Least Common Multiple of 6505 and 6508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6505 and 6508 the smallest integer that is 42334540 that is divisible by both numbers.

Least Common Multiple (LCM) of 6505 and 6508 is 42334540.

LCM(6505,6508) = 42334540

LCM of 6505 and 6508

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

LCM of:
and

Least Common Multiple of 6505 and 6508

LCM of 6505 and 6508 is 42334540

Least common multiple can be found by multiplying the highest exponent prime factors of 6505 and 6508. First we will calculate the prime factors of 6505 and 6508.

Prime Factorization of 6505


5 6505
1301 1301
1

Prime factors of 6505 are 5,1301. Prime factorization of 6505 in exponential form is:

6505 = 51×13011

Prime Factorization of 6508


2 6508
2 3254
1627 1627
1

Prime factors of 6508 are 2,1627. Prime factorization of 6508 in exponential form is:

6508 = 22×16271

Now multiplying the highest exponent prime factors to calculate the LCM of 6505 and 6508.

LCM(6505,6508) = 22×51×13011×16271
LCM(6505,6508) = 42334540

Factors of 6505

List of positive integer factors of 6505 that divides 6505 without a remainder.

1, 5, 1301, 6505

Factors of 6508

List of positive integer factors of 6508 that divides 6508 without a remainder.

1, 2, 4, 1627, 3254, 6508

Least Common Multiple of 6505 and 6508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6505 and 6508, than apply into the LCM equation.

GCF(6505,6508) = 1
LCM(6505,6508) = ( 6505 × 6508) / 1
LCM(6505,6508) = 42334540 / 1
LCM(6505,6508) = 42334540

Properties of LCM 6505 and 6508

(i) The LCM of 6508 and 6505 is associative

LCM of 6505 and 6508 = LCM of 6508 and 6505

Related Least Common Multiples of 6505

Related Least Common Multiples of 6508

Frequently Asked Questions on LCM of 6505 and 6508

1. What is the LCM of 6505 and 6508?

Answer: LCM of 6505 and 6508 is 42334540.

2. What are the Factors of 6505?

Answer: Factors of 6505 are 1, 5, 1301, 6505. There are 4 integers that are factors of 6505. The greatest factor of 6505 is 6505.

3. What are the Factors of 6508?

Answer: Factors of 6508 are 1, 2, 4, 1627, 3254, 6508. There are 6 integers that are factors of 6508. The greatest factor of 6508 is 6508.

4. How to Find the LCM of 6505 and 6508?

Answer:

Least Common Multiple of 6505 and 6508 = 42334540

Step 1: Find the prime factorization of 6505

6505 = 5 x 1301

Step 2: Find the prime factorization of 6508

6508 = 2 x 2 x 1627

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

LCM = 42334540 = 2 x 2 x 5 x 1301 x 1627

Step 4: Therefore, the least common multiple of 6505 and 6508 is 42334540.