Least Common Multiple of 8713 and 8721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8713 and 8721 the smallest integer that is 75986073 that is divisible by both numbers.

Least Common Multiple (LCM) of 8713 and 8721 is 75986073.

LCM(8713,8721) = 75986073

LCM of 8713 and 8721

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

LCM of:
and

Least Common Multiple of 8713 and 8721

LCM of 8713 and 8721 is 75986073

Least common multiple can be found by multiplying the highest exponent prime factors of 8713 and 8721. First we will calculate the prime factors of 8713 and 8721.

Prime Factorization of 8713


8713 8713
1

Prime factors of 8713 are 8713. Prime factorization of 8713 in exponential form is:

8713 = 87131

Prime Factorization of 8721


3 8721
3 2907
3 969
17 323
19 19
1

Prime factors of 8721 are 3, 17,19. Prime factorization of 8721 in exponential form is:

8721 = 33×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 8713 and 8721.

LCM(8713,8721) = 33×171×191×87131
LCM(8713,8721) = 75986073

Factors of 8713

List of positive integer factors of 8713 that divides 8713 without a remainder.

1, 8713

Factors of 8721

List of positive integer factors of 8721 that divides 8721 without a remainder.

1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907, 8721

Least Common Multiple of 8713 and 8721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8713 and 8721, than apply into the LCM equation.

GCF(8713,8721) = 1
LCM(8713,8721) = ( 8713 × 8721) / 1
LCM(8713,8721) = 75986073 / 1
LCM(8713,8721) = 75986073

Properties of LCM 8713 and 8721

(i) The LCM of 8721 and 8713 is associative

LCM of 8713 and 8721 = LCM of 8721 and 8713

Related Least Common Multiples of 8713

Related Least Common Multiples of 8721

Frequently Asked Questions on LCM of 8713 and 8721

1. What is the LCM of 8713 and 8721?

Answer: LCM of 8713 and 8721 is 75986073.

2. What are the Factors of 8713?

Answer: Factors of 8713 are 1, 8713. There are 2 integers that are factors of 8713. The greatest factor of 8713 is 8713.

3. What are the Factors of 8721?

Answer: Factors of 8721 are 1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907, 8721. There are 16 integers that are factors of 8721. The greatest factor of 8721 is 8721.

4. How to Find the LCM of 8713 and 8721?

Answer:

Least Common Multiple of 8713 and 8721 = 75986073

Step 1: Find the prime factorization of 8713

8713 = 8713

Step 2: Find the prime factorization of 8721

8721 = 3 x 3 x 3 x 17 x 19

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

LCM = 75986073 = 3 x 3 x 3 x 17 x 19 x 8713

Step 4: Therefore, the least common multiple of 8713 and 8721 is 75986073.