Least Common Multiple of 6562 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 6562 and 6566 the smallest integer that is 21543046 that is divisible by both numbers.

Least Common Multiple (LCM) of 6562 and 6566 is 21543046.

LCM(6562,6566) = 21543046

LCM of 6562 and 6566

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

LCM of:
and

Least Common Multiple of 6562 and 6566

LCM of 6562 and 6566 is 21543046

Least common multiple can be found by multiplying the highest exponent prime factors of 6562 and 6566. First we will calculate the prime factors of 6562 and 6566.

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 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 6562 and 6566.

LCM(6562,6566) = 21×72×171×671×1931
LCM(6562,6566) = 21543046

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 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 6562 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 6562 and 6566, than apply into the LCM equation.

GCF(6562,6566) = 2
LCM(6562,6566) = ( 6562 × 6566) / 2
LCM(6562,6566) = 43086092 / 2
LCM(6562,6566) = 21543046

Properties of LCM 6562 and 6566

(i) The LCM of 6566 and 6562 is associative

LCM of 6562 and 6566 = LCM of 6566 and 6562

Related Least Common Multiples of 6562

Related Least Common Multiples of 6566

Frequently Asked Questions on LCM of 6562 and 6566

1. What is the LCM of 6562 and 6566?

Answer: LCM of 6562 and 6566 is 21543046.

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 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 6562 and 6566?

Answer:

Least Common Multiple of 6562 and 6566 = 21543046

Step 1: Find the prime factorization of 6562

6562 = 2 x 17 x 193

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 = 21543046 = 2 x 7 x 7 x 17 x 67 x 193

Step 4: Therefore, the least common multiple of 6562 and 6566 is 21543046.