Least Common Multiple of 8492 and 8497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8492 and 8497 the smallest integer that is 72156524 that is divisible by both numbers.

Least Common Multiple (LCM) of 8492 and 8497 is 72156524.

LCM(8492,8497) = 72156524

LCM of 8492 and 8497

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

LCM of:
and

Least Common Multiple of 8492 and 8497

LCM of 8492 and 8497 is 72156524

Least common multiple can be found by multiplying the highest exponent prime factors of 8492 and 8497. First we will calculate the prime factors of 8492 and 8497.

Prime Factorization of 8492


2 8492
2 4246
11 2123
193 193
1

Prime factors of 8492 are 2, 11,193. Prime factorization of 8492 in exponential form is:

8492 = 22×111×1931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8492 and 8497.

LCM(8492,8497) = 22×111×291×1931×2931
LCM(8492,8497) = 72156524

Factors of 8492

List of positive integer factors of 8492 that divides 8492 without a remainder.

1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492

Factors of 8497

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

1, 29, 293, 8497

Least Common Multiple of 8492 and 8497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8492 and 8497, than apply into the LCM equation.

GCF(8492,8497) = 1
LCM(8492,8497) = ( 8492 × 8497) / 1
LCM(8492,8497) = 72156524 / 1
LCM(8492,8497) = 72156524

Properties of LCM 8492 and 8497

(i) The LCM of 8497 and 8492 is associative

LCM of 8492 and 8497 = LCM of 8497 and 8492

Related Least Common Multiples of 8492

Related Least Common Multiples of 8497

Frequently Asked Questions on LCM of 8492 and 8497

1. What is the LCM of 8492 and 8497?

Answer: LCM of 8492 and 8497 is 72156524.

2. What are the Factors of 8492?

Answer: Factors of 8492 are 1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492. There are 12 integers that are factors of 8492. The greatest factor of 8492 is 8492.

3. 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.

4. How to Find the LCM of 8492 and 8497?

Answer:

Least Common Multiple of 8492 and 8497 = 72156524

Step 1: Find the prime factorization of 8492

8492 = 2 x 2 x 11 x 193

Step 2: Find the prime factorization of 8497

8497 = 29 x 293

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

LCM = 72156524 = 2 x 2 x 11 x 29 x 193 x 293

Step 4: Therefore, the least common multiple of 8492 and 8497 is 72156524.