Least Common Multiple of 8582 and 8588

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 8588 the smallest integer that is 36851108 that is divisible by both numbers.

Least Common Multiple (LCM) of 8582 and 8588 is 36851108.

LCM(8582,8588) = 36851108

LCM of 8582 and 8588

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

LCM of:
and

Least Common Multiple of 8582 and 8588

LCM of 8582 and 8588 is 36851108

Least common multiple can be found by multiplying the highest exponent prime factors of 8582 and 8588. First we will calculate the prime factors of 8582 and 8588.

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 8588


2 8588
2 4294
19 2147
113 113
1

Prime factors of 8588 are 2, 19,113. Prime factorization of 8588 in exponential form is:

8588 = 22×191×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 8582 and 8588.

LCM(8582,8588) = 22×71×191×1131×6131
LCM(8582,8588) = 36851108

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 8588

List of positive integer factors of 8588 that divides 8588 without a remainder.

1, 2, 4, 19, 38, 76, 113, 226, 452, 2147, 4294, 8588

Least Common Multiple of 8582 and 8588 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 8588, than apply into the LCM equation.

GCF(8582,8588) = 2
LCM(8582,8588) = ( 8582 × 8588) / 2
LCM(8582,8588) = 73702216 / 2
LCM(8582,8588) = 36851108

Properties of LCM 8582 and 8588

(i) The LCM of 8588 and 8582 is associative

LCM of 8582 and 8588 = LCM of 8588 and 8582

Related Least Common Multiples of 8582

Related Least Common Multiples of 8588

Frequently Asked Questions on LCM of 8582 and 8588

1. What is the LCM of 8582 and 8588?

Answer: LCM of 8582 and 8588 is 36851108.

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 8588?

Answer: Factors of 8588 are 1, 2, 4, 19, 38, 76, 113, 226, 452, 2147, 4294, 8588. There are 12 integers that are factors of 8588. The greatest factor of 8588 is 8588.

4. How to Find the LCM of 8582 and 8588?

Answer:

Least Common Multiple of 8582 and 8588 = 36851108

Step 1: Find the prime factorization of 8582

8582 = 2 x 7 x 613

Step 2: Find the prime factorization of 8588

8588 = 2 x 2 x 19 x 113

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

LCM = 36851108 = 2 x 2 x 7 x 19 x 113 x 613

Step 4: Therefore, the least common multiple of 8582 and 8588 is 36851108.