Least Common Multiple of 6564 and 6571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6564 and 6571 the smallest integer that is 43132044 that is divisible by both numbers.

Least Common Multiple (LCM) of 6564 and 6571 is 43132044.

LCM(6564,6571) = 43132044

LCM of 6564 and 6571

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

LCM of:
and

Least Common Multiple of 6564 and 6571

LCM of 6564 and 6571 is 43132044

Least common multiple can be found by multiplying the highest exponent prime factors of 6564 and 6571. First we will calculate the prime factors of 6564 and 6571.

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

Prime Factorization of 6571


6571 6571
1

Prime factors of 6571 are 6571. Prime factorization of 6571 in exponential form is:

6571 = 65711

Now multiplying the highest exponent prime factors to calculate the LCM of 6564 and 6571.

LCM(6564,6571) = 22×31×5471×65711
LCM(6564,6571) = 43132044

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

Factors of 6571

List of positive integer factors of 6571 that divides 6571 without a remainder.

1, 6571

Least Common Multiple of 6564 and 6571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6564 and 6571, than apply into the LCM equation.

GCF(6564,6571) = 1
LCM(6564,6571) = ( 6564 × 6571) / 1
LCM(6564,6571) = 43132044 / 1
LCM(6564,6571) = 43132044

Properties of LCM 6564 and 6571

(i) The LCM of 6571 and 6564 is associative

LCM of 6564 and 6571 = LCM of 6571 and 6564

Related Least Common Multiples of 6564

Related Least Common Multiples of 6571

Frequently Asked Questions on LCM of 6564 and 6571

1. What is the LCM of 6564 and 6571?

Answer: LCM of 6564 and 6571 is 43132044.

2. 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.

3. What are the Factors of 6571?

Answer: Factors of 6571 are 1, 6571. There are 2 integers that are factors of 6571. The greatest factor of 6571 is 6571.

4. How to Find the LCM of 6564 and 6571?

Answer:

Least Common Multiple of 6564 and 6571 = 43132044

Step 1: Find the prime factorization of 6564

6564 = 2 x 2 x 3 x 547

Step 2: Find the prime factorization of 6571

6571 = 6571

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

LCM = 43132044 = 2 x 2 x 3 x 547 x 6571

Step 4: Therefore, the least common multiple of 6564 and 6571 is 43132044.