Least Common Multiple of 8587 and 8593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8587 and 8593 the smallest integer that is 73788091 that is divisible by both numbers.

Least Common Multiple (LCM) of 8587 and 8593 is 73788091.

LCM(8587,8593) = 73788091

LCM of 8587 and 8593

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

LCM of:
and

Least Common Multiple of 8587 and 8593

LCM of 8587 and 8593 is 73788091

Least common multiple can be found by multiplying the highest exponent prime factors of 8587 and 8593. First we will calculate the prime factors of 8587 and 8593.

Prime Factorization of 8587


31 8587
277 277
1

Prime factors of 8587 are 31,277. Prime factorization of 8587 in exponential form is:

8587 = 311×2771

Prime Factorization of 8593


13 8593
661 661
1

Prime factors of 8593 are 13,661. Prime factorization of 8593 in exponential form is:

8593 = 131×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 8587 and 8593.

LCM(8587,8593) = 131×311×2771×6611
LCM(8587,8593) = 73788091

Factors of 8587

List of positive integer factors of 8587 that divides 8587 without a remainder.

1, 31, 277, 8587

Factors of 8593

List of positive integer factors of 8593 that divides 8593 without a remainder.

1, 13, 661, 8593

Least Common Multiple of 8587 and 8593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8587 and 8593, than apply into the LCM equation.

GCF(8587,8593) = 1
LCM(8587,8593) = ( 8587 × 8593) / 1
LCM(8587,8593) = 73788091 / 1
LCM(8587,8593) = 73788091

Properties of LCM 8587 and 8593

(i) The LCM of 8593 and 8587 is associative

LCM of 8587 and 8593 = LCM of 8593 and 8587

Related Least Common Multiples of 8587

Related Least Common Multiples of 8593

Frequently Asked Questions on LCM of 8587 and 8593

1. What is the LCM of 8587 and 8593?

Answer: LCM of 8587 and 8593 is 73788091.

2. What are the Factors of 8587?

Answer: Factors of 8587 are 1, 31, 277, 8587. There are 4 integers that are factors of 8587. The greatest factor of 8587 is 8587.

3. What are the Factors of 8593?

Answer: Factors of 8593 are 1, 13, 661, 8593. There are 4 integers that are factors of 8593. The greatest factor of 8593 is 8593.

4. How to Find the LCM of 8587 and 8593?

Answer:

Least Common Multiple of 8587 and 8593 = 73788091

Step 1: Find the prime factorization of 8587

8587 = 31 x 277

Step 2: Find the prime factorization of 8593

8593 = 13 x 661

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

LCM = 73788091 = 13 x 31 x 277 x 661

Step 4: Therefore, the least common multiple of 8587 and 8593 is 73788091.