Least Common Multiple of 6520 and 6525

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 6525 the smallest integer that is 8508600 that is divisible by both numbers.

Least Common Multiple (LCM) of 6520 and 6525 is 8508600.

LCM(6520,6525) = 8508600

LCM of 6520 and 6525

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

LCM of:
and

Least Common Multiple of 6520 and 6525

LCM of 6520 and 6525 is 8508600

Least common multiple can be found by multiplying the highest exponent prime factors of 6520 and 6525. First we will calculate the prime factors of 6520 and 6525.

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 6525


3 6525
3 2175
5 725
5 145
29 29
1

Prime factors of 6525 are 3, 5,29. Prime factorization of 6525 in exponential form is:

6525 = 32×52×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6520 and 6525.

LCM(6520,6525) = 23×32×52×291×1631
LCM(6520,6525) = 8508600

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 6525

List of positive integer factors of 6525 that divides 6525 without a remainder.

1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 145, 225, 261, 435, 725, 1305, 2175, 6525

Least Common Multiple of 6520 and 6525 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 6525, than apply into the LCM equation.

GCF(6520,6525) = 5
LCM(6520,6525) = ( 6520 × 6525) / 5
LCM(6520,6525) = 42543000 / 5
LCM(6520,6525) = 8508600

Properties of LCM 6520 and 6525

(i) The LCM of 6525 and 6520 is associative

LCM of 6520 and 6525 = LCM of 6525 and 6520

Related Least Common Multiples of 6520

Related Least Common Multiples of 6525

Frequently Asked Questions on LCM of 6520 and 6525

1. What is the LCM of 6520 and 6525?

Answer: LCM of 6520 and 6525 is 8508600.

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 6525?

Answer: Factors of 6525 are 1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 145, 225, 261, 435, 725, 1305, 2175, 6525. There are 18 integers that are factors of 6525. The greatest factor of 6525 is 6525.

4. How to Find the LCM of 6520 and 6525?

Answer:

Least Common Multiple of 6520 and 6525 = 8508600

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 6525

6525 = 3 x 3 x 5 x 5 x 29

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

LCM = 8508600 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 29 x 163

Step 4: Therefore, the least common multiple of 6520 and 6525 is 8508600.