Least Common Multiple of 501 and 503

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 503 the smallest integer that is 252003 that is divisible by both numbers.

Least Common Multiple (LCM) of 501 and 503 is 252003.

LCM(501,503) = 252003

LCM of 501 and 503

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

LCM of:
and

Least Common Multiple of 501 and 503

LCM of 501 and 503 is 252003

Least common multiple can be found by multiplying the highest exponent prime factors of 501 and 503. First we will calculate the prime factors of 501 and 503.

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 503


503 503
1

Prime factors of 503 are 503. Prime factorization of 503 in exponential form is:

503 = 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 501 and 503.

LCM(501,503) = 31×1671×5031
LCM(501,503) = 252003

Factors of 501

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

1, 3, 167, 501

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1, 503

Least Common Multiple of 501 and 503 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 503, than apply into the LCM equation.

GCF(501,503) = 1
LCM(501,503) = ( 501 × 503) / 1
LCM(501,503) = 252003 / 1
LCM(501,503) = 252003

Properties of LCM 501 and 503

(i) The LCM of 503 and 501 is associative

LCM of 501 and 503 = LCM of 503 and 501

Related Least Common Multiples of 501

Related Least Common Multiples of 503

Frequently Asked Questions on LCM of 501 and 503

1. What is the LCM of 501 and 503?

Answer: LCM of 501 and 503 is 252003.

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 503?

Answer: Factors of 503 are 1, 503. There are 2 integers that are factors of 503. The greatest factor of 503 is 503.

4. How to Find the LCM of 501 and 503?

Answer:

Least Common Multiple of 501 and 503 = 252003

Step 1: Find the prime factorization of 501

501 = 3 x 167

Step 2: Find the prime factorization of 503

503 = 503

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

LCM = 252003 = 3 x 167 x 503

Step 4: Therefore, the least common multiple of 501 and 503 is 252003.