Least Common Multiple of 6560 and 6561

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 6561 the smallest integer that is 43040160 that is divisible by both numbers.

Least Common Multiple (LCM) of 6560 and 6561 is 43040160.

LCM(6560,6561) = 43040160

LCM of 6560 and 6561

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

LCM of:
and

Least Common Multiple of 6560 and 6561

LCM of 6560 and 6561 is 43040160

Least common multiple can be found by multiplying the highest exponent prime factors of 6560 and 6561. First we will calculate the prime factors of 6560 and 6561.

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 6561


3 6561
3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 6561 are 3. Prime factorization of 6561 in exponential form is:

6561 = 38

Now multiplying the highest exponent prime factors to calculate the LCM of 6560 and 6561.

LCM(6560,6561) = 25×38×51×411
LCM(6560,6561) = 43040160

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 6561

List of positive integer factors of 6561 that divides 6561 without a remainder.

1, 3, 9, 27, 81, 243, 729, 2187, 6561

Least Common Multiple of 6560 and 6561 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 6561, than apply into the LCM equation.

GCF(6560,6561) = 1
LCM(6560,6561) = ( 6560 × 6561) / 1
LCM(6560,6561) = 43040160 / 1
LCM(6560,6561) = 43040160

Properties of LCM 6560 and 6561

(i) The LCM of 6561 and 6560 is associative

LCM of 6560 and 6561 = LCM of 6561 and 6560

Related Least Common Multiples of 6560

Related Least Common Multiples of 6561

Frequently Asked Questions on LCM of 6560 and 6561

1. What is the LCM of 6560 and 6561?

Answer: LCM of 6560 and 6561 is 43040160.

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 6561?

Answer: Factors of 6561 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561. There are 9 integers that are factors of 6561. The greatest factor of 6561 is 6561.

4. How to Find the LCM of 6560 and 6561?

Answer:

Least Common Multiple of 6560 and 6561 = 43040160

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 6561

6561 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

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

LCM = 43040160 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 41

Step 4: Therefore, the least common multiple of 6560 and 6561 is 43040160.