Least Common Multiple of 6520 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 6520 and 6521 the smallest integer that is 42516920 that is divisible by both numbers.

Least Common Multiple (LCM) of 6520 and 6521 is 42516920.

LCM(6520,6521) = 42516920

LCM of 6520 and 6521

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

LCM of:
and

Least Common Multiple of 6520 and 6521

LCM of 6520 and 6521 is 42516920

Least common multiple can be found by multiplying the highest exponent prime factors of 6520 and 6521. First we will calculate the prime factors of 6520 and 6521.

Prime Factorization of 6520


2 6520
2 3260
2 1630
5 815
163 163
1

Prime factors of 6520 are 2, 5,163. Prime factorization of 6520 in exponential form is:

6520 = 23×51×1631

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 6520 and 6521.

LCM(6520,6521) = 23×51×1631×65211
LCM(6520,6521) = 42516920

Factors of 6520

List of positive integer factors of 6520 that divides 6520 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520

Factors of 6521

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

1, 6521

Least Common Multiple of 6520 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 6520 and 6521, than apply into the LCM equation.

GCF(6520,6521) = 1
LCM(6520,6521) = ( 6520 × 6521) / 1
LCM(6520,6521) = 42516920 / 1
LCM(6520,6521) = 42516920

Properties of LCM 6520 and 6521

(i) The LCM of 6521 and 6520 is associative

LCM of 6520 and 6521 = LCM of 6521 and 6520

Related Least Common Multiples of 6520

Related Least Common Multiples of 6521

Frequently Asked Questions on LCM of 6520 and 6521

1. What is the LCM of 6520 and 6521?

Answer: LCM of 6520 and 6521 is 42516920.

2. What are the Factors of 6520?

Answer: Factors of 6520 are 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520. There are 16 integers that are factors of 6520. The greatest factor of 6520 is 6520.

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 6520 and 6521?

Answer:

Least Common Multiple of 6520 and 6521 = 42516920

Step 1: Find the prime factorization of 6520

6520 = 2 x 2 x 2 x 5 x 163

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 = 42516920 = 2 x 2 x 2 x 5 x 163 x 6521

Step 4: Therefore, the least common multiple of 6520 and 6521 is 42516920.