Least Common Multiple of 6562 and 6568

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 6568 the smallest integer that is 21549608 that is divisible by both numbers.

Least Common Multiple (LCM) of 6562 and 6568 is 21549608.

LCM(6562,6568) = 21549608

LCM of 6562 and 6568

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

LCM of:
and

Least Common Multiple of 6562 and 6568

LCM of 6562 and 6568 is 21549608

Least common multiple can be found by multiplying the highest exponent prime factors of 6562 and 6568. First we will calculate the prime factors of 6562 and 6568.

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 6568


2 6568
2 3284
2 1642
821 821
1

Prime factors of 6568 are 2,821. Prime factorization of 6568 in exponential form is:

6568 = 23×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 6562 and 6568.

LCM(6562,6568) = 23×171×1931×8211
LCM(6562,6568) = 21549608

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 6568

List of positive integer factors of 6568 that divides 6568 without a remainder.

1, 2, 4, 8, 821, 1642, 3284, 6568

Least Common Multiple of 6562 and 6568 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 6568, than apply into the LCM equation.

GCF(6562,6568) = 2
LCM(6562,6568) = ( 6562 × 6568) / 2
LCM(6562,6568) = 43099216 / 2
LCM(6562,6568) = 21549608

Properties of LCM 6562 and 6568

(i) The LCM of 6568 and 6562 is associative

LCM of 6562 and 6568 = LCM of 6568 and 6562

Related Least Common Multiples of 6562

Related Least Common Multiples of 6568

Frequently Asked Questions on LCM of 6562 and 6568

1. What is the LCM of 6562 and 6568?

Answer: LCM of 6562 and 6568 is 21549608.

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 6568?

Answer: Factors of 6568 are 1, 2, 4, 8, 821, 1642, 3284, 6568. There are 8 integers that are factors of 6568. The greatest factor of 6568 is 6568.

4. How to Find the LCM of 6562 and 6568?

Answer:

Least Common Multiple of 6562 and 6568 = 21549608

Step 1: Find the prime factorization of 6562

6562 = 2 x 17 x 193

Step 2: Find the prime factorization of 6568

6568 = 2 x 2 x 2 x 821

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

LCM = 21549608 = 2 x 2 x 2 x 17 x 193 x 821

Step 4: Therefore, the least common multiple of 6562 and 6568 is 21549608.