Least Common Multiple of 6506 and 6511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6506 and 6511 the smallest integer that is 42360566 that is divisible by both numbers.

Least Common Multiple (LCM) of 6506 and 6511 is 42360566.

LCM(6506,6511) = 42360566

LCM of 6506 and 6511

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

LCM of:
and

Least Common Multiple of 6506 and 6511

LCM of 6506 and 6511 is 42360566

Least common multiple can be found by multiplying the highest exponent prime factors of 6506 and 6511. First we will calculate the prime factors of 6506 and 6511.

Prime Factorization of 6506


2 6506
3253 3253
1

Prime factors of 6506 are 2,3253. Prime factorization of 6506 in exponential form is:

6506 = 21×32531

Prime Factorization of 6511


17 6511
383 383
1

Prime factors of 6511 are 17,383. Prime factorization of 6511 in exponential form is:

6511 = 171×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 6506 and 6511.

LCM(6506,6511) = 21×171×3831×32531
LCM(6506,6511) = 42360566

Factors of 6506

List of positive integer factors of 6506 that divides 6506 without a remainder.

1, 2, 3253, 6506

Factors of 6511

List of positive integer factors of 6511 that divides 6511 without a remainder.

1, 17, 383, 6511

Least Common Multiple of 6506 and 6511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6506 and 6511, than apply into the LCM equation.

GCF(6506,6511) = 1
LCM(6506,6511) = ( 6506 × 6511) / 1
LCM(6506,6511) = 42360566 / 1
LCM(6506,6511) = 42360566

Properties of LCM 6506 and 6511

(i) The LCM of 6511 and 6506 is associative

LCM of 6506 and 6511 = LCM of 6511 and 6506

Related Least Common Multiples of 6506

Related Least Common Multiples of 6511

Frequently Asked Questions on LCM of 6506 and 6511

1. What is the LCM of 6506 and 6511?

Answer: LCM of 6506 and 6511 is 42360566.

2. What are the Factors of 6506?

Answer: Factors of 6506 are 1, 2, 3253, 6506. There are 4 integers that are factors of 6506. The greatest factor of 6506 is 6506.

3. What are the Factors of 6511?

Answer: Factors of 6511 are 1, 17, 383, 6511. There are 4 integers that are factors of 6511. The greatest factor of 6511 is 6511.

4. How to Find the LCM of 6506 and 6511?

Answer:

Least Common Multiple of 6506 and 6511 = 42360566

Step 1: Find the prime factorization of 6506

6506 = 2 x 3253

Step 2: Find the prime factorization of 6511

6511 = 17 x 383

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

LCM = 42360566 = 2 x 17 x 383 x 3253

Step 4: Therefore, the least common multiple of 6506 and 6511 is 42360566.