Least Common Multiple of 495 and 498

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 498 the smallest integer that is 82170 that is divisible by both numbers.

Least Common Multiple (LCM) of 495 and 498 is 82170.

LCM(495,498) = 82170

LCM of 495 and 498

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

LCM of:
and

Least Common Multiple of 495 and 498

LCM of 495 and 498 is 82170

Least common multiple can be found by multiplying the highest exponent prime factors of 495 and 498. First we will calculate the prime factors of 495 and 498.

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 498


2 498
3 249
83 83
1

Prime factors of 498 are 2, 3,83. Prime factorization of 498 in exponential form is:

498 = 21×31×831

Now multiplying the highest exponent prime factors to calculate the LCM of 495 and 498.

LCM(495,498) = 21×32×51×111×831
LCM(495,498) = 82170

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 498

List of positive integer factors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Least Common Multiple of 495 and 498 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 498, than apply into the LCM equation.

GCF(495,498) = 3
LCM(495,498) = ( 495 × 498) / 3
LCM(495,498) = 246510 / 3
LCM(495,498) = 82170

Properties of LCM 495 and 498

(i) The LCM of 498 and 495 is associative

LCM of 495 and 498 = LCM of 498 and 495

Related Least Common Multiples of 495

Related Least Common Multiples of 498

Frequently Asked Questions on LCM of 495 and 498

1. What is the LCM of 495 and 498?

Answer: LCM of 495 and 498 is 82170.

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 498?

Answer: Factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498. There are 8 integers that are factors of 498. The greatest factor of 498 is 498.

4. How to Find the LCM of 495 and 498?

Answer:

Least Common Multiple of 495 and 498 = 82170

Step 1: Find the prime factorization of 495

495 = 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 498

498 = 2 x 3 x 83

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

LCM = 82170 = 2 x 3 x 3 x 5 x 11 x 83

Step 4: Therefore, the least common multiple of 495 and 498 is 82170.