Least Common Multiple of 8712 and 8719

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 8719 the smallest integer that is 75959928 that is divisible by both numbers.

Least Common Multiple (LCM) of 8712 and 8719 is 75959928.

LCM(8712,8719) = 75959928

LCM of 8712 and 8719

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

LCM of:
and

Least Common Multiple of 8712 and 8719

LCM of 8712 and 8719 is 75959928

Least common multiple can be found by multiplying the highest exponent prime factors of 8712 and 8719. First we will calculate the prime factors of 8712 and 8719.

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 8719


8719 8719
1

Prime factors of 8719 are 8719. Prime factorization of 8719 in exponential form is:

8719 = 87191

Now multiplying the highest exponent prime factors to calculate the LCM of 8712 and 8719.

LCM(8712,8719) = 23×32×112×87191
LCM(8712,8719) = 75959928

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 8719

List of positive integer factors of 8719 that divides 8719 without a remainder.

1, 8719

Least Common Multiple of 8712 and 8719 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 8719, than apply into the LCM equation.

GCF(8712,8719) = 1
LCM(8712,8719) = ( 8712 × 8719) / 1
LCM(8712,8719) = 75959928 / 1
LCM(8712,8719) = 75959928

Properties of LCM 8712 and 8719

(i) The LCM of 8719 and 8712 is associative

LCM of 8712 and 8719 = LCM of 8719 and 8712

Related Least Common Multiples of 8712

Related Least Common Multiples of 8719

Frequently Asked Questions on LCM of 8712 and 8719

1. What is the LCM of 8712 and 8719?

Answer: LCM of 8712 and 8719 is 75959928.

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 8719?

Answer: Factors of 8719 are 1, 8719. There are 2 integers that are factors of 8719. The greatest factor of 8719 is 8719.

4. How to Find the LCM of 8712 and 8719?

Answer:

Least Common Multiple of 8712 and 8719 = 75959928

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 8719

8719 = 8719

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

LCM = 75959928 = 2 x 2 x 2 x 3 x 3 x 11 x 11 x 8719

Step 4: Therefore, the least common multiple of 8712 and 8719 is 75959928.