Least Common Multiple of 497 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 497 and 498 the smallest integer that is 247506 that is divisible by both numbers.

Least Common Multiple (LCM) of 497 and 498 is 247506.

LCM(497,498) = 247506

LCM of 497 and 498

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

LCM of:
and

Least Common Multiple of 497 and 498

LCM of 497 and 498 is 247506

Least common multiple can be found by multiplying the highest exponent prime factors of 497 and 498. First we will calculate the prime factors of 497 and 498.

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

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 497 and 498.

LCM(497,498) = 21×31×71×711×831
LCM(497,498) = 247506

Factors of 497

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

1, 7, 71, 497

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 497 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 497 and 498, than apply into the LCM equation.

GCF(497,498) = 1
LCM(497,498) = ( 497 × 498) / 1
LCM(497,498) = 247506 / 1
LCM(497,498) = 247506

Properties of LCM 497 and 498

(i) The LCM of 498 and 497 is associative

LCM of 497 and 498 = LCM of 498 and 497

Related Least Common Multiples of 497

Related Least Common Multiples of 498

Frequently Asked Questions on LCM of 497 and 498

1. What is the LCM of 497 and 498?

Answer: LCM of 497 and 498 is 247506.

2. 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.

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 497 and 498?

Answer:

Least Common Multiple of 497 and 498 = 247506

Step 1: Find the prime factorization of 497

497 = 7 x 71

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 = 247506 = 2 x 3 x 7 x 71 x 83

Step 4: Therefore, the least common multiple of 497 and 498 is 247506.