Least Common Multiple of 8723 and 8731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8723 and 8731 the smallest integer that is 76160513 that is divisible by both numbers.

Least Common Multiple (LCM) of 8723 and 8731 is 76160513.

LCM(8723,8731) = 76160513

LCM of 8723 and 8731

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

LCM of:
and

Least Common Multiple of 8723 and 8731

LCM of 8723 and 8731 is 76160513

Least common multiple can be found by multiplying the highest exponent prime factors of 8723 and 8731. First we will calculate the prime factors of 8723 and 8731.

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

Prime Factorization of 8731


8731 8731
1

Prime factors of 8731 are 8731. Prime factorization of 8731 in exponential form is:

8731 = 87311

Now multiplying the highest exponent prime factors to calculate the LCM of 8723 and 8731.

LCM(8723,8731) = 111×131×611×87311
LCM(8723,8731) = 76160513

Factors of 8723

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

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

Factors of 8731

List of positive integer factors of 8731 that divides 8731 without a remainder.

1, 8731

Least Common Multiple of 8723 and 8731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8723 and 8731, than apply into the LCM equation.

GCF(8723,8731) = 1
LCM(8723,8731) = ( 8723 × 8731) / 1
LCM(8723,8731) = 76160513 / 1
LCM(8723,8731) = 76160513

Properties of LCM 8723 and 8731

(i) The LCM of 8731 and 8723 is associative

LCM of 8723 and 8731 = LCM of 8731 and 8723

Related Least Common Multiples of 8723

Related Least Common Multiples of 8731

Frequently Asked Questions on LCM of 8723 and 8731

1. What is the LCM of 8723 and 8731?

Answer: LCM of 8723 and 8731 is 76160513.

2. 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.

3. What are the Factors of 8731?

Answer: Factors of 8731 are 1, 8731. There are 2 integers that are factors of 8731. The greatest factor of 8731 is 8731.

4. How to Find the LCM of 8723 and 8731?

Answer:

Least Common Multiple of 8723 and 8731 = 76160513

Step 1: Find the prime factorization of 8723

8723 = 11 x 13 x 61

Step 2: Find the prime factorization of 8731

8731 = 8731

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

LCM = 76160513 = 11 x 13 x 61 x 8731

Step 4: Therefore, the least common multiple of 8723 and 8731 is 76160513.