Least Common Multiple of 6564 and 6565

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 6565 the smallest integer that is 43092660 that is divisible by both numbers.

Least Common Multiple (LCM) of 6564 and 6565 is 43092660.

LCM(6564,6565) = 43092660

LCM of 6564 and 6565

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

LCM of:
and

Least Common Multiple of 6564 and 6565

LCM of 6564 and 6565 is 43092660

Least common multiple can be found by multiplying the highest exponent prime factors of 6564 and 6565. First we will calculate the prime factors of 6564 and 6565.

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 6565


5 6565
13 1313
101 101
1

Prime factors of 6565 are 5, 13,101. Prime factorization of 6565 in exponential form is:

6565 = 51×131×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6564 and 6565.

LCM(6564,6565) = 22×31×51×131×1011×5471
LCM(6564,6565) = 43092660

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 6565

List of positive integer factors of 6565 that divides 6565 without a remainder.

1, 5, 13, 65, 101, 505, 1313, 6565

Least Common Multiple of 6564 and 6565 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 6565, than apply into the LCM equation.

GCF(6564,6565) = 1
LCM(6564,6565) = ( 6564 × 6565) / 1
LCM(6564,6565) = 43092660 / 1
LCM(6564,6565) = 43092660

Properties of LCM 6564 and 6565

(i) The LCM of 6565 and 6564 is associative

LCM of 6564 and 6565 = LCM of 6565 and 6564

Related Least Common Multiples of 6564

Related Least Common Multiples of 6565

Frequently Asked Questions on LCM of 6564 and 6565

1. What is the LCM of 6564 and 6565?

Answer: LCM of 6564 and 6565 is 43092660.

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 6565?

Answer: Factors of 6565 are 1, 5, 13, 65, 101, 505, 1313, 6565. There are 8 integers that are factors of 6565. The greatest factor of 6565 is 6565.

4. How to Find the LCM of 6564 and 6565?

Answer:

Least Common Multiple of 6564 and 6565 = 43092660

Step 1: Find the prime factorization of 6564

6564 = 2 x 2 x 3 x 547

Step 2: Find the prime factorization of 6565

6565 = 5 x 13 x 101

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

LCM = 43092660 = 2 x 2 x 3 x 5 x 13 x 101 x 547

Step 4: Therefore, the least common multiple of 6564 and 6565 is 43092660.