Least Common Multiple of 6560 and 6566

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 6566 the smallest integer that is 21536480 that is divisible by both numbers.

Least Common Multiple (LCM) of 6560 and 6566 is 21536480.

LCM(6560,6566) = 21536480

LCM of 6560 and 6566

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

LCM of:
and

Least Common Multiple of 6560 and 6566

LCM of 6560 and 6566 is 21536480

Least common multiple can be found by multiplying the highest exponent prime factors of 6560 and 6566. First we will calculate the prime factors of 6560 and 6566.

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 6566


2 6566
7 3283
7 469
67 67
1

Prime factors of 6566 are 2, 7,67. Prime factorization of 6566 in exponential form is:

6566 = 21×72×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6560 and 6566.

LCM(6560,6566) = 25×51×72×411×671
LCM(6560,6566) = 21536480

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 6566

List of positive integer factors of 6566 that divides 6566 without a remainder.

1, 2, 7, 14, 49, 67, 98, 134, 469, 938, 3283, 6566

Least Common Multiple of 6560 and 6566 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 6566, than apply into the LCM equation.

GCF(6560,6566) = 2
LCM(6560,6566) = ( 6560 × 6566) / 2
LCM(6560,6566) = 43072960 / 2
LCM(6560,6566) = 21536480

Properties of LCM 6560 and 6566

(i) The LCM of 6566 and 6560 is associative

LCM of 6560 and 6566 = LCM of 6566 and 6560

Related Least Common Multiples of 6560

Related Least Common Multiples of 6566

Frequently Asked Questions on LCM of 6560 and 6566

1. What is the LCM of 6560 and 6566?

Answer: LCM of 6560 and 6566 is 21536480.

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 6566?

Answer: Factors of 6566 are 1, 2, 7, 14, 49, 67, 98, 134, 469, 938, 3283, 6566. There are 12 integers that are factors of 6566. The greatest factor of 6566 is 6566.

4. How to Find the LCM of 6560 and 6566?

Answer:

Least Common Multiple of 6560 and 6566 = 21536480

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 6566

6566 = 2 x 7 x 7 x 67

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

LCM = 21536480 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 41 x 67

Step 4: Therefore, the least common multiple of 6560 and 6566 is 21536480.