Least Common Multiple of 9716 and 9724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9716 and 9724 the smallest integer that is 23619596 that is divisible by both numbers.

Least Common Multiple (LCM) of 9716 and 9724 is 23619596.

LCM(9716,9724) = 23619596

LCM of 9716 and 9724

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

LCM of:
and

Least Common Multiple of 9716 and 9724

LCM of 9716 and 9724 is 23619596

Least common multiple can be found by multiplying the highest exponent prime factors of 9716 and 9724. First we will calculate the prime factors of 9716 and 9724.

Prime Factorization of 9716


2 9716
2 4858
7 2429
347 347
1

Prime factors of 9716 are 2, 7,347. Prime factorization of 9716 in exponential form is:

9716 = 22×71×3471

Prime Factorization of 9724


2 9724
2 4862
11 2431
13 221
17 17
1

Prime factors of 9724 are 2, 11, 13,17. Prime factorization of 9724 in exponential form is:

9724 = 22×111×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 9716 and 9724.

LCM(9716,9724) = 22×71×111×131×171×3471
LCM(9716,9724) = 23619596

Factors of 9716

List of positive integer factors of 9716 that divides 9716 without a remainder.

1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858, 9716

Factors of 9724

List of positive integer factors of 9724 that divides 9724 without a remainder.

1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724

Least Common Multiple of 9716 and 9724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9716 and 9724, than apply into the LCM equation.

GCF(9716,9724) = 4
LCM(9716,9724) = ( 9716 × 9724) / 4
LCM(9716,9724) = 94478384 / 4
LCM(9716,9724) = 23619596

Properties of LCM 9716 and 9724

(i) The LCM of 9724 and 9716 is associative

LCM of 9716 and 9724 = LCM of 9724 and 9716

Related Least Common Multiples of 9716

Related Least Common Multiples of 9724

Frequently Asked Questions on LCM of 9716 and 9724

1. What is the LCM of 9716 and 9724?

Answer: LCM of 9716 and 9724 is 23619596.

2. What are the Factors of 9716?

Answer: Factors of 9716 are 1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858, 9716. There are 12 integers that are factors of 9716. The greatest factor of 9716 is 9716.

3. What are the Factors of 9724?

Answer: Factors of 9724 are 1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724. There are 24 integers that are factors of 9724. The greatest factor of 9724 is 9724.

4. How to Find the LCM of 9716 and 9724?

Answer:

Least Common Multiple of 9716 and 9724 = 23619596

Step 1: Find the prime factorization of 9716

9716 = 2 x 2 x 7 x 347

Step 2: Find the prime factorization of 9724

9724 = 2 x 2 x 11 x 13 x 17

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

LCM = 23619596 = 2 x 2 x 7 x 11 x 13 x 17 x 347

Step 4: Therefore, the least common multiple of 9716 and 9724 is 23619596.