Least Common Multiple of 6560 and 6568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6560 and 6568 the smallest integer that is 5385760 that is divisible by both numbers.

Least Common Multiple (LCM) of 6560 and 6568 is 5385760.

LCM(6560,6568) = 5385760

LCM of 6560 and 6568

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

LCM of:
and

Least Common Multiple of 6560 and 6568

LCM of 6560 and 6568 is 5385760

Least common multiple can be found by multiplying the highest exponent prime factors of 6560 and 6568. First we will calculate the prime factors of 6560 and 6568.

Prime Factorization of 6560


2 6560
2 3280
2 1640
2 820
2 410
5 205
41 41
1

Prime factors of 6560 are 2, 5,41. Prime factorization of 6560 in exponential form is:

6560 = 25×51×411

Prime Factorization of 6568


2 6568
2 3284
2 1642
821 821
1

Prime factors of 6568 are 2,821. Prime factorization of 6568 in exponential form is:

6568 = 23×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 6560 and 6568.

LCM(6560,6568) = 25×51×411×8211
LCM(6560,6568) = 5385760

Factors of 6560

List of positive integer factors of 6560 that divides 6560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280, 6560

Factors of 6568

List of positive integer factors of 6568 that divides 6568 without a remainder.

1, 2, 4, 8, 821, 1642, 3284, 6568

Least Common Multiple of 6560 and 6568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6560 and 6568, than apply into the LCM equation.

GCF(6560,6568) = 8
LCM(6560,6568) = ( 6560 × 6568) / 8
LCM(6560,6568) = 43086080 / 8
LCM(6560,6568) = 5385760

Properties of LCM 6560 and 6568

(i) The LCM of 6568 and 6560 is associative

LCM of 6560 and 6568 = LCM of 6568 and 6560

Related Least Common Multiples of 6560

Related Least Common Multiples of 6568

Frequently Asked Questions on LCM of 6560 and 6568

1. What is the LCM of 6560 and 6568?

Answer: LCM of 6560 and 6568 is 5385760.

2. What are the Factors of 6560?

Answer: Factors of 6560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280, 6560. There are 24 integers that are factors of 6560. The greatest factor of 6560 is 6560.

3. What are the Factors of 6568?

Answer: Factors of 6568 are 1, 2, 4, 8, 821, 1642, 3284, 6568. There are 8 integers that are factors of 6568. The greatest factor of 6568 is 6568.

4. How to Find the LCM of 6560 and 6568?

Answer:

Least Common Multiple of 6560 and 6568 = 5385760

Step 1: Find the prime factorization of 6560

6560 = 2 x 2 x 2 x 2 x 2 x 5 x 41

Step 2: Find the prime factorization of 6568

6568 = 2 x 2 x 2 x 821

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

LCM = 5385760 = 2 x 2 x 2 x 2 x 2 x 5 x 41 x 821

Step 4: Therefore, the least common multiple of 6560 and 6568 is 5385760.