Least Common Multiple of 8731 and 8737

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 8737 the smallest integer that is 76282747 that is divisible by both numbers.

Least Common Multiple (LCM) of 8731 and 8737 is 76282747.

LCM(8731,8737) = 76282747

LCM of 8731 and 8737

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

LCM of:
and

Least Common Multiple of 8731 and 8737

LCM of 8731 and 8737 is 76282747

Least common multiple can be found by multiplying the highest exponent prime factors of 8731 and 8737. First we will calculate the prime factors of 8731 and 8737.

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 8737


8737 8737
1

Prime factors of 8737 are 8737. Prime factorization of 8737 in exponential form is:

8737 = 87371

Now multiplying the highest exponent prime factors to calculate the LCM of 8731 and 8737.

LCM(8731,8737) = 87311×87371
LCM(8731,8737) = 76282747

Factors of 8731

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

1, 8731

Factors of 8737

List of positive integer factors of 8737 that divides 8737 without a remainder.

1, 8737

Least Common Multiple of 8731 and 8737 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 8737, than apply into the LCM equation.

GCF(8731,8737) = 1
LCM(8731,8737) = ( 8731 × 8737) / 1
LCM(8731,8737) = 76282747 / 1
LCM(8731,8737) = 76282747

Properties of LCM 8731 and 8737

(i) The LCM of 8737 and 8731 is associative

LCM of 8731 and 8737 = LCM of 8737 and 8731

Related Least Common Multiples of 8731

Related Least Common Multiples of 8737

Frequently Asked Questions on LCM of 8731 and 8737

1. What is the LCM of 8731 and 8737?

Answer: LCM of 8731 and 8737 is 76282747.

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 8737?

Answer: Factors of 8737 are 1, 8737. There are 2 integers that are factors of 8737. The greatest factor of 8737 is 8737.

4. How to Find the LCM of 8731 and 8737?

Answer:

Least Common Multiple of 8731 and 8737 = 76282747

Step 1: Find the prime factorization of 8731

8731 = 8731

Step 2: Find the prime factorization of 8737

8737 = 8737

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

LCM = 76282747 = 8731 x 8737

Step 4: Therefore, the least common multiple of 8731 and 8737 is 76282747.