 252504 / 3
LCM(501,504) = 84168

Properties of LCM 501 and 504

(i) The LCM of 504 and 501 is associative

LCM of 501 and 504 = LCM of 504 and 501

Related Least Common Multiples of 501

Related Least Common Multiples of 504

Frequently Asked Questions on LCM of 501 and 504

1. What is the LCM of 501 and 504?

Answer: LCM of 501 and 504 is 84168.

2. What are the Factors of 501?

Answer: Factors of 501 are 1, 3, 167, 501. There are 4 integers that are factors of 501. The greatest factor of 501 is 501.

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 501 and 504?

Answer:

Least Common Multiple of 501 and 504 = 84168

Step 1: Find the prime factorization of 501

501 = 3 x 167

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 = 84168 = 2 x 2 x 2 x 3 x 3 x 7 x 167

Step 4: Therefore, the least common multiple of 501 and 504 is 84168.