Least Common Multiple of 6526 and 6531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6526 and 6531 the smallest integer that is 42621306 that is divisible by both numbers.

Least Common Multiple (LCM) of 6526 and 6531 is 42621306.

LCM(6526,6531) = 42621306

LCM of 6526 and 6531

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

LCM of:
and

Least Common Multiple of 6526 and 6531

LCM of 6526 and 6531 is 42621306

Least common multiple can be found by multiplying the highest exponent prime factors of 6526 and 6531. First we will calculate the prime factors of 6526 and 6531.

Prime Factorization of 6526


2 6526
13 3263
251 251
1

Prime factors of 6526 are 2, 13,251. Prime factorization of 6526 in exponential form is:

6526 = 21×131×2511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6526 and 6531.

LCM(6526,6531) = 21×31×71×131×2511×3111
LCM(6526,6531) = 42621306

Factors of 6526

List of positive integer factors of 6526 that divides 6526 without a remainder.

1, 2, 13, 26, 251, 502, 3263, 6526

Factors of 6531

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

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

Least Common Multiple of 6526 and 6531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6526 and 6531, than apply into the LCM equation.

GCF(6526,6531) = 1
LCM(6526,6531) = ( 6526 × 6531) / 1
LCM(6526,6531) = 42621306 / 1
LCM(6526,6531) = 42621306

Properties of LCM 6526 and 6531

(i) The LCM of 6531 and 6526 is associative

LCM of 6526 and 6531 = LCM of 6531 and 6526

Related Least Common Multiples of 6526

Related Least Common Multiples of 6531

Frequently Asked Questions on LCM of 6526 and 6531

1. What is the LCM of 6526 and 6531?

Answer: LCM of 6526 and 6531 is 42621306.

2. What are the Factors of 6526?

Answer: Factors of 6526 are 1, 2, 13, 26, 251, 502, 3263, 6526. There are 8 integers that are factors of 6526. The greatest factor of 6526 is 6526.

3. 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.

4. How to Find the LCM of 6526 and 6531?

Answer:

Least Common Multiple of 6526 and 6531 = 42621306

Step 1: Find the prime factorization of 6526

6526 = 2 x 13 x 251

Step 2: Find the prime factorization of 6531

6531 = 3 x 7 x 311

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

LCM = 42621306 = 2 x 3 x 7 x 13 x 251 x 311

Step 4: Therefore, the least common multiple of 6526 and 6531 is 42621306.