Least Common Multiple of 8718 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 8718 and 8723 the smallest integer that is 76047114 that is divisible by both numbers.

Least Common Multiple (LCM) of 8718 and 8723 is 76047114.

LCM(8718,8723) = 76047114

LCM of 8718 and 8723

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

LCM of:
and

Least Common Multiple of 8718 and 8723

LCM of 8718 and 8723 is 76047114

Least common multiple can be found by multiplying the highest exponent prime factors of 8718 and 8723. First we will calculate the prime factors of 8718 and 8723.

Prime Factorization of 8718


2 8718
3 4359
1453 1453
1

Prime factors of 8718 are 2, 3,1453. Prime factorization of 8718 in exponential form is:

8718 = 21×31×14531

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 8718 and 8723.

LCM(8718,8723) = 21×31×111×131×611×14531
LCM(8718,8723) = 76047114

Factors of 8718

List of positive integer factors of 8718 that divides 8718 without a remainder.

1, 2, 3, 6, 1453, 2906, 4359, 8718

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 8718 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 8718 and 8723, than apply into the LCM equation.

GCF(8718,8723) = 1
LCM(8718,8723) = ( 8718 × 8723) / 1
LCM(8718,8723) = 76047114 / 1
LCM(8718,8723) = 76047114

Properties of LCM 8718 and 8723

(i) The LCM of 8723 and 8718 is associative

LCM of 8718 and 8723 = LCM of 8723 and 8718

Related Least Common Multiples of 8718

Related Least Common Multiples of 8723

Frequently Asked Questions on LCM of 8718 and 8723

1. What is the LCM of 8718 and 8723?

Answer: LCM of 8718 and 8723 is 76047114.

2. What are the Factors of 8718?

Answer: Factors of 8718 are 1, 2, 3, 6, 1453, 2906, 4359, 8718. There are 8 integers that are factors of 8718. The greatest factor of 8718 is 8718.

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 8718 and 8723?

Answer:

Least Common Multiple of 8718 and 8723 = 76047114

Step 1: Find the prime factorization of 8718

8718 = 2 x 3 x 1453

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 = 76047114 = 2 x 3 x 11 x 13 x 61 x 1453

Step 4: Therefore, the least common multiple of 8718 and 8723 is 76047114.