Least Common Multiple of 6582 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 6582 and 6588 the smallest integer that is 7227036 that is divisible by both numbers.

Least Common Multiple (LCM) of 6582 and 6588 is 7227036.

LCM(6582,6588) = 7227036

LCM of 6582 and 6588

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

LCM of:
and

Least Common Multiple of 6582 and 6588

LCM of 6582 and 6588 is 7227036

Least common multiple can be found by multiplying the highest exponent prime factors of 6582 and 6588. First we will calculate the prime factors of 6582 and 6588.

Prime Factorization of 6582


2 6582
3 3291
1097 1097
1

Prime factors of 6582 are 2, 3,1097. Prime factorization of 6582 in exponential form is:

6582 = 21×31×10971

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 6582 and 6588.

LCM(6582,6588) = 22×33×611×10971
LCM(6582,6588) = 7227036

Factors of 6582

List of positive integer factors of 6582 that divides 6582 without a remainder.

1, 2, 3, 6, 1097, 2194, 3291, 6582

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 6582 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 6582 and 6588, than apply into the LCM equation.

GCF(6582,6588) = 6
LCM(6582,6588) = ( 6582 × 6588) / 6
LCM(6582,6588) = 43362216 / 6
LCM(6582,6588) = 7227036

Properties of LCM 6582 and 6588

(i) The LCM of 6588 and 6582 is associative

LCM of 6582 and 6588 = LCM of 6588 and 6582

Related Least Common Multiples of 6582

Related Least Common Multiples of 6588

Frequently Asked Questions on LCM of 6582 and 6588

1. What is the LCM of 6582 and 6588?

Answer: LCM of 6582 and 6588 is 7227036.

2. What are the Factors of 6582?

Answer: Factors of 6582 are 1, 2, 3, 6, 1097, 2194, 3291, 6582. There are 8 integers that are factors of 6582. The greatest factor of 6582 is 6582.

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 6582 and 6588?

Answer:

Least Common Multiple of 6582 and 6588 = 7227036

Step 1: Find the prime factorization of 6582

6582 = 2 x 3 x 1097

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 = 7227036 = 2 x 2 x 3 x 3 x 3 x 61 x 1097

Step 4: Therefore, the least common multiple of 6582 and 6588 is 7227036.