Least Common Multiple of 8505 and 8509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8505 and 8509 the smallest integer that is 72369045 that is divisible by both numbers.

Least Common Multiple (LCM) of 8505 and 8509 is 72369045.

LCM(8505,8509) = 72369045

LCM of 8505 and 8509

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

LCM of:
and

Least Common Multiple of 8505 and 8509

LCM of 8505 and 8509 is 72369045

Least common multiple can be found by multiplying the highest exponent prime factors of 8505 and 8509. First we will calculate the prime factors of 8505 and 8509.

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

Prime Factorization of 8509


67 8509
127 127
1

Prime factors of 8509 are 67,127. Prime factorization of 8509 in exponential form is:

8509 = 671×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 8505 and 8509.

LCM(8505,8509) = 35×51×71×671×1271
LCM(8505,8509) = 72369045

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

Factors of 8509

List of positive integer factors of 8509 that divides 8509 without a remainder.

1, 67, 127, 8509

Least Common Multiple of 8505 and 8509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8505 and 8509, than apply into the LCM equation.

GCF(8505,8509) = 1
LCM(8505,8509) = ( 8505 × 8509) / 1
LCM(8505,8509) = 72369045 / 1
LCM(8505,8509) = 72369045

Properties of LCM 8505 and 8509

(i) The LCM of 8509 and 8505 is associative

LCM of 8505 and 8509 = LCM of 8509 and 8505

Related Least Common Multiples of 8505

Related Least Common Multiples of 8509

Frequently Asked Questions on LCM of 8505 and 8509

1. What is the LCM of 8505 and 8509?

Answer: LCM of 8505 and 8509 is 72369045.

2. 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.

3. What are the Factors of 8509?

Answer: Factors of 8509 are 1, 67, 127, 8509. There are 4 integers that are factors of 8509. The greatest factor of 8509 is 8509.

4. How to Find the LCM of 8505 and 8509?

Answer:

Least Common Multiple of 8505 and 8509 = 72369045

Step 1: Find the prime factorization of 8505

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

Step 2: Find the prime factorization of 8509

8509 = 67 x 127

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

LCM = 72369045 = 3 x 3 x 3 x 3 x 3 x 5 x 7 x 67 x 127

Step 4: Therefore, the least common multiple of 8505 and 8509 is 72369045.