Least Common Multiple of 6558 and 6564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6558 and 6564 the smallest integer that is 7174452 that is divisible by both numbers.

Least Common Multiple (LCM) of 6558 and 6564 is 7174452.

LCM(6558,6564) = 7174452

LCM of 6558 and 6564

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

LCM of:
and

Least Common Multiple of 6558 and 6564

LCM of 6558 and 6564 is 7174452

Least common multiple can be found by multiplying the highest exponent prime factors of 6558 and 6564. First we will calculate the prime factors of 6558 and 6564.

Prime Factorization of 6558


2 6558
3 3279
1093 1093
1

Prime factors of 6558 are 2, 3,1093. Prime factorization of 6558 in exponential form is:

6558 = 21×31×10931

Prime Factorization of 6564


2 6564
2 3282
3 1641
547 547
1

Prime factors of 6564 are 2, 3,547. Prime factorization of 6564 in exponential form is:

6564 = 22×31×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 6558 and 6564.

LCM(6558,6564) = 22×31×5471×10931
LCM(6558,6564) = 7174452

Factors of 6558

List of positive integer factors of 6558 that divides 6558 without a remainder.

1, 2, 3, 6, 1093, 2186, 3279, 6558

Factors of 6564

List of positive integer factors of 6564 that divides 6564 without a remainder.

1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282, 6564

Least Common Multiple of 6558 and 6564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6558 and 6564, than apply into the LCM equation.

GCF(6558,6564) = 6
LCM(6558,6564) = ( 6558 × 6564) / 6
LCM(6558,6564) = 43046712 / 6
LCM(6558,6564) = 7174452

Properties of LCM 6558 and 6564

(i) The LCM of 6564 and 6558 is associative

LCM of 6558 and 6564 = LCM of 6564 and 6558

Related Least Common Multiples of 6558

Related Least Common Multiples of 6564

Frequently Asked Questions on LCM of 6558 and 6564

1. What is the LCM of 6558 and 6564?

Answer: LCM of 6558 and 6564 is 7174452.

2. What are the Factors of 6558?

Answer: Factors of 6558 are 1, 2, 3, 6, 1093, 2186, 3279, 6558. There are 8 integers that are factors of 6558. The greatest factor of 6558 is 6558.

3. What are the Factors of 6564?

Answer: Factors of 6564 are 1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282, 6564. There are 12 integers that are factors of 6564. The greatest factor of 6564 is 6564.

4. How to Find the LCM of 6558 and 6564?

Answer:

Least Common Multiple of 6558 and 6564 = 7174452

Step 1: Find the prime factorization of 6558

6558 = 2 x 3 x 1093

Step 2: Find the prime factorization of 6564

6564 = 2 x 2 x 3 x 547

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

LCM = 7174452 = 2 x 2 x 3 x 547 x 1093

Step 4: Therefore, the least common multiple of 6558 and 6564 is 7174452.