Least Common Multiple of 8519 and 8521

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 8521 the smallest integer that is 72590399 that is divisible by both numbers.

Least Common Multiple (LCM) of 8519 and 8521 is 72590399.

LCM(8519,8521) = 72590399

LCM of 8519 and 8521

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

LCM of:
and

Least Common Multiple of 8519 and 8521

LCM of 8519 and 8521 is 72590399

Least common multiple can be found by multiplying the highest exponent prime factors of 8519 and 8521. First we will calculate the prime factors of 8519 and 8521.

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 8521


8521 8521
1

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

8521 = 85211

Now multiplying the highest exponent prime factors to calculate the LCM of 8519 and 8521.

LCM(8519,8521) = 71×12171×85211
LCM(8519,8521) = 72590399

Factors of 8519

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

1, 7, 1217, 8519

Factors of 8521

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

1, 8521

Least Common Multiple of 8519 and 8521 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 8521, than apply into the LCM equation.

GCF(8519,8521) = 1
LCM(8519,8521) = ( 8519 × 8521) / 1
LCM(8519,8521) = 72590399 / 1
LCM(8519,8521) = 72590399

Properties of LCM 8519 and 8521

(i) The LCM of 8521 and 8519 is associative

LCM of 8519 and 8521 = LCM of 8521 and 8519

Related Least Common Multiples of 8519

Related Least Common Multiples of 8521

Frequently Asked Questions on LCM of 8519 and 8521

1. What is the LCM of 8519 and 8521?

Answer: LCM of 8519 and 8521 is 72590399.

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 8521?

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

4. How to Find the LCM of 8519 and 8521?

Answer:

Least Common Multiple of 8519 and 8521 = 72590399

Step 1: Find the prime factorization of 8519

8519 = 7 x 1217

Step 2: Find the prime factorization of 8521

8521 = 8521

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

LCM = 72590399 = 7 x 1217 x 8521

Step 4: Therefore, the least common multiple of 8519 and 8521 is 72590399.