Least Common Multiple of 6563 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 6563 and 6571 the smallest integer that is 43125473 that is divisible by both numbers.

Least Common Multiple (LCM) of 6563 and 6571 is 43125473.

LCM(6563,6571) = 43125473

LCM of 6563 and 6571

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

LCM of:
and

Least Common Multiple of 6563 and 6571

LCM of 6563 and 6571 is 43125473

Least common multiple can be found by multiplying the highest exponent prime factors of 6563 and 6571. First we will calculate the prime factors of 6563 and 6571.

Prime Factorization of 6563


6563 6563
1

Prime factors of 6563 are 6563. Prime factorization of 6563 in exponential form is:

6563 = 65631

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 6563 and 6571.

LCM(6563,6571) = 65631×65711
LCM(6563,6571) = 43125473

Factors of 6563

List of positive integer factors of 6563 that divides 6563 without a remainder.

1, 6563

Factors of 6571

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

1, 6571

Least Common Multiple of 6563 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 6563 and 6571, than apply into the LCM equation.

GCF(6563,6571) = 1
LCM(6563,6571) = ( 6563 × 6571) / 1
LCM(6563,6571) = 43125473 / 1
LCM(6563,6571) = 43125473

Properties of LCM 6563 and 6571

(i) The LCM of 6571 and 6563 is associative

LCM of 6563 and 6571 = LCM of 6571 and 6563

Related Least Common Multiples of 6563

Related Least Common Multiples of 6571

Frequently Asked Questions on LCM of 6563 and 6571

1. What is the LCM of 6563 and 6571?

Answer: LCM of 6563 and 6571 is 43125473.

2. What are the Factors of 6563?

Answer: Factors of 6563 are 1, 6563. There are 2 integers that are factors of 6563. The greatest factor of 6563 is 6563.

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 6563 and 6571?

Answer:

Least Common Multiple of 6563 and 6571 = 43125473

Step 1: Find the prime factorization of 6563

6563 = 6563

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 = 43125473 = 6563 x 6571

Step 4: Therefore, the least common multiple of 6563 and 6571 is 43125473.