Least Common Multiple of 8497 and 8498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8497 and 8498 the smallest integer that is 72207506 that is divisible by both numbers.

Least Common Multiple (LCM) of 8497 and 8498 is 72207506.

LCM(8497,8498) = 72207506

LCM of 8497 and 8498

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

LCM of:
and

Least Common Multiple of 8497 and 8498

LCM of 8497 and 8498 is 72207506

Least common multiple can be found by multiplying the highest exponent prime factors of 8497 and 8498. First we will calculate the prime factors of 8497 and 8498.

Prime Factorization of 8497


29 8497
293 293
1

Prime factors of 8497 are 29,293. Prime factorization of 8497 in exponential form is:

8497 = 291×2931

Prime Factorization of 8498


2 8498
7 4249
607 607
1

Prime factors of 8498 are 2, 7,607. Prime factorization of 8498 in exponential form is:

8498 = 21×71×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 8497 and 8498.

LCM(8497,8498) = 21×71×291×2931×6071
LCM(8497,8498) = 72207506

Factors of 8497

List of positive integer factors of 8497 that divides 8497 without a remainder.

1, 29, 293, 8497

Factors of 8498

List of positive integer factors of 8498 that divides 8498 without a remainder.

1, 2, 7, 14, 607, 1214, 4249, 8498

Least Common Multiple of 8497 and 8498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8497 and 8498, than apply into the LCM equation.

GCF(8497,8498) = 1
LCM(8497,8498) = ( 8497 × 8498) / 1
LCM(8497,8498) = 72207506 / 1
LCM(8497,8498) = 72207506

Properties of LCM 8497 and 8498

(i) The LCM of 8498 and 8497 is associative

LCM of 8497 and 8498 = LCM of 8498 and 8497

Related Least Common Multiples of 8497

Related Least Common Multiples of 8498

Frequently Asked Questions on LCM of 8497 and 8498

1. What is the LCM of 8497 and 8498?

Answer: LCM of 8497 and 8498 is 72207506.

2. What are the Factors of 8497?

Answer: Factors of 8497 are 1, 29, 293, 8497. There are 4 integers that are factors of 8497. The greatest factor of 8497 is 8497.

3. What are the Factors of 8498?

Answer: Factors of 8498 are 1, 2, 7, 14, 607, 1214, 4249, 8498. There are 8 integers that are factors of 8498. The greatest factor of 8498 is 8498.

4. How to Find the LCM of 8497 and 8498?

Answer:

Least Common Multiple of 8497 and 8498 = 72207506

Step 1: Find the prime factorization of 8497

8497 = 29 x 293

Step 2: Find the prime factorization of 8498

8498 = 2 x 7 x 607

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

LCM = 72207506 = 2 x 7 x 29 x 293 x 607

Step 4: Therefore, the least common multiple of 8497 and 8498 is 72207506.