Least Common Multiple of 8719 and 8721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8719 and 8721 the smallest integer that is 76038399 that is divisible by both numbers.

Least Common Multiple (LCM) of 8719 and 8721 is 76038399.

LCM(8719,8721) = 76038399

LCM of 8719 and 8721

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

LCM of:
and

Least Common Multiple of 8719 and 8721

LCM of 8719 and 8721 is 76038399

Least common multiple can be found by multiplying the highest exponent prime factors of 8719 and 8721. First we will calculate the prime factors of 8719 and 8721.

Prime Factorization of 8719


8719 8719
1

Prime factors of 8719 are 8719. Prime factorization of 8719 in exponential form is:

8719 = 87191

Prime Factorization of 8721


3 8721
3 2907
3 969
17 323
19 19
1

Prime factors of 8721 are 3, 17,19. Prime factorization of 8721 in exponential form is:

8721 = 33×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 8719 and 8721.

LCM(8719,8721) = 33×171×191×87191
LCM(8719,8721) = 76038399

Factors of 8719

List of positive integer factors of 8719 that divides 8719 without a remainder.

1, 8719

Factors of 8721

List of positive integer factors of 8721 that divides 8721 without a remainder.

1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907, 8721

Least Common Multiple of 8719 and 8721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8719 and 8721, than apply into the LCM equation.

GCF(8719,8721) = 1
LCM(8719,8721) = ( 8719 × 8721) / 1
LCM(8719,8721) = 76038399 / 1
LCM(8719,8721) = 76038399

Properties of LCM 8719 and 8721

(i) The LCM of 8721 and 8719 is associative

LCM of 8719 and 8721 = LCM of 8721 and 8719

Related Least Common Multiples of 8719

Related Least Common Multiples of 8721

Frequently Asked Questions on LCM of 8719 and 8721

1. What is the LCM of 8719 and 8721?

Answer: LCM of 8719 and 8721 is 76038399.

2. What are the Factors of 8719?

Answer: Factors of 8719 are 1, 8719. There are 2 integers that are factors of 8719. The greatest factor of 8719 is 8719.

3. What are the Factors of 8721?

Answer: Factors of 8721 are 1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907, 8721. There are 16 integers that are factors of 8721. The greatest factor of 8721 is 8721.

4. How to Find the LCM of 8719 and 8721?

Answer:

Least Common Multiple of 8719 and 8721 = 76038399

Step 1: Find the prime factorization of 8719

8719 = 8719

Step 2: Find the prime factorization of 8721

8721 = 3 x 3 x 3 x 17 x 19

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

LCM = 76038399 = 3 x 3 x 3 x 17 x 19 x 8719

Step 4: Therefore, the least common multiple of 8719 and 8721 is 76038399.