Least Common Multiple of 717 and 719

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 719 the smallest integer that is 515523 that is divisible by both numbers.

Least Common Multiple (LCM) of 717 and 719 is 515523.

LCM(717,719) = 515523

LCM of 717 and 719

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

LCM of:
and

Least Common Multiple of 717 and 719

LCM of 717 and 719 is 515523

Least common multiple can be found by multiplying the highest exponent prime factors of 717 and 719. First we will calculate the prime factors of 717 and 719.

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 719


719 719
1

Prime factors of 719 are 719. Prime factorization of 719 in exponential form is:

719 = 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 717 and 719.

LCM(717,719) = 31×2391×7191
LCM(717,719) = 515523

Factors of 717

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

1, 3, 239, 717

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1, 719

Least Common Multiple of 717 and 719 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 719, than apply into the LCM equation.

GCF(717,719) = 1
LCM(717,719) = ( 717 × 719) / 1
LCM(717,719) = 515523 / 1
LCM(717,719) = 515523

Properties of LCM 717 and 719

(i) The LCM of 719 and 717 is associative

LCM of 717 and 719 = LCM of 719 and 717

Related Least Common Multiples of 717

Related Least Common Multiples of 719

Frequently Asked Questions on LCM of 717 and 719

1. What is the LCM of 717 and 719?

Answer: LCM of 717 and 719 is 515523.

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 719?

Answer: Factors of 719 are 1, 719. There are 2 integers that are factors of 719. The greatest factor of 719 is 719.

4. How to Find the LCM of 717 and 719?

Answer:

Least Common Multiple of 717 and 719 = 515523

Step 1: Find the prime factorization of 717

717 = 3 x 239

Step 2: Find the prime factorization of 719

719 = 719

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

LCM = 515523 = 3 x 239 x 719

Step 4: Therefore, the least common multiple of 717 and 719 is 515523.