Least Common Multiple of 9704 and 9712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9704 and 9712 the smallest integer that is 11780656 that is divisible by both numbers.

Least Common Multiple (LCM) of 9704 and 9712 is 11780656.

LCM(9704,9712) = 11780656

LCM of 9704 and 9712

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

LCM of:
and

Least Common Multiple of 9704 and 9712

LCM of 9704 and 9712 is 11780656

Least common multiple can be found by multiplying the highest exponent prime factors of 9704 and 9712. First we will calculate the prime factors of 9704 and 9712.

Prime Factorization of 9704


2 9704
2 4852
2 2426
1213 1213
1

Prime factors of 9704 are 2,1213. Prime factorization of 9704 in exponential form is:

9704 = 23×12131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9704 and 9712.

LCM(9704,9712) = 24×6071×12131
LCM(9704,9712) = 11780656

Factors of 9704

List of positive integer factors of 9704 that divides 9704 without a remainder.

1, 2, 4, 8, 1213, 2426, 4852, 9704

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

Least Common Multiple of 9704 and 9712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9704 and 9712, than apply into the LCM equation.

GCF(9704,9712) = 8
LCM(9704,9712) = ( 9704 × 9712) / 8
LCM(9704,9712) = 94245248 / 8
LCM(9704,9712) = 11780656

Properties of LCM 9704 and 9712

(i) The LCM of 9712 and 9704 is associative

LCM of 9704 and 9712 = LCM of 9712 and 9704

Related Least Common Multiples of 9704

Related Least Common Multiples of 9712

Frequently Asked Questions on LCM of 9704 and 9712

1. What is the LCM of 9704 and 9712?

Answer: LCM of 9704 and 9712 is 11780656.

2. What are the Factors of 9704?

Answer: Factors of 9704 are 1, 2, 4, 8, 1213, 2426, 4852, 9704. There are 8 integers that are factors of 9704. The greatest factor of 9704 is 9704.

3. 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.

4. How to Find the LCM of 9704 and 9712?

Answer:

Least Common Multiple of 9704 and 9712 = 11780656

Step 1: Find the prime factorization of 9704

9704 = 2 x 2 x 2 x 1213

Step 2: Find the prime factorization of 9712

9712 = 2 x 2 x 2 x 2 x 607

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

LCM = 11780656 = 2 x 2 x 2 x 2 x 607 x 1213

Step 4: Therefore, the least common multiple of 9704 and 9712 is 11780656.