Least Common Multiple of 8583 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 8583 and 8589 the smallest integer that is 24573129 that is divisible by both numbers.

Least Common Multiple (LCM) of 8583 and 8589 is 24573129.

LCM(8583,8589) = 24573129

LCM of 8583 and 8589

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

LCM of:
and

Least Common Multiple of 8583 and 8589

LCM of 8583 and 8589 is 24573129

Least common multiple can be found by multiplying the highest exponent prime factors of 8583 and 8589. First we will calculate the prime factors of 8583 and 8589.

Prime Factorization of 8583


3 8583
2861 2861
1

Prime factors of 8583 are 3,2861. Prime factorization of 8583 in exponential form is:

8583 = 31×28611

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 8583 and 8589.

LCM(8583,8589) = 31×71×4091×28611
LCM(8583,8589) = 24573129

Factors of 8583

List of positive integer factors of 8583 that divides 8583 without a remainder.

1, 3, 2861, 8583

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 8583 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 8583 and 8589, than apply into the LCM equation.

GCF(8583,8589) = 3
LCM(8583,8589) = ( 8583 × 8589) / 3
LCM(8583,8589) = 73719387 / 3
LCM(8583,8589) = 24573129

Properties of LCM 8583 and 8589

(i) The LCM of 8589 and 8583 is associative

LCM of 8583 and 8589 = LCM of 8589 and 8583

Related Least Common Multiples of 8583

Related Least Common Multiples of 8589

Frequently Asked Questions on LCM of 8583 and 8589

1. What is the LCM of 8583 and 8589?

Answer: LCM of 8583 and 8589 is 24573129.

2. What are the Factors of 8583?

Answer: Factors of 8583 are 1, 3, 2861, 8583. There are 4 integers that are factors of 8583. The greatest factor of 8583 is 8583.

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 8583 and 8589?

Answer:

Least Common Multiple of 8583 and 8589 = 24573129

Step 1: Find the prime factorization of 8583

8583 = 3 x 2861

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 = 24573129 = 3 x 7 x 409 x 2861

Step 4: Therefore, the least common multiple of 8583 and 8589 is 24573129.