Least Common Multiple of 8584 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 8584 and 8588 the smallest integer that is 18429848 that is divisible by both numbers.

Least Common Multiple (LCM) of 8584 and 8588 is 18429848.

LCM(8584,8588) = 18429848

LCM of 8584 and 8588

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

LCM of:
and

Least Common Multiple of 8584 and 8588

LCM of 8584 and 8588 is 18429848

Least common multiple can be found by multiplying the highest exponent prime factors of 8584 and 8588. First we will calculate the prime factors of 8584 and 8588.

Prime Factorization of 8584


2 8584
2 4292
2 2146
29 1073
37 37
1

Prime factors of 8584 are 2, 29,37. Prime factorization of 8584 in exponential form is:

8584 = 23×291×371

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 8584 and 8588.

LCM(8584,8588) = 23×191×291×371×1131
LCM(8584,8588) = 18429848

Factors of 8584

List of positive integer factors of 8584 that divides 8584 without a remainder.

1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584

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 8584 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 8584 and 8588, than apply into the LCM equation.

GCF(8584,8588) = 4
LCM(8584,8588) = ( 8584 × 8588) / 4
LCM(8584,8588) = 73719392 / 4
LCM(8584,8588) = 18429848

Properties of LCM 8584 and 8588

(i) The LCM of 8588 and 8584 is associative

LCM of 8584 and 8588 = LCM of 8588 and 8584

Related Least Common Multiples of 8584

Related Least Common Multiples of 8588

Frequently Asked Questions on LCM of 8584 and 8588

1. What is the LCM of 8584 and 8588?

Answer: LCM of 8584 and 8588 is 18429848.

2. What are the Factors of 8584?

Answer: Factors of 8584 are 1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584. There are 16 integers that are factors of 8584. The greatest factor of 8584 is 8584.

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 8584 and 8588?

Answer:

Least Common Multiple of 8584 and 8588 = 18429848

Step 1: Find the prime factorization of 8584

8584 = 2 x 2 x 2 x 29 x 37

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 = 18429848 = 2 x 2 x 2 x 19 x 29 x 37 x 113

Step 4: Therefore, the least common multiple of 8584 and 8588 is 18429848.