Least Common Multiple of 717 and 723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 717 and 723 the smallest integer that is 172797 that is divisible by both numbers.

Least Common Multiple (LCM) of 717 and 723 is 172797.

LCM(717,723) = 172797

LCM of 717 and 723

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

LCM of:
and

Least Common Multiple of 717 and 723

LCM of 717 and 723 is 172797

Least common multiple can be found by multiplying the highest exponent prime factors of 717 and 723. First we will calculate the prime factors of 717 and 723.

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

Prime Factorization of 723


3 723
241 241
1

Prime factors of 723 are 3,241. Prime factorization of 723 in exponential form is:

723 = 31×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 717 and 723.

LCM(717,723) = 31×2391×2411
LCM(717,723) = 172797

Factors of 717

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

1, 3, 239, 717

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Least Common Multiple of 717 and 723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 717 and 723, than apply into the LCM equation.

GCF(717,723) = 3
LCM(717,723) = ( 717 × 723) / 3
LCM(717,723) = 518391 / 3
LCM(717,723) = 172797

Properties of LCM 717 and 723

(i) The LCM of 723 and 717 is associative

LCM of 717 and 723 = LCM of 723 and 717

Related Least Common Multiples of 717

Related Least Common Multiples of 723

Frequently Asked Questions on LCM of 717 and 723

1. What is the LCM of 717 and 723?

Answer: LCM of 717 and 723 is 172797.

2. 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.

3. What are the Factors of 723?

Answer: Factors of 723 are 1, 3, 241, 723. There are 4 integers that are factors of 723. The greatest factor of 723 is 723.

4. How to Find the LCM of 717 and 723?

Answer:

Least Common Multiple of 717 and 723 = 172797

Step 1: Find the prime factorization of 717

717 = 3 x 239

Step 2: Find the prime factorization of 723

723 = 3 x 241

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

LCM = 172797 = 3 x 239 x 241

Step 4: Therefore, the least common multiple of 717 and 723 is 172797.