Least Common Multiple of 6507 and 6513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6507 and 6513 the smallest integer that is 14126697 that is divisible by both numbers.

Least Common Multiple (LCM) of 6507 and 6513 is 14126697.

LCM(6507,6513) = 14126697

LCM of 6507 and 6513

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

LCM of:
and

Least Common Multiple of 6507 and 6513

LCM of 6507 and 6513 is 14126697

Least common multiple can be found by multiplying the highest exponent prime factors of 6507 and 6513. First we will calculate the prime factors of 6507 and 6513.

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

Prime Factorization of 6513


3 6513
13 2171
167 167
1

Prime factors of 6513 are 3, 13,167. Prime factorization of 6513 in exponential form is:

6513 = 31×131×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 6507 and 6513.

LCM(6507,6513) = 33×131×1671×2411
LCM(6507,6513) = 14126697

Factors of 6507

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

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

Factors of 6513

List of positive integer factors of 6513 that divides 6513 without a remainder.

1, 3, 13, 39, 167, 501, 2171, 6513

Least Common Multiple of 6507 and 6513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6507 and 6513, than apply into the LCM equation.

GCF(6507,6513) = 3
LCM(6507,6513) = ( 6507 × 6513) / 3
LCM(6507,6513) = 42380091 / 3
LCM(6507,6513) = 14126697

Properties of LCM 6507 and 6513

(i) The LCM of 6513 and 6507 is associative

LCM of 6507 and 6513 = LCM of 6513 and 6507

Related Least Common Multiples of 6507

Related Least Common Multiples of 6513

Frequently Asked Questions on LCM of 6507 and 6513

1. What is the LCM of 6507 and 6513?

Answer: LCM of 6507 and 6513 is 14126697.

2. 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.

3. What are the Factors of 6513?

Answer: Factors of 6513 are 1, 3, 13, 39, 167, 501, 2171, 6513. There are 8 integers that are factors of 6513. The greatest factor of 6513 is 6513.

4. How to Find the LCM of 6507 and 6513?

Answer:

Least Common Multiple of 6507 and 6513 = 14126697

Step 1: Find the prime factorization of 6507

6507 = 3 x 3 x 3 x 241

Step 2: Find the prime factorization of 6513

6513 = 3 x 13 x 167

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

LCM = 14126697 = 3 x 3 x 3 x 13 x 167 x 241

Step 4: Therefore, the least common multiple of 6507 and 6513 is 14126697.