Least Common Multiple of 714 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 714 and 717 the smallest integer that is 170646 that is divisible by both numbers.

Least Common Multiple (LCM) of 714 and 717 is 170646.

LCM(714,717) = 170646

LCM of 714 and 717

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

LCM of:
and

Least Common Multiple of 714 and 717

LCM of 714 and 717 is 170646

Least common multiple can be found by multiplying the highest exponent prime factors of 714 and 717. First we will calculate the prime factors of 714 and 717.

Prime Factorization of 714


2 714
3 357
7 119
17 17
1

Prime factors of 714 are 2, 3, 7,17. Prime factorization of 714 in exponential form is:

714 = 21×31×71×171

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 714 and 717.

LCM(714,717) = 21×31×71×171×2391
LCM(714,717) = 170646

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Factors of 717

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

1, 3, 239, 717

Least Common Multiple of 714 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 714 and 717, than apply into the LCM equation.

GCF(714,717) = 3
LCM(714,717) = ( 714 × 717) / 3
LCM(714,717) = 511938 / 3
LCM(714,717) = 170646

Properties of LCM 714 and 717

(i) The LCM of 717 and 714 is associative

LCM of 714 and 717 = LCM of 717 and 714

Related Least Common Multiples of 714

Related Least Common Multiples of 717

Frequently Asked Questions on LCM of 714 and 717

1. What is the LCM of 714 and 717?

Answer: LCM of 714 and 717 is 170646.

2. What are the Factors of 714?

Answer: Factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714. There are 16 integers that are factors of 714. The greatest factor of 714 is 714.

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 714 and 717?

Answer:

Least Common Multiple of 714 and 717 = 170646

Step 1: Find the prime factorization of 714

714 = 2 x 3 x 7 x 17

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 = 170646 = 2 x 3 x 7 x 17 x 239

Step 4: Therefore, the least common multiple of 714 and 717 is 170646.