Least Common Multiple of 6517 and 6521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6517 and 6521 the smallest integer that is 42497357 that is divisible by both numbers.

Least Common Multiple (LCM) of 6517 and 6521 is 42497357.

LCM(6517,6521) = 42497357

LCM of 6517 and 6521

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

LCM of:
and

Least Common Multiple of 6517 and 6521

LCM of 6517 and 6521 is 42497357

Least common multiple can be found by multiplying the highest exponent prime factors of 6517 and 6521. First we will calculate the prime factors of 6517 and 6521.

Prime Factorization of 6517


7 6517
7 931
7 133
19 19
1

Prime factors of 6517 are 7,19. Prime factorization of 6517 in exponential form is:

6517 = 73×191

Prime Factorization of 6521


6521 6521
1

Prime factors of 6521 are 6521. Prime factorization of 6521 in exponential form is:

6521 = 65211

Now multiplying the highest exponent prime factors to calculate the LCM of 6517 and 6521.

LCM(6517,6521) = 73×191×65211
LCM(6517,6521) = 42497357

Factors of 6517

List of positive integer factors of 6517 that divides 6517 without a remainder.

1, 7, 19, 49, 133, 343, 931, 6517

Factors of 6521

List of positive integer factors of 6521 that divides 6521 without a remainder.

1, 6521

Least Common Multiple of 6517 and 6521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6517 and 6521, than apply into the LCM equation.

GCF(6517,6521) = 1
LCM(6517,6521) = ( 6517 × 6521) / 1
LCM(6517,6521) = 42497357 / 1
LCM(6517,6521) = 42497357

Properties of LCM 6517 and 6521

(i) The LCM of 6521 and 6517 is associative

LCM of 6517 and 6521 = LCM of 6521 and 6517

Related Least Common Multiples of 6517

Related Least Common Multiples of 6521

Frequently Asked Questions on LCM of 6517 and 6521

1. What is the LCM of 6517 and 6521?

Answer: LCM of 6517 and 6521 is 42497357.

2. What are the Factors of 6517?

Answer: Factors of 6517 are 1, 7, 19, 49, 133, 343, 931, 6517. There are 8 integers that are factors of 6517. The greatest factor of 6517 is 6517.

3. What are the Factors of 6521?

Answer: Factors of 6521 are 1, 6521. There are 2 integers that are factors of 6521. The greatest factor of 6521 is 6521.

4. How to Find the LCM of 6517 and 6521?

Answer:

Least Common Multiple of 6517 and 6521 = 42497357

Step 1: Find the prime factorization of 6517

6517 = 7 x 7 x 7 x 19

Step 2: Find the prime factorization of 6521

6521 = 6521

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

LCM = 42497357 = 7 x 7 x 7 x 19 x 6521

Step 4: Therefore, the least common multiple of 6517 and 6521 is 42497357.