Least Common Multiple of 6531 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 6531 and 6532 the smallest integer that is 42660492 that is divisible by both numbers.

Least Common Multiple (LCM) of 6531 and 6532 is 42660492.

LCM(6531,6532) = 42660492

LCM of 6531 and 6532

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

LCM of:
and

Least Common Multiple of 6531 and 6532

LCM of 6531 and 6532 is 42660492

Least common multiple can be found by multiplying the highest exponent prime factors of 6531 and 6532. First we will calculate the prime factors of 6531 and 6532.

Prime Factorization of 6531


3 6531
7 2177
311 311
1

Prime factors of 6531 are 3, 7,311. Prime factorization of 6531 in exponential form is:

6531 = 31×71×3111

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 6531 and 6532.

LCM(6531,6532) = 22×31×71×231×711×3111
LCM(6531,6532) = 42660492

Factors of 6531

List of positive integer factors of 6531 that divides 6531 without a remainder.

1, 3, 7, 21, 311, 933, 2177, 6531

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 6531 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 6531 and 6532, than apply into the LCM equation.

GCF(6531,6532) = 1
LCM(6531,6532) = ( 6531 × 6532) / 1
LCM(6531,6532) = 42660492 / 1
LCM(6531,6532) = 42660492

Properties of LCM 6531 and 6532

(i) The LCM of 6532 and 6531 is associative

LCM of 6531 and 6532 = LCM of 6532 and 6531

Related Least Common Multiples of 6531

Related Least Common Multiples of 6532

Frequently Asked Questions on LCM of 6531 and 6532

1. What is the LCM of 6531 and 6532?

Answer: LCM of 6531 and 6532 is 42660492.

2. What are the Factors of 6531?

Answer: Factors of 6531 are 1, 3, 7, 21, 311, 933, 2177, 6531. There are 8 integers that are factors of 6531. The greatest factor of 6531 is 6531.

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 6531 and 6532?

Answer:

Least Common Multiple of 6531 and 6532 = 42660492

Step 1: Find the prime factorization of 6531

6531 = 3 x 7 x 311

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 = 42660492 = 2 x 2 x 3 x 7 x 23 x 71 x 311

Step 4: Therefore, the least common multiple of 6531 and 6532 is 42660492.