Least Common Multiple of 716 and 717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 716 and 717 the smallest integer that is 513372 that is divisible by both numbers.

Least Common Multiple (LCM) of 716 and 717 is 513372.

LCM(716,717) = 513372

LCM of 716 and 717

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

LCM of:
and

Least Common Multiple of 716 and 717

LCM of 716 and 717 is 513372

Least common multiple can be found by multiplying the highest exponent prime factors of 716 and 717. First we will calculate the prime factors of 716 and 717.

Prime Factorization of 716


2 716
2 358
179 179
1

Prime factors of 716 are 2,179. Prime factorization of 716 in exponential form is:

716 = 22×1791

Prime Factorization of 717


3 717
239 239
1

Prime factors of 717 are 3,239. Prime factorization of 717 in exponential form is:

717 = 31×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 716 and 717.

LCM(716,717) = 22×31×1791×2391
LCM(716,717) = 513372

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Least Common Multiple of 716 and 717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 716 and 717, than apply into the LCM equation.

GCF(716,717) = 1
LCM(716,717) = ( 716 × 717) / 1
LCM(716,717) = 513372 / 1
LCM(716,717) = 513372

Properties of LCM 716 and 717

(i) The LCM of 717 and 716 is associative

LCM of 716 and 717 = LCM of 717 and 716

Related Least Common Multiples of 716

Related Least Common Multiples of 717

Frequently Asked Questions on LCM of 716 and 717

1. What is the LCM of 716 and 717?

Answer: LCM of 716 and 717 is 513372.

2. What are the Factors of 716?

Answer: Factors of 716 are 1, 2, 4, 179, 358, 716. There are 6 integers that are factors of 716. The greatest factor of 716 is 716.

3. What are the Factors of 717?

Answer: Factors of 717 are 1, 3, 239, 717. There are 4 integers that are factors of 717. The greatest factor of 717 is 717.

4. How to Find the LCM of 716 and 717?

Answer:

Least Common Multiple of 716 and 717 = 513372

Step 1: Find the prime factorization of 716

716 = 2 x 2 x 179

Step 2: Find the prime factorization of 717

717 = 3 x 239

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

LCM = 513372 = 2 x 2 x 3 x 179 x 239

Step 4: Therefore, the least common multiple of 716 and 717 is 513372.