Least Common Multiple of 717 and 722

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 722 the smallest integer that is 517674 that is divisible by both numbers.

Least Common Multiple (LCM) of 717 and 722 is 517674.

LCM(717,722) = 517674

LCM of 717 and 722

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

LCM of:
and

Least Common Multiple of 717 and 722

LCM of 717 and 722 is 517674

Least common multiple can be found by multiplying the highest exponent prime factors of 717 and 722. First we will calculate the prime factors of 717 and 722.

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 722


2 722
19 361
19 19
1

Prime factors of 722 are 2,19. Prime factorization of 722 in exponential form is:

722 = 21×192

Now multiplying the highest exponent prime factors to calculate the LCM of 717 and 722.

LCM(717,722) = 21×31×192×2391
LCM(717,722) = 517674

Factors of 717

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

1, 3, 239, 717

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Least Common Multiple of 717 and 722 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 722, than apply into the LCM equation.

GCF(717,722) = 1
LCM(717,722) = ( 717 × 722) / 1
LCM(717,722) = 517674 / 1
LCM(717,722) = 517674

Properties of LCM 717 and 722

(i) The LCM of 722 and 717 is associative

LCM of 717 and 722 = LCM of 722 and 717

Related Least Common Multiples of 717

Related Least Common Multiples of 722

Frequently Asked Questions on LCM of 717 and 722

1. What is the LCM of 717 and 722?

Answer: LCM of 717 and 722 is 517674.

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 722?

Answer: Factors of 722 are 1, 2, 19, 38, 361, 722. There are 6 integers that are factors of 722. The greatest factor of 722 is 722.

4. How to Find the LCM of 717 and 722?

Answer:

Least Common Multiple of 717 and 722 = 517674

Step 1: Find the prime factorization of 717

717 = 3 x 239

Step 2: Find the prime factorization of 722

722 = 2 x 19 x 19

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

LCM = 517674 = 2 x 3 x 19 x 19 x 239

Step 4: Therefore, the least common multiple of 717 and 722 is 517674.