Least Common Multiple of 6584 and 6588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6584 and 6588 the smallest integer that is 10843848 that is divisible by both numbers.

Least Common Multiple (LCM) of 6584 and 6588 is 10843848.

LCM(6584,6588) = 10843848

LCM of 6584 and 6588

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

LCM of:
and

Least Common Multiple of 6584 and 6588

LCM of 6584 and 6588 is 10843848

Least common multiple can be found by multiplying the highest exponent prime factors of 6584 and 6588. First we will calculate the prime factors of 6584 and 6588.

Prime Factorization of 6584


2 6584
2 3292
2 1646
823 823
1

Prime factors of 6584 are 2,823. Prime factorization of 6584 in exponential form is:

6584 = 23×8231

Prime Factorization of 6588


2 6588
2 3294
3 1647
3 549
3 183
61 61
1

Prime factors of 6588 are 2, 3,61. Prime factorization of 6588 in exponential form is:

6588 = 22×33×611

Now multiplying the highest exponent prime factors to calculate the LCM of 6584 and 6588.

LCM(6584,6588) = 23×33×611×8231
LCM(6584,6588) = 10843848

Factors of 6584

List of positive integer factors of 6584 that divides 6584 without a remainder.

1, 2, 4, 8, 823, 1646, 3292, 6584

Factors of 6588

List of positive integer factors of 6588 that divides 6588 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 61, 108, 122, 183, 244, 366, 549, 732, 1098, 1647, 2196, 3294, 6588

Least Common Multiple of 6584 and 6588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6584 and 6588, than apply into the LCM equation.

GCF(6584,6588) = 4
LCM(6584,6588) = ( 6584 × 6588) / 4
LCM(6584,6588) = 43375392 / 4
LCM(6584,6588) = 10843848

Properties of LCM 6584 and 6588

(i) The LCM of 6588 and 6584 is associative

LCM of 6584 and 6588 = LCM of 6588 and 6584

Related Least Common Multiples of 6584

Related Least Common Multiples of 6588

Frequently Asked Questions on LCM of 6584 and 6588

1. What is the LCM of 6584 and 6588?

Answer: LCM of 6584 and 6588 is 10843848.

2. What are the Factors of 6584?

Answer: Factors of 6584 are 1, 2, 4, 8, 823, 1646, 3292, 6584. There are 8 integers that are factors of 6584. The greatest factor of 6584 is 6584.

3. What are the Factors of 6588?

Answer: Factors of 6588 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 61, 108, 122, 183, 244, 366, 549, 732, 1098, 1647, 2196, 3294, 6588. There are 24 integers that are factors of 6588. The greatest factor of 6588 is 6588.

4. How to Find the LCM of 6584 and 6588?

Answer:

Least Common Multiple of 6584 and 6588 = 10843848

Step 1: Find the prime factorization of 6584

6584 = 2 x 2 x 2 x 823

Step 2: Find the prime factorization of 6588

6588 = 2 x 2 x 3 x 3 x 3 x 61

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

LCM = 10843848 = 2 x 2 x 2 x 3 x 3 x 3 x 61 x 823

Step 4: Therefore, the least common multiple of 6584 and 6588 is 10843848.