Least Common Multiple of 717 and 718

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 718 the smallest integer that is 514806 that is divisible by both numbers.

Least Common Multiple (LCM) of 717 and 718 is 514806.

LCM(717,718) = 514806

LCM of 717 and 718

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

LCM of:
and

Least Common Multiple of 717 and 718

LCM of 717 and 718 is 514806

Least common multiple can be found by multiplying the highest exponent prime factors of 717 and 718. First we will calculate the prime factors of 717 and 718.

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 718


2 718
359 359
1

Prime factors of 718 are 2,359. Prime factorization of 718 in exponential form is:

718 = 21×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 717 and 718.

LCM(717,718) = 21×31×2391×3591
LCM(717,718) = 514806

Factors of 717

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

1, 3, 239, 717

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Least Common Multiple of 717 and 718 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 718, than apply into the LCM equation.

GCF(717,718) = 1
LCM(717,718) = ( 717 × 718) / 1
LCM(717,718) = 514806 / 1
LCM(717,718) = 514806

Properties of LCM 717 and 718

(i) The LCM of 718 and 717 is associative

LCM of 717 and 718 = LCM of 718 and 717

Related Least Common Multiples of 717

Related Least Common Multiples of 718

Frequently Asked Questions on LCM of 717 and 718

1. What is the LCM of 717 and 718?

Answer: LCM of 717 and 718 is 514806.

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 718?

Answer: Factors of 718 are 1, 2, 359, 718. There are 4 integers that are factors of 718. The greatest factor of 718 is 718.

4. How to Find the LCM of 717 and 718?

Answer:

Least Common Multiple of 717 and 718 = 514806

Step 1: Find the prime factorization of 717

717 = 3 x 239

Step 2: Find the prime factorization of 718

718 = 2 x 359

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

LCM = 514806 = 2 x 3 x 239 x 359

Step 4: Therefore, the least common multiple of 717 and 718 is 514806.