Least Common Multiple of 8582 and 8587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8582 and 8587 the smallest integer that is 73693634 that is divisible by both numbers.

Least Common Multiple (LCM) of 8582 and 8587 is 73693634.

LCM(8582,8587) = 73693634

LCM of 8582 and 8587

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

LCM of:
and

Least Common Multiple of 8582 and 8587

LCM of 8582 and 8587 is 73693634

Least common multiple can be found by multiplying the highest exponent prime factors of 8582 and 8587. First we will calculate the prime factors of 8582 and 8587.

Prime Factorization of 8582


2 8582
7 4291
613 613
1

Prime factors of 8582 are 2, 7,613. Prime factorization of 8582 in exponential form is:

8582 = 21×71×6131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8582 and 8587.

LCM(8582,8587) = 21×71×311×2771×6131
LCM(8582,8587) = 73693634

Factors of 8582

List of positive integer factors of 8582 that divides 8582 without a remainder.

1, 2, 7, 14, 613, 1226, 4291, 8582

Factors of 8587

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

1, 31, 277, 8587

Least Common Multiple of 8582 and 8587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8582 and 8587, than apply into the LCM equation.

GCF(8582,8587) = 1
LCM(8582,8587) = ( 8582 × 8587) / 1
LCM(8582,8587) = 73693634 / 1
LCM(8582,8587) = 73693634

Properties of LCM 8582 and 8587

(i) The LCM of 8587 and 8582 is associative

LCM of 8582 and 8587 = LCM of 8587 and 8582

Related Least Common Multiples of 8582

Related Least Common Multiples of 8587

Frequently Asked Questions on LCM of 8582 and 8587

1. What is the LCM of 8582 and 8587?

Answer: LCM of 8582 and 8587 is 73693634.

2. What are the Factors of 8582?

Answer: Factors of 8582 are 1, 2, 7, 14, 613, 1226, 4291, 8582. There are 8 integers that are factors of 8582. The greatest factor of 8582 is 8582.

3. 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.

4. How to Find the LCM of 8582 and 8587?

Answer:

Least Common Multiple of 8582 and 8587 = 73693634

Step 1: Find the prime factorization of 8582

8582 = 2 x 7 x 613

Step 2: Find the prime factorization of 8587

8587 = 31 x 277

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

LCM = 73693634 = 2 x 7 x 31 x 277 x 613

Step 4: Therefore, the least common multiple of 8582 and 8587 is 73693634.