Least Common Multiple of 710 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 710 and 717 the smallest integer that is 509070 that is divisible by both numbers.

Least Common Multiple (LCM) of 710 and 717 is 509070.

LCM(710,717) = 509070

LCM of 710 and 717

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

LCM of:
and

Least Common Multiple of 710 and 717

LCM of 710 and 717 is 509070

Least common multiple can be found by multiplying the highest exponent prime factors of 710 and 717. First we will calculate the prime factors of 710 and 717.

Prime Factorization of 710


2 710
5 355
71 71
1

Prime factors of 710 are 2, 5,71. Prime factorization of 710 in exponential form is:

710 = 21×51×711

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 710 and 717.

LCM(710,717) = 21×31×51×711×2391
LCM(710,717) = 509070

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Factors of 717

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

1, 3, 239, 717

Least Common Multiple of 710 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 710 and 717, than apply into the LCM equation.

GCF(710,717) = 1
LCM(710,717) = ( 710 × 717) / 1
LCM(710,717) = 509070 / 1
LCM(710,717) = 509070

Properties of LCM 710 and 717

(i) The LCM of 717 and 710 is associative

LCM of 710 and 717 = LCM of 717 and 710

Related Least Common Multiples of 710

Related Least Common Multiples of 717

Frequently Asked Questions on LCM of 710 and 717

1. What is the LCM of 710 and 717?

Answer: LCM of 710 and 717 is 509070.

2. What are the Factors of 710?

Answer: Factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710. There are 8 integers that are factors of 710. The greatest factor of 710 is 710.

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 710 and 717?

Answer:

Least Common Multiple of 710 and 717 = 509070

Step 1: Find the prime factorization of 710

710 = 2 x 5 x 71

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 = 509070 = 2 x 3 x 5 x 71 x 239

Step 4: Therefore, the least common multiple of 710 and 717 is 509070.