Least Common Multiple of 6524 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 6524 and 6532 the smallest integer that is 10653692 that is divisible by both numbers.

Least Common Multiple (LCM) of 6524 and 6532 is 10653692.

LCM(6524,6532) = 10653692

LCM of 6524 and 6532

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

LCM of:
and

Least Common Multiple of 6524 and 6532

LCM of 6524 and 6532 is 10653692

Least common multiple can be found by multiplying the highest exponent prime factors of 6524 and 6532. First we will calculate the prime factors of 6524 and 6532.

Prime Factorization of 6524


2 6524
2 3262
7 1631
233 233
1

Prime factors of 6524 are 2, 7,233. Prime factorization of 6524 in exponential form is:

6524 = 22×71×2331

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 6524 and 6532.

LCM(6524,6532) = 22×71×231×711×2331
LCM(6524,6532) = 10653692

Factors of 6524

List of positive integer factors of 6524 that divides 6524 without a remainder.

1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524

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 6524 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 6524 and 6532, than apply into the LCM equation.

GCF(6524,6532) = 4
LCM(6524,6532) = ( 6524 × 6532) / 4
LCM(6524,6532) = 42614768 / 4
LCM(6524,6532) = 10653692

Properties of LCM 6524 and 6532

(i) The LCM of 6532 and 6524 is associative

LCM of 6524 and 6532 = LCM of 6532 and 6524

Related Least Common Multiples of 6524

Related Least Common Multiples of 6532

Frequently Asked Questions on LCM of 6524 and 6532

1. What is the LCM of 6524 and 6532?

Answer: LCM of 6524 and 6532 is 10653692.

2. What are the Factors of 6524?

Answer: Factors of 6524 are 1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524. There are 12 integers that are factors of 6524. The greatest factor of 6524 is 6524.

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 6524 and 6532?

Answer:

Least Common Multiple of 6524 and 6532 = 10653692

Step 1: Find the prime factorization of 6524

6524 = 2 x 2 x 7 x 233

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 = 10653692 = 2 x 2 x 7 x 23 x 71 x 233

Step 4: Therefore, the least common multiple of 6524 and 6532 is 10653692.