Least Common Multiple of 8719 and 8723

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 8723 the smallest integer that is 76055837 that is divisible by both numbers.

Least Common Multiple (LCM) of 8719 and 8723 is 76055837.

LCM(8719,8723) = 76055837

LCM of 8719 and 8723

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

LCM of:
and

Least Common Multiple of 8719 and 8723

LCM of 8719 and 8723 is 76055837

Least common multiple can be found by multiplying the highest exponent prime factors of 8719 and 8723. First we will calculate the prime factors of 8719 and 8723.

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 8723


11 8723
13 793
61 61
1

Prime factors of 8723 are 11, 13,61. Prime factorization of 8723 in exponential form is:

8723 = 111×131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 8719 and 8723.

LCM(8719,8723) = 111×131×611×87191
LCM(8719,8723) = 76055837

Factors of 8719

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

1, 8719

Factors of 8723

List of positive integer factors of 8723 that divides 8723 without a remainder.

1, 11, 13, 61, 143, 671, 793, 8723

Least Common Multiple of 8719 and 8723 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 8723, than apply into the LCM equation.

GCF(8719,8723) = 1
LCM(8719,8723) = ( 8719 × 8723) / 1
LCM(8719,8723) = 76055837 / 1
LCM(8719,8723) = 76055837

Properties of LCM 8719 and 8723

(i) The LCM of 8723 and 8719 is associative

LCM of 8719 and 8723 = LCM of 8723 and 8719

Related Least Common Multiples of 8719

Related Least Common Multiples of 8723

Frequently Asked Questions on LCM of 8719 and 8723

1. What is the LCM of 8719 and 8723?

Answer: LCM of 8719 and 8723 is 76055837.

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 8723?

Answer: Factors of 8723 are 1, 11, 13, 61, 143, 671, 793, 8723. There are 8 integers that are factors of 8723. The greatest factor of 8723 is 8723.

4. How to Find the LCM of 8719 and 8723?

Answer:

Least Common Multiple of 8719 and 8723 = 76055837

Step 1: Find the prime factorization of 8719

8719 = 8719

Step 2: Find the prime factorization of 8723

8723 = 11 x 13 x 61

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

LCM = 76055837 = 11 x 13 x 61 x 8719

Step 4: Therefore, the least common multiple of 8719 and 8723 is 76055837.