Least Common Multiple of 8585 and 8589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8585 and 8589 the smallest integer that is 73736565 that is divisible by both numbers.

Least Common Multiple (LCM) of 8585 and 8589 is 73736565.

LCM(8585,8589) = 73736565

LCM of 8585 and 8589

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

LCM of:
and

Least Common Multiple of 8585 and 8589

LCM of 8585 and 8589 is 73736565

Least common multiple can be found by multiplying the highest exponent prime factors of 8585 and 8589. First we will calculate the prime factors of 8585 and 8589.

Prime Factorization of 8585


5 8585
17 1717
101 101
1

Prime factors of 8585 are 5, 17,101. Prime factorization of 8585 in exponential form is:

8585 = 51×171×1011

Prime Factorization of 8589


3 8589
7 2863
409 409
1

Prime factors of 8589 are 3, 7,409. Prime factorization of 8589 in exponential form is:

8589 = 31×71×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 8585 and 8589.

LCM(8585,8589) = 31×51×71×171×1011×4091
LCM(8585,8589) = 73736565

Factors of 8585

List of positive integer factors of 8585 that divides 8585 without a remainder.

1, 5, 17, 85, 101, 505, 1717, 8585

Factors of 8589

List of positive integer factors of 8589 that divides 8589 without a remainder.

1, 3, 7, 21, 409, 1227, 2863, 8589

Least Common Multiple of 8585 and 8589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8585 and 8589, than apply into the LCM equation.

GCF(8585,8589) = 1
LCM(8585,8589) = ( 8585 × 8589) / 1
LCM(8585,8589) = 73736565 / 1
LCM(8585,8589) = 73736565

Properties of LCM 8585 and 8589

(i) The LCM of 8589 and 8585 is associative

LCM of 8585 and 8589 = LCM of 8589 and 8585

Related Least Common Multiples of 8585

Related Least Common Multiples of 8589

Frequently Asked Questions on LCM of 8585 and 8589

1. What is the LCM of 8585 and 8589?

Answer: LCM of 8585 and 8589 is 73736565.

2. What are the Factors of 8585?

Answer: Factors of 8585 are 1, 5, 17, 85, 101, 505, 1717, 8585. There are 8 integers that are factors of 8585. The greatest factor of 8585 is 8585.

3. What are the Factors of 8589?

Answer: Factors of 8589 are 1, 3, 7, 21, 409, 1227, 2863, 8589. There are 8 integers that are factors of 8589. The greatest factor of 8589 is 8589.

4. How to Find the LCM of 8585 and 8589?

Answer:

Least Common Multiple of 8585 and 8589 = 73736565

Step 1: Find the prime factorization of 8585

8585 = 5 x 17 x 101

Step 2: Find the prime factorization of 8589

8589 = 3 x 7 x 409

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

LCM = 73736565 = 3 x 5 x 7 x 17 x 101 x 409

Step 4: Therefore, the least common multiple of 8585 and 8589 is 73736565.