Least Common Multiple of 711 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 711 and 717 the smallest integer that is 169929 that is divisible by both numbers.

Least Common Multiple (LCM) of 711 and 717 is 169929.

LCM(711,717) = 169929

LCM of 711 and 717

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

LCM of:
and

Least Common Multiple of 711 and 717

LCM of 711 and 717 is 169929

Least common multiple can be found by multiplying the highest exponent prime factors of 711 and 717. First we will calculate the prime factors of 711 and 717.

Prime Factorization of 711


3 711
3 237
79 79
1

Prime factors of 711 are 3,79. Prime factorization of 711 in exponential form is:

711 = 32×791

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 711 and 717.

LCM(711,717) = 32×791×2391
LCM(711,717) = 169929

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Factors of 717

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

1, 3, 239, 717

Least Common Multiple of 711 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 711 and 717, than apply into the LCM equation.

GCF(711,717) = 3
LCM(711,717) = ( 711 × 717) / 3
LCM(711,717) = 509787 / 3
LCM(711,717) = 169929

Properties of LCM 711 and 717

(i) The LCM of 717 and 711 is associative

LCM of 711 and 717 = LCM of 717 and 711

Related Least Common Multiples of 711

Related Least Common Multiples of 717

Frequently Asked Questions on LCM of 711 and 717

1. What is the LCM of 711 and 717?

Answer: LCM of 711 and 717 is 169929.

2. What are the Factors of 711?

Answer: Factors of 711 are 1, 3, 9, 79, 237, 711. There are 6 integers that are factors of 711. The greatest factor of 711 is 711.

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 711 and 717?

Answer:

Least Common Multiple of 711 and 717 = 169929

Step 1: Find the prime factorization of 711

711 = 3 x 3 x 79

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 = 169929 = 3 x 3 x 79 x 239

Step 4: Therefore, the least common multiple of 711 and 717 is 169929.