Least Common Multiple of 9716 and 9720

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 9720 the smallest integer that is 23609880 that is divisible by both numbers.

Least Common Multiple (LCM) of 9716 and 9720 is 23609880.

LCM(9716,9720) = 23609880

LCM of 9716 and 9720

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

LCM of:
and

Least Common Multiple of 9716 and 9720

LCM of 9716 and 9720 is 23609880

Least common multiple can be found by multiplying the highest exponent prime factors of 9716 and 9720. First we will calculate the prime factors of 9716 and 9720.

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 9720


2 9720
2 4860
2 2430
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 9720 are 2, 3,5. Prime factorization of 9720 in exponential form is:

9720 = 23×35×51

Now multiplying the highest exponent prime factors to calculate the LCM of 9716 and 9720.

LCM(9716,9720) = 23×35×51×71×3471
LCM(9716,9720) = 23609880

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 9720

List of positive integer factors of 9720 that divides 9720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 810, 972, 1080, 1215, 1620, 1944, 2430, 3240, 4860, 9720

Least Common Multiple of 9716 and 9720 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 9720, than apply into the LCM equation.

GCF(9716,9720) = 4
LCM(9716,9720) = ( 9716 × 9720) / 4
LCM(9716,9720) = 94439520 / 4
LCM(9716,9720) = 23609880

Properties of LCM 9716 and 9720

(i) The LCM of 9720 and 9716 is associative

LCM of 9716 and 9720 = LCM of 9720 and 9716

Related Least Common Multiples of 9716

Related Least Common Multiples of 9720

Frequently Asked Questions on LCM of 9716 and 9720

1. What is the LCM of 9716 and 9720?

Answer: LCM of 9716 and 9720 is 23609880.

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 9720?

Answer: Factors of 9720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 810, 972, 1080, 1215, 1620, 1944, 2430, 3240, 4860, 9720. There are 48 integers that are factors of 9720. The greatest factor of 9720 is 9720.

4. How to Find the LCM of 9716 and 9720?

Answer:

Least Common Multiple of 9716 and 9720 = 23609880

Step 1: Find the prime factorization of 9716

9716 = 2 x 2 x 7 x 347

Step 2: Find the prime factorization of 9720

9720 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5

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

LCM = 23609880 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 347

Step 4: Therefore, the least common multiple of 9716 and 9720 is 23609880.