Least Common Multiple of 8589 and 8596

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 8596 the smallest integer that is 10547292 that is divisible by both numbers.

Least Common Multiple (LCM) of 8589 and 8596 is 10547292.

LCM(8589,8596) = 10547292

LCM of 8589 and 8596

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

LCM of:
and

Least Common Multiple of 8589 and 8596

LCM of 8589 and 8596 is 10547292

Least common multiple can be found by multiplying the highest exponent prime factors of 8589 and 8596. First we will calculate the prime factors of 8589 and 8596.

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 8596


2 8596
2 4298
7 2149
307 307
1

Prime factors of 8596 are 2, 7,307. Prime factorization of 8596 in exponential form is:

8596 = 22×71×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 8589 and 8596.

LCM(8589,8596) = 22×31×71×3071×4091
LCM(8589,8596) = 10547292

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 8596

List of positive integer factors of 8596 that divides 8596 without a remainder.

1, 2, 4, 7, 14, 28, 307, 614, 1228, 2149, 4298, 8596

Least Common Multiple of 8589 and 8596 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 8596, than apply into the LCM equation.

GCF(8589,8596) = 7
LCM(8589,8596) = ( 8589 × 8596) / 7
LCM(8589,8596) = 73831044 / 7
LCM(8589,8596) = 10547292

Properties of LCM 8589 and 8596

(i) The LCM of 8596 and 8589 is associative

LCM of 8589 and 8596 = LCM of 8596 and 8589

Related Least Common Multiples of 8589

Related Least Common Multiples of 8596

Frequently Asked Questions on LCM of 8589 and 8596

1. What is the LCM of 8589 and 8596?

Answer: LCM of 8589 and 8596 is 10547292.

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 8596?

Answer: Factors of 8596 are 1, 2, 4, 7, 14, 28, 307, 614, 1228, 2149, 4298, 8596. There are 12 integers that are factors of 8596. The greatest factor of 8596 is 8596.

4. How to Find the LCM of 8589 and 8596?

Answer:

Least Common Multiple of 8589 and 8596 = 10547292

Step 1: Find the prime factorization of 8589

8589 = 3 x 7 x 409

Step 2: Find the prime factorization of 8596

8596 = 2 x 2 x 7 x 307

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

LCM = 10547292 = 2 x 2 x 3 x 7 x 307 x 409

Step 4: Therefore, the least common multiple of 8589 and 8596 is 10547292.