Least Common Multiple of 8589 and 8595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8589 and 8595 the smallest integer that is 24607485 that is divisible by both numbers.

Least Common Multiple (LCM) of 8589 and 8595 is 24607485.

LCM(8589,8595) = 24607485

LCM of 8589 and 8595

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

LCM of:
and

Least Common Multiple of 8589 and 8595

LCM of 8589 and 8595 is 24607485

Least common multiple can be found by multiplying the highest exponent prime factors of 8589 and 8595. First we will calculate the prime factors of 8589 and 8595.

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

Prime Factorization of 8595


3 8595
3 2865
5 955
191 191
1

Prime factors of 8595 are 3, 5,191. Prime factorization of 8595 in exponential form is:

8595 = 32×51×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 8589 and 8595.

LCM(8589,8595) = 32×51×71×1911×4091
LCM(8589,8595) = 24607485

Factors of 8589

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

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

Factors of 8595

List of positive integer factors of 8595 that divides 8595 without a remainder.

1, 3, 5, 9, 15, 45, 191, 573, 955, 1719, 2865, 8595

Least Common Multiple of 8589 and 8595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8589 and 8595, than apply into the LCM equation.

GCF(8589,8595) = 3
LCM(8589,8595) = ( 8589 × 8595) / 3
LCM(8589,8595) = 73822455 / 3
LCM(8589,8595) = 24607485

Properties of LCM 8589 and 8595

(i) The LCM of 8595 and 8589 is associative

LCM of 8589 and 8595 = LCM of 8595 and 8589

Related Least Common Multiples of 8589

Related Least Common Multiples of 8595

Frequently Asked Questions on LCM of 8589 and 8595

1. What is the LCM of 8589 and 8595?

Answer: LCM of 8589 and 8595 is 24607485.

2. 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.

3. What are the Factors of 8595?

Answer: Factors of 8595 are 1, 3, 5, 9, 15, 45, 191, 573, 955, 1719, 2865, 8595. There are 12 integers that are factors of 8595. The greatest factor of 8595 is 8595.

4. How to Find the LCM of 8589 and 8595?

Answer:

Least Common Multiple of 8589 and 8595 = 24607485

Step 1: Find the prime factorization of 8589

8589 = 3 x 7 x 409

Step 2: Find the prime factorization of 8595

8595 = 3 x 3 x 5 x 191

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

LCM = 24607485 = 3 x 3 x 5 x 7 x 191 x 409

Step 4: Therefore, the least common multiple of 8589 and 8595 is 24607485.