Least Common Multiple of 8527 and 8533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8527 and 8533 the smallest integer that is 72760891 that is divisible by both numbers.

Least Common Multiple (LCM) of 8527 and 8533 is 72760891.

LCM(8527,8533) = 72760891

LCM of 8527 and 8533

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

LCM of:
and

Least Common Multiple of 8527 and 8533

LCM of 8527 and 8533 is 72760891

Least common multiple can be found by multiplying the highest exponent prime factors of 8527 and 8533. First we will calculate the prime factors of 8527 and 8533.

Prime Factorization of 8527


8527 8527
1

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

8527 = 85271

Prime Factorization of 8533


7 8533
23 1219
53 53
1

Prime factors of 8533 are 7, 23,53. Prime factorization of 8533 in exponential form is:

8533 = 71×231×531

Now multiplying the highest exponent prime factors to calculate the LCM of 8527 and 8533.

LCM(8527,8533) = 71×231×531×85271
LCM(8527,8533) = 72760891

Factors of 8527

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

1, 8527

Factors of 8533

List of positive integer factors of 8533 that divides 8533 without a remainder.

1, 7, 23, 53, 161, 371, 1219, 8533

Least Common Multiple of 8527 and 8533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8527 and 8533, than apply into the LCM equation.

GCF(8527,8533) = 1
LCM(8527,8533) = ( 8527 × 8533) / 1
LCM(8527,8533) = 72760891 / 1
LCM(8527,8533) = 72760891

Properties of LCM 8527 and 8533

(i) The LCM of 8533 and 8527 is associative

LCM of 8527 and 8533 = LCM of 8533 and 8527

Related Least Common Multiples of 8527

Related Least Common Multiples of 8533

Frequently Asked Questions on LCM of 8527 and 8533

1. What is the LCM of 8527 and 8533?

Answer: LCM of 8527 and 8533 is 72760891.

2. 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.

3. What are the Factors of 8533?

Answer: Factors of 8533 are 1, 7, 23, 53, 161, 371, 1219, 8533. There are 8 integers that are factors of 8533. The greatest factor of 8533 is 8533.

4. How to Find the LCM of 8527 and 8533?

Answer:

Least Common Multiple of 8527 and 8533 = 72760891

Step 1: Find the prime factorization of 8527

8527 = 8527

Step 2: Find the prime factorization of 8533

8533 = 7 x 23 x 53

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

LCM = 72760891 = 7 x 23 x 53 x 8527

Step 4: Therefore, the least common multiple of 8527 and 8533 is 72760891.