Least Common Multiple of 717 and 721

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 721 the smallest integer that is 516957 that is divisible by both numbers.

Least Common Multiple (LCM) of 717 and 721 is 516957.

LCM(717,721) = 516957

LCM of 717 and 721

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

LCM of:
and

Least Common Multiple of 717 and 721

LCM of 717 and 721 is 516957

Least common multiple can be found by multiplying the highest exponent prime factors of 717 and 721. First we will calculate the prime factors of 717 and 721.

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 721


7 721
103 103
1

Prime factors of 721 are 7,103. Prime factorization of 721 in exponential form is:

721 = 71×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 717 and 721.

LCM(717,721) = 31×71×1031×2391
LCM(717,721) = 516957

Factors of 717

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

1, 3, 239, 717

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Least Common Multiple of 717 and 721 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 721, than apply into the LCM equation.

GCF(717,721) = 1
LCM(717,721) = ( 717 × 721) / 1
LCM(717,721) = 516957 / 1
LCM(717,721) = 516957

Properties of LCM 717 and 721

(i) The LCM of 721 and 717 is associative

LCM of 717 and 721 = LCM of 721 and 717

Related Least Common Multiples of 717

Related Least Common Multiples of 721

Frequently Asked Questions on LCM of 717 and 721

1. What is the LCM of 717 and 721?

Answer: LCM of 717 and 721 is 516957.

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 721?

Answer: Factors of 721 are 1, 7, 103, 721. There are 4 integers that are factors of 721. The greatest factor of 721 is 721.

4. How to Find the LCM of 717 and 721?

Answer:

Least Common Multiple of 717 and 721 = 516957

Step 1: Find the prime factorization of 717

717 = 3 x 239

Step 2: Find the prime factorization of 721

721 = 7 x 103

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

LCM = 516957 = 3 x 7 x 103 x 239

Step 4: Therefore, the least common multiple of 717 and 721 is 516957.