Least Common Multiple of 715 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 715 and 717 the smallest integer that is 512655 that is divisible by both numbers.

Least Common Multiple (LCM) of 715 and 717 is 512655.

LCM(715,717) = 512655

LCM of 715 and 717

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

LCM of:
and

Least Common Multiple of 715 and 717

LCM of 715 and 717 is 512655

Least common multiple can be found by multiplying the highest exponent prime factors of 715 and 717. First we will calculate the prime factors of 715 and 717.

Prime Factorization of 715


5 715
11 143
13 13
1

Prime factors of 715 are 5, 11,13. Prime factorization of 715 in exponential form is:

715 = 51×111×131

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 715 and 717.

LCM(715,717) = 31×51×111×131×2391
LCM(715,717) = 512655

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Factors of 717

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

1, 3, 239, 717

Least Common Multiple of 715 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 715 and 717, than apply into the LCM equation.

GCF(715,717) = 1
LCM(715,717) = ( 715 × 717) / 1
LCM(715,717) = 512655 / 1
LCM(715,717) = 512655

Properties of LCM 715 and 717

(i) The LCM of 717 and 715 is associative

LCM of 715 and 717 = LCM of 717 and 715

Related Least Common Multiples of 715

Related Least Common Multiples of 717

Frequently Asked Questions on LCM of 715 and 717

1. What is the LCM of 715 and 717?

Answer: LCM of 715 and 717 is 512655.

2. What are the Factors of 715?

Answer: Factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715. There are 8 integers that are factors of 715. The greatest factor of 715 is 715.

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 715 and 717?

Answer:

Least Common Multiple of 715 and 717 = 512655

Step 1: Find the prime factorization of 715

715 = 5 x 11 x 13

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 = 512655 = 3 x 5 x 11 x 13 x 239

Step 4: Therefore, the least common multiple of 715 and 717 is 512655.