Least Common Multiple of 6564 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 6564 and 6566 the smallest integer that is 21549612 that is divisible by both numbers.

Least Common Multiple (LCM) of 6564 and 6566 is 21549612.

LCM(6564,6566) = 21549612

LCM of 6564 and 6566

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

LCM of:
and

Least Common Multiple of 6564 and 6566

LCM of 6564 and 6566 is 21549612

Least common multiple can be found by multiplying the highest exponent prime factors of 6564 and 6566. First we will calculate the prime factors of 6564 and 6566.

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 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 6564 and 6566.

LCM(6564,6566) = 22×31×72×671×5471
LCM(6564,6566) = 21549612

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 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 6564 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 6564 and 6566, than apply into the LCM equation.

GCF(6564,6566) = 2
LCM(6564,6566) = ( 6564 × 6566) / 2
LCM(6564,6566) = 43099224 / 2
LCM(6564,6566) = 21549612

Properties of LCM 6564 and 6566

(i) The LCM of 6566 and 6564 is associative

LCM of 6564 and 6566 = LCM of 6566 and 6564

Related Least Common Multiples of 6564

Related Least Common Multiples of 6566

Frequently Asked Questions on LCM of 6564 and 6566

1. What is the LCM of 6564 and 6566?

Answer: LCM of 6564 and 6566 is 21549612.

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 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 6564 and 6566?

Answer:

Least Common Multiple of 6564 and 6566 = 21549612

Step 1: Find the prime factorization of 6564

6564 = 2 x 2 x 3 x 547

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 = 21549612 = 2 x 2 x 3 x 7 x 7 x 67 x 547

Step 4: Therefore, the least common multiple of 6564 and 6566 is 21549612.