Least Common Multiple of 495 and 499

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 499 the smallest integer that is 247005 that is divisible by both numbers.

Least Common Multiple (LCM) of 495 and 499 is 247005.

LCM(495,499) = 247005

LCM of 495 and 499

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

LCM of:
and

Least Common Multiple of 495 and 499

LCM of 495 and 499 is 247005

Least common multiple can be found by multiplying the highest exponent prime factors of 495 and 499. First we will calculate the prime factors of 495 and 499.

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 499


499 499
1

Prime factors of 499 are 499. Prime factorization of 499 in exponential form is:

499 = 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 495 and 499.

LCM(495,499) = 32×51×111×4991
LCM(495,499) = 247005

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 499

List of positive integer factors of 499 that divides 499 without a remainder.

1, 499

Least Common Multiple of 495 and 499 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 499, than apply into the LCM equation.

GCF(495,499) = 1
LCM(495,499) = ( 495 × 499) / 1
LCM(495,499) = 247005 / 1
LCM(495,499) = 247005

Properties of LCM 495 and 499

(i) The LCM of 499 and 495 is associative

LCM of 495 and 499 = LCM of 499 and 495

Related Least Common Multiples of 495

Related Least Common Multiples of 499

Frequently Asked Questions on LCM of 495 and 499

1. What is the LCM of 495 and 499?

Answer: LCM of 495 and 499 is 247005.

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 499?

Answer: Factors of 499 are 1, 499. There are 2 integers that are factors of 499. The greatest factor of 499 is 499.

4. How to Find the LCM of 495 and 499?

Answer:

Least Common Multiple of 495 and 499 = 247005

Step 1: Find the prime factorization of 495

495 = 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 499

499 = 499

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

LCM = 247005 = 3 x 3 x 5 x 11 x 499

Step 4: Therefore, the least common multiple of 495 and 499 is 247005.