Least Common Multiple of 8731 and 8735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8731 and 8735 the smallest integer that is 76265285 that is divisible by both numbers.

Least Common Multiple (LCM) of 8731 and 8735 is 76265285.

LCM(8731,8735) = 76265285

LCM of 8731 and 8735

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

LCM of:
and

Least Common Multiple of 8731 and 8735

LCM of 8731 and 8735 is 76265285

Least common multiple can be found by multiplying the highest exponent prime factors of 8731 and 8735. First we will calculate the prime factors of 8731 and 8735.

Prime Factorization of 8731


8731 8731
1

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

8731 = 87311

Prime Factorization of 8735


5 8735
1747 1747
1

Prime factors of 8735 are 5,1747. Prime factorization of 8735 in exponential form is:

8735 = 51×17471

Now multiplying the highest exponent prime factors to calculate the LCM of 8731 and 8735.

LCM(8731,8735) = 51×17471×87311
LCM(8731,8735) = 76265285

Factors of 8731

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

1, 8731

Factors of 8735

List of positive integer factors of 8735 that divides 8735 without a remainder.

1, 5, 1747, 8735

Least Common Multiple of 8731 and 8735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8731 and 8735, than apply into the LCM equation.

GCF(8731,8735) = 1
LCM(8731,8735) = ( 8731 × 8735) / 1
LCM(8731,8735) = 76265285 / 1
LCM(8731,8735) = 76265285

Properties of LCM 8731 and 8735

(i) The LCM of 8735 and 8731 is associative

LCM of 8731 and 8735 = LCM of 8735 and 8731

Related Least Common Multiples of 8731

Related Least Common Multiples of 8735

Frequently Asked Questions on LCM of 8731 and 8735

1. What is the LCM of 8731 and 8735?

Answer: LCM of 8731 and 8735 is 76265285.

2. 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.

3. What are the Factors of 8735?

Answer: Factors of 8735 are 1, 5, 1747, 8735. There are 4 integers that are factors of 8735. The greatest factor of 8735 is 8735.

4. How to Find the LCM of 8731 and 8735?

Answer:

Least Common Multiple of 8731 and 8735 = 76265285

Step 1: Find the prime factorization of 8731

8731 = 8731

Step 2: Find the prime factorization of 8735

8735 = 5 x 1747

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

LCM = 76265285 = 5 x 1747 x 8731

Step 4: Therefore, the least common multiple of 8731 and 8735 is 76265285.