Least Common Multiple of 8589 and 8597

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 8597 the smallest integer that is 73839633 that is divisible by both numbers.

Least Common Multiple (LCM) of 8589 and 8597 is 73839633.

LCM(8589,8597) = 73839633

LCM of 8589 and 8597

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

LCM of:
and

Least Common Multiple of 8589 and 8597

LCM of 8589 and 8597 is 73839633

Least common multiple can be found by multiplying the highest exponent prime factors of 8589 and 8597. First we will calculate the prime factors of 8589 and 8597.

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 8597


8597 8597
1

Prime factors of 8597 are 8597. Prime factorization of 8597 in exponential form is:

8597 = 85971

Now multiplying the highest exponent prime factors to calculate the LCM of 8589 and 8597.

LCM(8589,8597) = 31×71×4091×85971
LCM(8589,8597) = 73839633

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 8597

List of positive integer factors of 8597 that divides 8597 without a remainder.

1, 8597

Least Common Multiple of 8589 and 8597 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 8597, than apply into the LCM equation.

GCF(8589,8597) = 1
LCM(8589,8597) = ( 8589 × 8597) / 1
LCM(8589,8597) = 73839633 / 1
LCM(8589,8597) = 73839633

Properties of LCM 8589 and 8597

(i) The LCM of 8597 and 8589 is associative

LCM of 8589 and 8597 = LCM of 8597 and 8589

Related Least Common Multiples of 8589

Related Least Common Multiples of 8597

Frequently Asked Questions on LCM of 8589 and 8597

1. What is the LCM of 8589 and 8597?

Answer: LCM of 8589 and 8597 is 73839633.

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 8597?

Answer: Factors of 8597 are 1, 8597. There are 2 integers that are factors of 8597. The greatest factor of 8597 is 8597.

4. How to Find the LCM of 8589 and 8597?

Answer:

Least Common Multiple of 8589 and 8597 = 73839633

Step 1: Find the prime factorization of 8589

8589 = 3 x 7 x 409

Step 2: Find the prime factorization of 8597

8597 = 8597

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

LCM = 73839633 = 3 x 7 x 409 x 8597

Step 4: Therefore, the least common multiple of 8589 and 8597 is 73839633.