Least Common Multiple of 6532 and 6539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6532 and 6539 the smallest integer that is 42712748 that is divisible by both numbers.

Least Common Multiple (LCM) of 6532 and 6539 is 42712748.

LCM(6532,6539) = 42712748

LCM of 6532 and 6539

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

LCM of:
and

Least Common Multiple of 6532 and 6539

LCM of 6532 and 6539 is 42712748

Least common multiple can be found by multiplying the highest exponent prime factors of 6532 and 6539. First we will calculate the prime factors of 6532 and 6539.

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

Prime Factorization of 6539


13 6539
503 503
1

Prime factors of 6539 are 13,503. Prime factorization of 6539 in exponential form is:

6539 = 131×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 6532 and 6539.

LCM(6532,6539) = 22×131×231×711×5031
LCM(6532,6539) = 42712748

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

Factors of 6539

List of positive integer factors of 6539 that divides 6539 without a remainder.

1, 13, 503, 6539

Least Common Multiple of 6532 and 6539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6532 and 6539, than apply into the LCM equation.

GCF(6532,6539) = 1
LCM(6532,6539) = ( 6532 × 6539) / 1
LCM(6532,6539) = 42712748 / 1
LCM(6532,6539) = 42712748

Properties of LCM 6532 and 6539

(i) The LCM of 6539 and 6532 is associative

LCM of 6532 and 6539 = LCM of 6539 and 6532

Related Least Common Multiples of 6532

Related Least Common Multiples of 6539

Frequently Asked Questions on LCM of 6532 and 6539

1. What is the LCM of 6532 and 6539?

Answer: LCM of 6532 and 6539 is 42712748.

2. 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.

3. What are the Factors of 6539?

Answer: Factors of 6539 are 1, 13, 503, 6539. There are 4 integers that are factors of 6539. The greatest factor of 6539 is 6539.

4. How to Find the LCM of 6532 and 6539?

Answer:

Least Common Multiple of 6532 and 6539 = 42712748

Step 1: Find the prime factorization of 6532

6532 = 2 x 2 x 23 x 71

Step 2: Find the prime factorization of 6539

6539 = 13 x 503

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

LCM = 42712748 = 2 x 2 x 13 x 23 x 71 x 503

Step 4: Therefore, the least common multiple of 6532 and 6539 is 42712748.