Least Common Multiple of 6505 and 6507

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 6507 the smallest integer that is 42328035 that is divisible by both numbers.

Least Common Multiple (LCM) of 6505 and 6507 is 42328035.

LCM(6505,6507) = 42328035

LCM of 6505 and 6507

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

LCM of:
and

Least Common Multiple of 6505 and 6507

LCM of 6505 and 6507 is 42328035

Least common multiple can be found by multiplying the highest exponent prime factors of 6505 and 6507. First we will calculate the prime factors of 6505 and 6507.

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 6507


3 6507
3 2169
3 723
241 241
1

Prime factors of 6507 are 3,241. Prime factorization of 6507 in exponential form is:

6507 = 33×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 6505 and 6507.

LCM(6505,6507) = 33×51×2411×13011
LCM(6505,6507) = 42328035

Factors of 6505

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

1, 5, 1301, 6505

Factors of 6507

List of positive integer factors of 6507 that divides 6507 without a remainder.

1, 3, 9, 27, 241, 723, 2169, 6507

Least Common Multiple of 6505 and 6507 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 6507, than apply into the LCM equation.

GCF(6505,6507) = 1
LCM(6505,6507) = ( 6505 × 6507) / 1
LCM(6505,6507) = 42328035 / 1
LCM(6505,6507) = 42328035

Properties of LCM 6505 and 6507

(i) The LCM of 6507 and 6505 is associative

LCM of 6505 and 6507 = LCM of 6507 and 6505

Related Least Common Multiples of 6505

Related Least Common Multiples of 6507

Frequently Asked Questions on LCM of 6505 and 6507

1. What is the LCM of 6505 and 6507?

Answer: LCM of 6505 and 6507 is 42328035.

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 6507?

Answer: Factors of 6507 are 1, 3, 9, 27, 241, 723, 2169, 6507. There are 8 integers that are factors of 6507. The greatest factor of 6507 is 6507.

4. How to Find the LCM of 6505 and 6507?

Answer:

Least Common Multiple of 6505 and 6507 = 42328035

Step 1: Find the prime factorization of 6505

6505 = 5 x 1301

Step 2: Find the prime factorization of 6507

6507 = 3 x 3 x 3 x 241

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

LCM = 42328035 = 3 x 3 x 3 x 5 x 241 x 1301

Step 4: Therefore, the least common multiple of 6505 and 6507 is 42328035.