Least Common Multiple of 6562 and 6569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6562 and 6569 the smallest integer that is 43105778 that is divisible by both numbers.

Least Common Multiple (LCM) of 6562 and 6569 is 43105778.

LCM(6562,6569) = 43105778

LCM of 6562 and 6569

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

LCM of:
and

Least Common Multiple of 6562 and 6569

LCM of 6562 and 6569 is 43105778

Least common multiple can be found by multiplying the highest exponent prime factors of 6562 and 6569. First we will calculate the prime factors of 6562 and 6569.

Prime Factorization of 6562


2 6562
17 3281
193 193
1

Prime factors of 6562 are 2, 17,193. Prime factorization of 6562 in exponential form is:

6562 = 21×171×1931

Prime Factorization of 6569


6569 6569
1

Prime factors of 6569 are 6569. Prime factorization of 6569 in exponential form is:

6569 = 65691

Now multiplying the highest exponent prime factors to calculate the LCM of 6562 and 6569.

LCM(6562,6569) = 21×171×1931×65691
LCM(6562,6569) = 43105778

Factors of 6562

List of positive integer factors of 6562 that divides 6562 without a remainder.

1, 2, 17, 34, 193, 386, 3281, 6562

Factors of 6569

List of positive integer factors of 6569 that divides 6569 without a remainder.

1, 6569

Least Common Multiple of 6562 and 6569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6562 and 6569, than apply into the LCM equation.

GCF(6562,6569) = 1
LCM(6562,6569) = ( 6562 × 6569) / 1
LCM(6562,6569) = 43105778 / 1
LCM(6562,6569) = 43105778

Properties of LCM 6562 and 6569

(i) The LCM of 6569 and 6562 is associative

LCM of 6562 and 6569 = LCM of 6569 and 6562

Related Least Common Multiples of 6562

Related Least Common Multiples of 6569

Frequently Asked Questions on LCM of 6562 and 6569

1. What is the LCM of 6562 and 6569?

Answer: LCM of 6562 and 6569 is 43105778.

2. What are the Factors of 6562?

Answer: Factors of 6562 are 1, 2, 17, 34, 193, 386, 3281, 6562. There are 8 integers that are factors of 6562. The greatest factor of 6562 is 6562.

3. What are the Factors of 6569?

Answer: Factors of 6569 are 1, 6569. There are 2 integers that are factors of 6569. The greatest factor of 6569 is 6569.

4. How to Find the LCM of 6562 and 6569?

Answer:

Least Common Multiple of 6562 and 6569 = 43105778

Step 1: Find the prime factorization of 6562

6562 = 2 x 17 x 193

Step 2: Find the prime factorization of 6569

6569 = 6569

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

LCM = 43105778 = 2 x 17 x 193 x 6569

Step 4: Therefore, the least common multiple of 6562 and 6569 is 43105778.