Least Common Multiple of 495 and 500

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 500 the smallest integer that is 49500 that is divisible by both numbers.

Least Common Multiple (LCM) of 495 and 500 is 49500.

LCM(495,500) = 49500

LCM of 495 and 500

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

LCM of:
and

Least Common Multiple of 495 and 500

LCM of 495 and 500 is 49500

Least common multiple can be found by multiplying the highest exponent prime factors of 495 and 500. First we will calculate the prime factors of 495 and 500.

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 500


2 500
2 250
5 125
5 25
5 5
1

Prime factors of 500 are 2,5. Prime factorization of 500 in exponential form is:

500 = 22×53

Now multiplying the highest exponent prime factors to calculate the LCM of 495 and 500.

LCM(495,500) = 22×32×53×111
LCM(495,500) = 49500

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 500

List of positive integer factors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Least Common Multiple of 495 and 500 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 500, than apply into the LCM equation.

GCF(495,500) = 5
LCM(495,500) = ( 495 × 500) / 5
LCM(495,500) = 247500 / 5
LCM(495,500) = 49500

Properties of LCM 495 and 500

(i) The LCM of 500 and 495 is associative

LCM of 495 and 500 = LCM of 500 and 495

Related Least Common Multiples of 495

Related Least Common Multiples of 500

Frequently Asked Questions on LCM of 495 and 500

1. What is the LCM of 495 and 500?

Answer: LCM of 495 and 500 is 49500.

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 500?

Answer: Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500. There are 12 integers that are factors of 500. The greatest factor of 500 is 500.

4. How to Find the LCM of 495 and 500?

Answer:

Least Common Multiple of 495 and 500 = 49500

Step 1: Find the prime factorization of 495

495 = 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 500

500 = 2 x 2 x 5 x 5 x 5

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

LCM = 49500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 11

Step 4: Therefore, the least common multiple of 495 and 500 is 49500.