Least Common Multiple of 712 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 712 and 717 the smallest integer that is 510504 that is divisible by both numbers.

Least Common Multiple (LCM) of 712 and 717 is 510504.

LCM(712,717) = 510504

LCM of 712 and 717

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

LCM of:
and

Least Common Multiple of 712 and 717

LCM of 712 and 717 is 510504

Least common multiple can be found by multiplying the highest exponent prime factors of 712 and 717. First we will calculate the prime factors of 712 and 717.

Prime Factorization of 712


2 712
2 356
2 178
89 89
1

Prime factors of 712 are 2,89. Prime factorization of 712 in exponential form is:

712 = 23×891

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 712 and 717.

LCM(712,717) = 23×31×891×2391
LCM(712,717) = 510504

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Factors of 717

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

1, 3, 239, 717

Least Common Multiple of 712 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 712 and 717, than apply into the LCM equation.

GCF(712,717) = 1
LCM(712,717) = ( 712 × 717) / 1
LCM(712,717) = 510504 / 1
LCM(712,717) = 510504

Properties of LCM 712 and 717

(i) The LCM of 717 and 712 is associative

LCM of 712 and 717 = LCM of 717 and 712

Related Least Common Multiples of 712

Related Least Common Multiples of 717

Frequently Asked Questions on LCM of 712 and 717

1. What is the LCM of 712 and 717?

Answer: LCM of 712 and 717 is 510504.

2. What are the Factors of 712?

Answer: Factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712. There are 8 integers that are factors of 712. The greatest factor of 712 is 712.

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 712 and 717?

Answer:

Least Common Multiple of 712 and 717 = 510504

Step 1: Find the prime factorization of 712

712 = 2 x 2 x 2 x 89

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 = 510504 = 2 x 2 x 2 x 3 x 89 x 239

Step 4: Therefore, the least common multiple of 712 and 717 is 510504.