Least Common Multiple of 6505 and 6512

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 6512 the smallest integer that is 42360560 that is divisible by both numbers.

Least Common Multiple (LCM) of 6505 and 6512 is 42360560.

LCM(6505,6512) = 42360560

LCM of 6505 and 6512

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

LCM of:
and

Least Common Multiple of 6505 and 6512

LCM of 6505 and 6512 is 42360560

Least common multiple can be found by multiplying the highest exponent prime factors of 6505 and 6512. First we will calculate the prime factors of 6505 and 6512.

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 6512


2 6512
2 3256
2 1628
2 814
11 407
37 37
1

Prime factors of 6512 are 2, 11,37. Prime factorization of 6512 in exponential form is:

6512 = 24×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 6505 and 6512.

LCM(6505,6512) = 24×51×111×371×13011
LCM(6505,6512) = 42360560

Factors of 6505

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

1, 5, 1301, 6505

Factors of 6512

List of positive integer factors of 6512 that divides 6512 without a remainder.

1, 2, 4, 8, 11, 16, 22, 37, 44, 74, 88, 148, 176, 296, 407, 592, 814, 1628, 3256, 6512

Least Common Multiple of 6505 and 6512 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 6512, than apply into the LCM equation.

GCF(6505,6512) = 1
LCM(6505,6512) = ( 6505 × 6512) / 1
LCM(6505,6512) = 42360560 / 1
LCM(6505,6512) = 42360560

Properties of LCM 6505 and 6512

(i) The LCM of 6512 and 6505 is associative

LCM of 6505 and 6512 = LCM of 6512 and 6505

Related Least Common Multiples of 6505

Related Least Common Multiples of 6512

Frequently Asked Questions on LCM of 6505 and 6512

1. What is the LCM of 6505 and 6512?

Answer: LCM of 6505 and 6512 is 42360560.

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 6512?

Answer: Factors of 6512 are 1, 2, 4, 8, 11, 16, 22, 37, 44, 74, 88, 148, 176, 296, 407, 592, 814, 1628, 3256, 6512. There are 20 integers that are factors of 6512. The greatest factor of 6512 is 6512.

4. How to Find the LCM of 6505 and 6512?

Answer:

Least Common Multiple of 6505 and 6512 = 42360560

Step 1: Find the prime factorization of 6505

6505 = 5 x 1301

Step 2: Find the prime factorization of 6512

6512 = 2 x 2 x 2 x 2 x 11 x 37

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

LCM = 42360560 = 2 x 2 x 2 x 2 x 5 x 11 x 37 x 1301

Step 4: Therefore, the least common multiple of 6505 and 6512 is 42360560.