Least Common Multiple of 8711 and 8718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8711 and 8718 the smallest integer that is 75942498 that is divisible by both numbers.

Least Common Multiple (LCM) of 8711 and 8718 is 75942498.

LCM(8711,8718) = 75942498

LCM of 8711 and 8718

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

LCM of:
and

Least Common Multiple of 8711 and 8718

LCM of 8711 and 8718 is 75942498

Least common multiple can be found by multiplying the highest exponent prime factors of 8711 and 8718. First we will calculate the prime factors of 8711 and 8718.

Prime Factorization of 8711


31 8711
281 281
1

Prime factors of 8711 are 31,281. Prime factorization of 8711 in exponential form is:

8711 = 311×2811

Prime Factorization of 8718


2 8718
3 4359
1453 1453
1

Prime factors of 8718 are 2, 3,1453. Prime factorization of 8718 in exponential form is:

8718 = 21×31×14531

Now multiplying the highest exponent prime factors to calculate the LCM of 8711 and 8718.

LCM(8711,8718) = 21×31×311×2811×14531
LCM(8711,8718) = 75942498

Factors of 8711

List of positive integer factors of 8711 that divides 8711 without a remainder.

1, 31, 281, 8711

Factors of 8718

List of positive integer factors of 8718 that divides 8718 without a remainder.

1, 2, 3, 6, 1453, 2906, 4359, 8718

Least Common Multiple of 8711 and 8718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8711 and 8718, than apply into the LCM equation.

GCF(8711,8718) = 1
LCM(8711,8718) = ( 8711 × 8718) / 1
LCM(8711,8718) = 75942498 / 1
LCM(8711,8718) = 75942498

Properties of LCM 8711 and 8718

(i) The LCM of 8718 and 8711 is associative

LCM of 8711 and 8718 = LCM of 8718 and 8711

Related Least Common Multiples of 8711

Related Least Common Multiples of 8718

Frequently Asked Questions on LCM of 8711 and 8718

1. What is the LCM of 8711 and 8718?

Answer: LCM of 8711 and 8718 is 75942498.

2. What are the Factors of 8711?

Answer: Factors of 8711 are 1, 31, 281, 8711. There are 4 integers that are factors of 8711. The greatest factor of 8711 is 8711.

3. What are the Factors of 8718?

Answer: Factors of 8718 are 1, 2, 3, 6, 1453, 2906, 4359, 8718. There are 8 integers that are factors of 8718. The greatest factor of 8718 is 8718.

4. How to Find the LCM of 8711 and 8718?

Answer:

Least Common Multiple of 8711 and 8718 = 75942498

Step 1: Find the prime factorization of 8711

8711 = 31 x 281

Step 2: Find the prime factorization of 8718

8718 = 2 x 3 x 1453

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

LCM = 75942498 = 2 x 3 x 31 x 281 x 1453

Step 4: Therefore, the least common multiple of 8711 and 8718 is 75942498.