Least Common Multiple of 6525 and 6532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6525 and 6532 the smallest integer that is 42621300 that is divisible by both numbers.

Least Common Multiple (LCM) of 6525 and 6532 is 42621300.

LCM(6525,6532) = 42621300

LCM of 6525 and 6532

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

LCM of:
and

Least Common Multiple of 6525 and 6532

LCM of 6525 and 6532 is 42621300

Least common multiple can be found by multiplying the highest exponent prime factors of 6525 and 6532. First we will calculate the prime factors of 6525 and 6532.

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

Prime Factorization of 6532


2 6532
2 3266
23 1633
71 71
1

Prime factors of 6532 are 2, 23,71. Prime factorization of 6532 in exponential form is:

6532 = 22×231×711

Now multiplying the highest exponent prime factors to calculate the LCM of 6525 and 6532.

LCM(6525,6532) = 22×32×52×231×291×711
LCM(6525,6532) = 42621300

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

Factors of 6532

List of positive integer factors of 6532 that divides 6532 without a remainder.

1, 2, 4, 23, 46, 71, 92, 142, 284, 1633, 3266, 6532

Least Common Multiple of 6525 and 6532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6525 and 6532, than apply into the LCM equation.

GCF(6525,6532) = 1
LCM(6525,6532) = ( 6525 × 6532) / 1
LCM(6525,6532) = 42621300 / 1
LCM(6525,6532) = 42621300

Properties of LCM 6525 and 6532

(i) The LCM of 6532 and 6525 is associative

LCM of 6525 and 6532 = LCM of 6532 and 6525

Related Least Common Multiples of 6525

Related Least Common Multiples of 6532

Frequently Asked Questions on LCM of 6525 and 6532

1. What is the LCM of 6525 and 6532?

Answer: LCM of 6525 and 6532 is 42621300.

2. 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.

3. What are the Factors of 6532?

Answer: Factors of 6532 are 1, 2, 4, 23, 46, 71, 92, 142, 284, 1633, 3266, 6532. There are 12 integers that are factors of 6532. The greatest factor of 6532 is 6532.

4. How to Find the LCM of 6525 and 6532?

Answer:

Least Common Multiple of 6525 and 6532 = 42621300

Step 1: Find the prime factorization of 6525

6525 = 3 x 3 x 5 x 5 x 29

Step 2: Find the prime factorization of 6532

6532 = 2 x 2 x 23 x 71

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

LCM = 42621300 = 2 x 2 x 3 x 3 x 5 x 5 x 23 x 29 x 71

Step 4: Therefore, the least common multiple of 6525 and 6532 is 42621300.