Least Common Multiple of 8727 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 8727 and 8731 the smallest integer that is 76195437 that is divisible by both numbers.

Least Common Multiple (LCM) of 8727 and 8731 is 76195437.

LCM(8727,8731) = 76195437

LCM of 8727 and 8731

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

LCM of:
and

Least Common Multiple of 8727 and 8731

LCM of 8727 and 8731 is 76195437

Least common multiple can be found by multiplying the highest exponent prime factors of 8727 and 8731. First we will calculate the prime factors of 8727 and 8731.

Prime Factorization of 8727


3 8727
2909 2909
1

Prime factors of 8727 are 3,2909. Prime factorization of 8727 in exponential form is:

8727 = 31×29091

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 8727 and 8731.

LCM(8727,8731) = 31×29091×87311
LCM(8727,8731) = 76195437

Factors of 8727

List of positive integer factors of 8727 that divides 8727 without a remainder.

1, 3, 2909, 8727

Factors of 8731

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

1, 8731

Least Common Multiple of 8727 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 8727 and 8731, than apply into the LCM equation.

GCF(8727,8731) = 1
LCM(8727,8731) = ( 8727 × 8731) / 1
LCM(8727,8731) = 76195437 / 1
LCM(8727,8731) = 76195437

Properties of LCM 8727 and 8731

(i) The LCM of 8731 and 8727 is associative

LCM of 8727 and 8731 = LCM of 8731 and 8727

Related Least Common Multiples of 8727

Related Least Common Multiples of 8731

Frequently Asked Questions on LCM of 8727 and 8731

1. What is the LCM of 8727 and 8731?

Answer: LCM of 8727 and 8731 is 76195437.

2. What are the Factors of 8727?

Answer: Factors of 8727 are 1, 3, 2909, 8727. There are 4 integers that are factors of 8727. The greatest factor of 8727 is 8727.

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 8727 and 8731?

Answer:

Least Common Multiple of 8727 and 8731 = 76195437

Step 1: Find the prime factorization of 8727

8727 = 3 x 2909

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 = 76195437 = 3 x 2909 x 8731

Step 4: Therefore, the least common multiple of 8727 and 8731 is 76195437.