Least Common Multiple of 8497 and 8505

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 8505 the smallest integer that is 72266985 that is divisible by both numbers.

Least Common Multiple (LCM) of 8497 and 8505 is 72266985.

LCM(8497,8505) = 72266985

LCM of 8497 and 8505

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

LCM of:
and

Least Common Multiple of 8497 and 8505

LCM of 8497 and 8505 is 72266985

Least common multiple can be found by multiplying the highest exponent prime factors of 8497 and 8505. First we will calculate the prime factors of 8497 and 8505.

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 8505


3 8505
3 2835
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 8505 are 3, 5,7. Prime factorization of 8505 in exponential form is:

8505 = 35×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 8497 and 8505.

LCM(8497,8505) = 35×51×71×291×2931
LCM(8497,8505) = 72266985

Factors of 8497

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

1, 29, 293, 8497

Factors of 8505

List of positive integer factors of 8505 that divides 8505 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505

Least Common Multiple of 8497 and 8505 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 8505, than apply into the LCM equation.

GCF(8497,8505) = 1
LCM(8497,8505) = ( 8497 × 8505) / 1
LCM(8497,8505) = 72266985 / 1
LCM(8497,8505) = 72266985

Properties of LCM 8497 and 8505

(i) The LCM of 8505 and 8497 is associative

LCM of 8497 and 8505 = LCM of 8505 and 8497

Related Least Common Multiples of 8497

Related Least Common Multiples of 8505

Frequently Asked Questions on LCM of 8497 and 8505

1. What is the LCM of 8497 and 8505?

Answer: LCM of 8497 and 8505 is 72266985.

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 8505?

Answer: Factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505. There are 24 integers that are factors of 8505. The greatest factor of 8505 is 8505.

4. How to Find the LCM of 8497 and 8505?

Answer:

Least Common Multiple of 8497 and 8505 = 72266985

Step 1: Find the prime factorization of 8497

8497 = 29 x 293

Step 2: Find the prime factorization of 8505

8505 = 3 x 3 x 3 x 3 x 3 x 5 x 7

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

LCM = 72266985 = 3 x 3 x 3 x 3 x 3 x 5 x 7 x 29 x 293

Step 4: Therefore, the least common multiple of 8497 and 8505 is 72266985.