Least Common Multiple of 495 and 497

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 497 the smallest integer that is 246015 that is divisible by both numbers.

Least Common Multiple (LCM) of 495 and 497 is 246015.

LCM(495,497) = 246015

LCM of 495 and 497

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

LCM of:
and

Least Common Multiple of 495 and 497

LCM of 495 and 497 is 246015

Least common multiple can be found by multiplying the highest exponent prime factors of 495 and 497. First we will calculate the prime factors of 495 and 497.

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 497


7 497
71 71
1

Prime factors of 497 are 7,71. Prime factorization of 497 in exponential form is:

497 = 71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 495 and 497.

LCM(495,497) = 32×51×71×111×711
LCM(495,497) = 246015

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 497

List of positive integer factors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Least Common Multiple of 495 and 497 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 497, than apply into the LCM equation.

GCF(495,497) = 1
LCM(495,497) = ( 495 × 497) / 1
LCM(495,497) = 246015 / 1
LCM(495,497) = 246015

Properties of LCM 495 and 497

(i) The LCM of 497 and 495 is associative

LCM of 495 and 497 = LCM of 497 and 495

Related Least Common Multiples of 495

Related Least Common Multiples of 497

Frequently Asked Questions on LCM of 495 and 497

1. What is the LCM of 495 and 497?

Answer: LCM of 495 and 497 is 246015.

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 497?

Answer: Factors of 497 are 1, 7, 71, 497. There are 4 integers that are factors of 497. The greatest factor of 497 is 497.

4. How to Find the LCM of 495 and 497?

Answer:

Least Common Multiple of 495 and 497 = 246015

Step 1: Find the prime factorization of 495

495 = 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 497

497 = 7 x 71

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

LCM = 246015 = 3 x 3 x 5 x 7 x 11 x 71

Step 4: Therefore, the least common multiple of 495 and 497 is 246015.