Least Common Multiple of 8521 and 8527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8521 and 8527 the smallest integer that is 72658567 that is divisible by both numbers.

Least Common Multiple (LCM) of 8521 and 8527 is 72658567.

LCM(8521,8527) = 72658567

LCM of 8521 and 8527

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

LCM of:
and

Least Common Multiple of 8521 and 8527

LCM of 8521 and 8527 is 72658567

Least common multiple can be found by multiplying the highest exponent prime factors of 8521 and 8527. First we will calculate the prime factors of 8521 and 8527.

Prime Factorization of 8521


8521 8521
1

Prime factors of 8521 are 8521. Prime factorization of 8521 in exponential form is:

8521 = 85211

Prime Factorization of 8527


8527 8527
1

Prime factors of 8527 are 8527. Prime factorization of 8527 in exponential form is:

8527 = 85271

Now multiplying the highest exponent prime factors to calculate the LCM of 8521 and 8527.

LCM(8521,8527) = 85211×85271
LCM(8521,8527) = 72658567

Factors of 8521

List of positive integer factors of 8521 that divides 8521 without a remainder.

1, 8521

Factors of 8527

List of positive integer factors of 8527 that divides 8527 without a remainder.

1, 8527

Least Common Multiple of 8521 and 8527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8521 and 8527, than apply into the LCM equation.

GCF(8521,8527) = 1
LCM(8521,8527) = ( 8521 × 8527) / 1
LCM(8521,8527) = 72658567 / 1
LCM(8521,8527) = 72658567

Properties of LCM 8521 and 8527

(i) The LCM of 8527 and 8521 is associative

LCM of 8521 and 8527 = LCM of 8527 and 8521

Related Least Common Multiples of 8521

Related Least Common Multiples of 8527

Frequently Asked Questions on LCM of 8521 and 8527

1. What is the LCM of 8521 and 8527?

Answer: LCM of 8521 and 8527 is 72658567.

2. What are the Factors of 8521?

Answer: Factors of 8521 are 1, 8521. There are 2 integers that are factors of 8521. The greatest factor of 8521 is 8521.

3. What are the Factors of 8527?

Answer: Factors of 8527 are 1, 8527. There are 2 integers that are factors of 8527. The greatest factor of 8527 is 8527.

4. How to Find the LCM of 8521 and 8527?

Answer:

Least Common Multiple of 8521 and 8527 = 72658567

Step 1: Find the prime factorization of 8521

8521 = 8521

Step 2: Find the prime factorization of 8527

8527 = 8527

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

LCM = 72658567 = 8521 x 8527

Step 4: Therefore, the least common multiple of 8521 and 8527 is 72658567.