Least Common Multiple of 6521 and 6529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6521 and 6529 the smallest integer that is 42575609 that is divisible by both numbers.

Least Common Multiple (LCM) of 6521 and 6529 is 42575609.

LCM(6521,6529) = 42575609

LCM of 6521 and 6529

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

LCM of:
and

Least Common Multiple of 6521 and 6529

LCM of 6521 and 6529 is 42575609

Least common multiple can be found by multiplying the highest exponent prime factors of 6521 and 6529. First we will calculate the prime factors of 6521 and 6529.

Prime Factorization of 6521


6521 6521
1

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

6521 = 65211

Prime Factorization of 6529


6529 6529
1

Prime factors of 6529 are 6529. Prime factorization of 6529 in exponential form is:

6529 = 65291

Now multiplying the highest exponent prime factors to calculate the LCM of 6521 and 6529.

LCM(6521,6529) = 65211×65291
LCM(6521,6529) = 42575609

Factors of 6521

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

1, 6521

Factors of 6529

List of positive integer factors of 6529 that divides 6529 without a remainder.

1, 6529

Least Common Multiple of 6521 and 6529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6521 and 6529, than apply into the LCM equation.

GCF(6521,6529) = 1
LCM(6521,6529) = ( 6521 × 6529) / 1
LCM(6521,6529) = 42575609 / 1
LCM(6521,6529) = 42575609

Properties of LCM 6521 and 6529

(i) The LCM of 6529 and 6521 is associative

LCM of 6521 and 6529 = LCM of 6529 and 6521

Related Least Common Multiples of 6521

Related Least Common Multiples of 6529

Frequently Asked Questions on LCM of 6521 and 6529

1. What is the LCM of 6521 and 6529?

Answer: LCM of 6521 and 6529 is 42575609.

2. 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.

3. What are the Factors of 6529?

Answer: Factors of 6529 are 1, 6529. There are 2 integers that are factors of 6529. The greatest factor of 6529 is 6529.

4. How to Find the LCM of 6521 and 6529?

Answer:

Least Common Multiple of 6521 and 6529 = 42575609

Step 1: Find the prime factorization of 6521

6521 = 6521

Step 2: Find the prime factorization of 6529

6529 = 6529

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

LCM = 42575609 = 6521 x 6529

Step 4: Therefore, the least common multiple of 6521 and 6529 is 42575609.