Least Common Multiple of 6523 and 6527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6523 and 6527 the smallest integer that is 42575621 that is divisible by both numbers.

Least Common Multiple (LCM) of 6523 and 6527 is 42575621.

LCM(6523,6527) = 42575621

LCM of 6523 and 6527

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

LCM of:
and

Least Common Multiple of 6523 and 6527

LCM of 6523 and 6527 is 42575621

Least common multiple can be found by multiplying the highest exponent prime factors of 6523 and 6527. First we will calculate the prime factors of 6523 and 6527.

Prime Factorization of 6523


11 6523
593 593
1

Prime factors of 6523 are 11,593. Prime factorization of 6523 in exponential form is:

6523 = 111×5931

Prime Factorization of 6527


61 6527
107 107
1

Prime factors of 6527 are 61,107. Prime factorization of 6527 in exponential form is:

6527 = 611×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 6523 and 6527.

LCM(6523,6527) = 111×611×1071×5931
LCM(6523,6527) = 42575621

Factors of 6523

List of positive integer factors of 6523 that divides 6523 without a remainder.

1, 11, 593, 6523

Factors of 6527

List of positive integer factors of 6527 that divides 6527 without a remainder.

1, 61, 107, 6527

Least Common Multiple of 6523 and 6527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6523 and 6527, than apply into the LCM equation.

GCF(6523,6527) = 1
LCM(6523,6527) = ( 6523 × 6527) / 1
LCM(6523,6527) = 42575621 / 1
LCM(6523,6527) = 42575621

Properties of LCM 6523 and 6527

(i) The LCM of 6527 and 6523 is associative

LCM of 6523 and 6527 = LCM of 6527 and 6523

Related Least Common Multiples of 6523

Related Least Common Multiples of 6527

Frequently Asked Questions on LCM of 6523 and 6527

1. What is the LCM of 6523 and 6527?

Answer: LCM of 6523 and 6527 is 42575621.

2. What are the Factors of 6523?

Answer: Factors of 6523 are 1, 11, 593, 6523. There are 4 integers that are factors of 6523. The greatest factor of 6523 is 6523.

3. What are the Factors of 6527?

Answer: Factors of 6527 are 1, 61, 107, 6527. There are 4 integers that are factors of 6527. The greatest factor of 6527 is 6527.

4. How to Find the LCM of 6523 and 6527?

Answer:

Least Common Multiple of 6523 and 6527 = 42575621

Step 1: Find the prime factorization of 6523

6523 = 11 x 593

Step 2: Find the prime factorization of 6527

6527 = 61 x 107

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

LCM = 42575621 = 11 x 61 x 107 x 593

Step 4: Therefore, the least common multiple of 6523 and 6527 is 42575621.