Least Common Multiple of 8712 and 8714

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 8714 the smallest integer that is 37958184 that is divisible by both numbers.

Least Common Multiple (LCM) of 8712 and 8714 is 37958184.

LCM(8712,8714) = 37958184

LCM of 8712 and 8714

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

LCM of:
and

Least Common Multiple of 8712 and 8714

LCM of 8712 and 8714 is 37958184

Least common multiple can be found by multiplying the highest exponent prime factors of 8712 and 8714. First we will calculate the prime factors of 8712 and 8714.

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 8714


2 8714
4357 4357
1

Prime factors of 8714 are 2,4357. Prime factorization of 8714 in exponential form is:

8714 = 21×43571

Now multiplying the highest exponent prime factors to calculate the LCM of 8712 and 8714.

LCM(8712,8714) = 23×32×112×43571
LCM(8712,8714) = 37958184

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 8714

List of positive integer factors of 8714 that divides 8714 without a remainder.

1, 2, 4357, 8714

Least Common Multiple of 8712 and 8714 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 8714, than apply into the LCM equation.

GCF(8712,8714) = 2
LCM(8712,8714) = ( 8712 × 8714) / 2
LCM(8712,8714) = 75916368 / 2
LCM(8712,8714) = 37958184

Properties of LCM 8712 and 8714

(i) The LCM of 8714 and 8712 is associative

LCM of 8712 and 8714 = LCM of 8714 and 8712

Related Least Common Multiples of 8712

Related Least Common Multiples of 8714

Frequently Asked Questions on LCM of 8712 and 8714

1. What is the LCM of 8712 and 8714?

Answer: LCM of 8712 and 8714 is 37958184.

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 8714?

Answer: Factors of 8714 are 1, 2, 4357, 8714. There are 4 integers that are factors of 8714. The greatest factor of 8714 is 8714.

4. How to Find the LCM of 8712 and 8714?

Answer:

Least Common Multiple of 8712 and 8714 = 37958184

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 8714

8714 = 2 x 4357

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

LCM = 37958184 = 2 x 2 x 2 x 3 x 3 x 11 x 11 x 4357

Step 4: Therefore, the least common multiple of 8712 and 8714 is 37958184.