Least Common Multiple of 9712 and 9717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9712 and 9717 the smallest integer that is 94371504 that is divisible by both numbers.

Least Common Multiple (LCM) of 9712 and 9717 is 94371504.

LCM(9712,9717) = 94371504

LCM of 9712 and 9717

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

LCM of:
and

Least Common Multiple of 9712 and 9717

LCM of 9712 and 9717 is 94371504

Least common multiple can be found by multiplying the highest exponent prime factors of 9712 and 9717. First we will calculate the prime factors of 9712 and 9717.

Prime Factorization of 9712


2 9712
2 4856
2 2428
2 1214
607 607
1

Prime factors of 9712 are 2,607. Prime factorization of 9712 in exponential form is:

9712 = 24×6071

Prime Factorization of 9717


3 9717
41 3239
79 79
1

Prime factors of 9717 are 3, 41,79. Prime factorization of 9717 in exponential form is:

9717 = 31×411×791

Now multiplying the highest exponent prime factors to calculate the LCM of 9712 and 9717.

LCM(9712,9717) = 24×31×411×791×6071
LCM(9712,9717) = 94371504

Factors of 9712

List of positive integer factors of 9712 that divides 9712 without a remainder.

1, 2, 4, 8, 16, 607, 1214, 2428, 4856, 9712

Factors of 9717

List of positive integer factors of 9717 that divides 9717 without a remainder.

1, 3, 41, 79, 123, 237, 3239, 9717

Least Common Multiple of 9712 and 9717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9712 and 9717, than apply into the LCM equation.

GCF(9712,9717) = 1
LCM(9712,9717) = ( 9712 × 9717) / 1
LCM(9712,9717) = 94371504 / 1
LCM(9712,9717) = 94371504

Properties of LCM 9712 and 9717

(i) The LCM of 9717 and 9712 is associative

LCM of 9712 and 9717 = LCM of 9717 and 9712

Related Least Common Multiples of 9712

Related Least Common Multiples of 9717

Frequently Asked Questions on LCM of 9712 and 9717

1. What is the LCM of 9712 and 9717?

Answer: LCM of 9712 and 9717 is 94371504.

2. What are the Factors of 9712?

Answer: Factors of 9712 are 1, 2, 4, 8, 16, 607, 1214, 2428, 4856, 9712. There are 10 integers that are factors of 9712. The greatest factor of 9712 is 9712.

3. What are the Factors of 9717?

Answer: Factors of 9717 are 1, 3, 41, 79, 123, 237, 3239, 9717. There are 8 integers that are factors of 9717. The greatest factor of 9717 is 9717.

4. How to Find the LCM of 9712 and 9717?

Answer:

Least Common Multiple of 9712 and 9717 = 94371504

Step 1: Find the prime factorization of 9712

9712 = 2 x 2 x 2 x 2 x 607

Step 2: Find the prime factorization of 9717

9717 = 3 x 41 x 79

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

LCM = 94371504 = 2 x 2 x 2 x 2 x 3 x 41 x 79 x 607

Step 4: Therefore, the least common multiple of 9712 and 9717 is 94371504.