Least Common Multiple of 6513 and 6518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6513 and 6518 the smallest integer that is 42451734 that is divisible by both numbers.

Least Common Multiple (LCM) of 6513 and 6518 is 42451734.

LCM(6513,6518) = 42451734

LCM of 6513 and 6518

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

LCM of:
and

Least Common Multiple of 6513 and 6518

LCM of 6513 and 6518 is 42451734

Least common multiple can be found by multiplying the highest exponent prime factors of 6513 and 6518. First we will calculate the prime factors of 6513 and 6518.

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

Prime Factorization of 6518


2 6518
3259 3259
1

Prime factors of 6518 are 2,3259. Prime factorization of 6518 in exponential form is:

6518 = 21×32591

Now multiplying the highest exponent prime factors to calculate the LCM of 6513 and 6518.

LCM(6513,6518) = 21×31×131×1671×32591
LCM(6513,6518) = 42451734

Factors of 6513

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

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

Factors of 6518

List of positive integer factors of 6518 that divides 6518 without a remainder.

1, 2, 3259, 6518

Least Common Multiple of 6513 and 6518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6513 and 6518, than apply into the LCM equation.

GCF(6513,6518) = 1
LCM(6513,6518) = ( 6513 × 6518) / 1
LCM(6513,6518) = 42451734 / 1
LCM(6513,6518) = 42451734

Properties of LCM 6513 and 6518

(i) The LCM of 6518 and 6513 is associative

LCM of 6513 and 6518 = LCM of 6518 and 6513

Related Least Common Multiples of 6513

Related Least Common Multiples of 6518

Frequently Asked Questions on LCM of 6513 and 6518

1. What is the LCM of 6513 and 6518?

Answer: LCM of 6513 and 6518 is 42451734.

2. 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.

3. What are the Factors of 6518?

Answer: Factors of 6518 are 1, 2, 3259, 6518. There are 4 integers that are factors of 6518. The greatest factor of 6518 is 6518.

4. How to Find the LCM of 6513 and 6518?

Answer:

Least Common Multiple of 6513 and 6518 = 42451734

Step 1: Find the prime factorization of 6513

6513 = 3 x 13 x 167

Step 2: Find the prime factorization of 6518

6518 = 2 x 3259

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

LCM = 42451734 = 2 x 3 x 13 x 167 x 3259

Step 4: Therefore, the least common multiple of 6513 and 6518 is 42451734.