Least Common Multiple of 8712 and 8717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8712 and 8717 the smallest integer that is 75942504 that is divisible by both numbers.

Least Common Multiple (LCM) of 8712 and 8717 is 75942504.

LCM(8712,8717) = 75942504

LCM of 8712 and 8717

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

LCM of:
and

Least Common Multiple of 8712 and 8717

LCM of 8712 and 8717 is 75942504

Least common multiple can be found by multiplying the highest exponent prime factors of 8712 and 8717. First we will calculate the prime factors of 8712 and 8717.

Prime Factorization of 8712


2 8712
2 4356
2 2178
3 1089
3 363
11 121
11 11
1

Prime factors of 8712 are 2, 3,11. Prime factorization of 8712 in exponential form is:

8712 = 23×32×112

Prime Factorization of 8717


23 8717
379 379
1

Prime factors of 8717 are 23,379. Prime factorization of 8717 in exponential form is:

8717 = 231×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 8712 and 8717.

LCM(8712,8717) = 23×32×112×231×3791
LCM(8712,8717) = 75942504

Factors of 8712

List of positive integer factors of 8712 that divides 8712 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712

Factors of 8717

List of positive integer factors of 8717 that divides 8717 without a remainder.

1, 23, 379, 8717

Least Common Multiple of 8712 and 8717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8712 and 8717, than apply into the LCM equation.

GCF(8712,8717) = 1
LCM(8712,8717) = ( 8712 × 8717) / 1
LCM(8712,8717) = 75942504 / 1
LCM(8712,8717) = 75942504

Properties of LCM 8712 and 8717

(i) The LCM of 8717 and 8712 is associative

LCM of 8712 and 8717 = LCM of 8717 and 8712

Related Least Common Multiples of 8712

Related Least Common Multiples of 8717

Frequently Asked Questions on LCM of 8712 and 8717

1. What is the LCM of 8712 and 8717?

Answer: LCM of 8712 and 8717 is 75942504.

2. What are the Factors of 8712?

Answer: Factors of 8712 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712. There are 36 integers that are factors of 8712. The greatest factor of 8712 is 8712.

3. What are the Factors of 8717?

Answer: Factors of 8717 are 1, 23, 379, 8717. There are 4 integers that are factors of 8717. The greatest factor of 8717 is 8717.

4. How to Find the LCM of 8712 and 8717?

Answer:

Least Common Multiple of 8712 and 8717 = 75942504

Step 1: Find the prime factorization of 8712

8712 = 2 x 2 x 2 x 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 8717

8717 = 23 x 379

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

LCM = 75942504 = 2 x 2 x 2 x 3 x 3 x 11 x 11 x 23 x 379

Step 4: Therefore, the least common multiple of 8712 and 8717 is 75942504.