Least Common Multiple of 8519 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 8519 and 8527 the smallest integer that is 72641513 that is divisible by both numbers.

Least Common Multiple (LCM) of 8519 and 8527 is 72641513.

LCM(8519,8527) = 72641513

LCM of 8519 and 8527

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

LCM of:
and

Least Common Multiple of 8519 and 8527

LCM of 8519 and 8527 is 72641513

Least common multiple can be found by multiplying the highest exponent prime factors of 8519 and 8527. First we will calculate the prime factors of 8519 and 8527.

Prime Factorization of 8519


7 8519
1217 1217
1

Prime factors of 8519 are 7,1217. Prime factorization of 8519 in exponential form is:

8519 = 71×12171

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 8519 and 8527.

LCM(8519,8527) = 71×12171×85271
LCM(8519,8527) = 72641513

Factors of 8519

List of positive integer factors of 8519 that divides 8519 without a remainder.

1, 7, 1217, 8519

Factors of 8527

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

1, 8527

Least Common Multiple of 8519 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 8519 and 8527, than apply into the LCM equation.

GCF(8519,8527) = 1
LCM(8519,8527) = ( 8519 × 8527) / 1
LCM(8519,8527) = 72641513 / 1
LCM(8519,8527) = 72641513

Properties of LCM 8519 and 8527

(i) The LCM of 8527 and 8519 is associative

LCM of 8519 and 8527 = LCM of 8527 and 8519

Related Least Common Multiples of 8519

Related Least Common Multiples of 8527

Frequently Asked Questions on LCM of 8519 and 8527

1. What is the LCM of 8519 and 8527?

Answer: LCM of 8519 and 8527 is 72641513.

2. What are the Factors of 8519?

Answer: Factors of 8519 are 1, 7, 1217, 8519. There are 4 integers that are factors of 8519. The greatest factor of 8519 is 8519.

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 8519 and 8527?

Answer:

Least Common Multiple of 8519 and 8527 = 72641513

Step 1: Find the prime factorization of 8519

8519 = 7 x 1217

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 = 72641513 = 7 x 1217 x 8527

Step 4: Therefore, the least common multiple of 8519 and 8527 is 72641513.