Least Common Multiple of 495 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 495 and 503 the smallest integer that is 248985 that is divisible by both numbers.

Least Common Multiple (LCM) of 495 and 503 is 248985.

LCM(495,503) = 248985

LCM of 495 and 503

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

LCM of:
and

Least Common Multiple of 495 and 503

LCM of 495 and 503 is 248985

Least common multiple can be found by multiplying the highest exponent prime factors of 495 and 503. First we will calculate the prime factors of 495 and 503.

Prime Factorization of 495


3 495
3 165
5 55
11 11
1

Prime factors of 495 are 3, 5,11. Prime factorization of 495 in exponential form is:

495 = 32×51×111

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 495 and 503.

LCM(495,503) = 32×51×111×5031
LCM(495,503) = 248985

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Factors of 503

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

1, 503

Least Common Multiple of 495 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 495 and 503, than apply into the LCM equation.

GCF(495,503) = 1
LCM(495,503) = ( 495 × 503) / 1
LCM(495,503) = 248985 / 1
LCM(495,503) = 248985

Properties of LCM 495 and 503

(i) The LCM of 503 and 495 is associative

LCM of 495 and 503 = LCM of 503 and 495

Related Least Common Multiples of 495

Related Least Common Multiples of 503

Frequently Asked Questions on LCM of 495 and 503

1. What is the LCM of 495 and 503?

Answer: LCM of 495 and 503 is 248985.

2. What are the Factors of 495?

Answer: Factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495. There are 12 integers that are factors of 495. The greatest factor of 495 is 495.

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 495 and 503?

Answer:

Least Common Multiple of 495 and 503 = 248985

Step 1: Find the prime factorization of 495

495 = 3 x 3 x 5 x 11

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 = 248985 = 3 x 3 x 5 x 11 x 503

Step 4: Therefore, the least common multiple of 495 and 503 is 248985.