Least Common Multiple of 6509 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 6509 and 6512 the smallest integer that is 42386608 that is divisible by both numbers.

Least Common Multiple (LCM) of 6509 and 6512 is 42386608.

LCM(6509,6512) = 42386608

LCM of 6509 and 6512

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

LCM of:
and

Least Common Multiple of 6509 and 6512

LCM of 6509 and 6512 is 42386608

Least common multiple can be found by multiplying the highest exponent prime factors of 6509 and 6512. First we will calculate the prime factors of 6509 and 6512.

Prime Factorization of 6509


23 6509
283 283
1

Prime factors of 6509 are 23,283. Prime factorization of 6509 in exponential form is:

6509 = 231×2831

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 6509 and 6512.

LCM(6509,6512) = 24×111×231×371×2831
LCM(6509,6512) = 42386608

Factors of 6509

List of positive integer factors of 6509 that divides 6509 without a remainder.

1, 23, 283, 6509

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 6509 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 6509 and 6512, than apply into the LCM equation.

GCF(6509,6512) = 1
LCM(6509,6512) = ( 6509 × 6512) / 1
LCM(6509,6512) = 42386608 / 1
LCM(6509,6512) = 42386608

Properties of LCM 6509 and 6512

(i) The LCM of 6512 and 6509 is associative

LCM of 6509 and 6512 = LCM of 6512 and 6509

Related Least Common Multiples of 6509

Related Least Common Multiples of 6512

Frequently Asked Questions on LCM of 6509 and 6512

1. What is the LCM of 6509 and 6512?

Answer: LCM of 6509 and 6512 is 42386608.

2. What are the Factors of 6509?

Answer: Factors of 6509 are 1, 23, 283, 6509. There are 4 integers that are factors of 6509. The greatest factor of 6509 is 6509.

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 6509 and 6512?

Answer:

Least Common Multiple of 6509 and 6512 = 42386608

Step 1: Find the prime factorization of 6509

6509 = 23 x 283

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 = 42386608 = 2 x 2 x 2 x 2 x 11 x 23 x 37 x 283

Step 4: Therefore, the least common multiple of 6509 and 6512 is 42386608.