Least Common Multiple of 8519 and 8520

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 8520 the smallest integer that is 72581880 that is divisible by both numbers.

Least Common Multiple (LCM) of 8519 and 8520 is 72581880.

LCM(8519,8520) = 72581880

LCM of 8519 and 8520

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

LCM of:
and

Least Common Multiple of 8519 and 8520

LCM of 8519 and 8520 is 72581880

Least common multiple can be found by multiplying the highest exponent prime factors of 8519 and 8520. First we will calculate the prime factors of 8519 and 8520.

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 8520


2 8520
2 4260
2 2130
3 1065
5 355
71 71
1

Prime factors of 8520 are 2, 3, 5,71. Prime factorization of 8520 in exponential form is:

8520 = 23×31×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8519 and 8520.

LCM(8519,8520) = 23×31×51×71×711×12171
LCM(8519,8520) = 72581880

Factors of 8519

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

1, 7, 1217, 8519

Factors of 8520

List of positive integer factors of 8520 that divides 8520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520

Least Common Multiple of 8519 and 8520 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 8520, than apply into the LCM equation.

GCF(8519,8520) = 1
LCM(8519,8520) = ( 8519 × 8520) / 1
LCM(8519,8520) = 72581880 / 1
LCM(8519,8520) = 72581880

Properties of LCM 8519 and 8520

(i) The LCM of 8520 and 8519 is associative

LCM of 8519 and 8520 = LCM of 8520 and 8519

Related Least Common Multiples of 8519

Related Least Common Multiples of 8520

Frequently Asked Questions on LCM of 8519 and 8520

1. What is the LCM of 8519 and 8520?

Answer: LCM of 8519 and 8520 is 72581880.

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 8520?

Answer: Factors of 8520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520. There are 32 integers that are factors of 8520. The greatest factor of 8520 is 8520.

4. How to Find the LCM of 8519 and 8520?

Answer:

Least Common Multiple of 8519 and 8520 = 72581880

Step 1: Find the prime factorization of 8519

8519 = 7 x 1217

Step 2: Find the prime factorization of 8520

8520 = 2 x 2 x 2 x 3 x 5 x 71

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

LCM = 72581880 = 2 x 2 x 2 x 3 x 5 x 7 x 71 x 1217

Step 4: Therefore, the least common multiple of 8519 and 8520 is 72581880.