Least Common Multiple of 8712 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 8712 and 8718 the smallest integer that is 12658536 that is divisible by both numbers.

Least Common Multiple (LCM) of 8712 and 8718 is 12658536.

LCM(8712,8718) = 12658536

LCM of 8712 and 8718

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

LCM of:
and

Least Common Multiple of 8712 and 8718

LCM of 8712 and 8718 is 12658536

Least common multiple can be found by multiplying the highest exponent prime factors of 8712 and 8718. First we will calculate the prime factors of 8712 and 8718.

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 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 8712 and 8718.

LCM(8712,8718) = 23×32×112×14531
LCM(8712,8718) = 12658536

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 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 8712 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 8712 and 8718, than apply into the LCM equation.

GCF(8712,8718) = 6
LCM(8712,8718) = ( 8712 × 8718) / 6
LCM(8712,8718) = 75951216 / 6
LCM(8712,8718) = 12658536

Properties of LCM 8712 and 8718

(i) The LCM of 8718 and 8712 is associative

LCM of 8712 and 8718 = LCM of 8718 and 8712

Related Least Common Multiples of 8712

Related Least Common Multiples of 8718

Frequently Asked Questions on LCM of 8712 and 8718

1. What is the LCM of 8712 and 8718?

Answer: LCM of 8712 and 8718 is 12658536.

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 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 8712 and 8718?

Answer:

Least Common Multiple of 8712 and 8718 = 12658536

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 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 = 12658536 = 2 x 2 x 2 x 3 x 3 x 11 x 11 x 1453

Step 4: Therefore, the least common multiple of 8712 and 8718 is 12658536.