Least Common Multiple of 9819 and 9824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9819 and 9824 the smallest integer that is 96461856 that is divisible by both numbers.

Least Common Multiple (LCM) of 9819 and 9824 is 96461856.

LCM(9819,9824) = 96461856

LCM of 9819 and 9824

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

LCM of:
and

Least Common Multiple of 9819 and 9824

LCM of 9819 and 9824 is 96461856

Least common multiple can be found by multiplying the highest exponent prime factors of 9819 and 9824. First we will calculate the prime factors of 9819 and 9824.

Prime Factorization of 9819


3 9819
3 3273
1091 1091
1

Prime factors of 9819 are 3,1091. Prime factorization of 9819 in exponential form is:

9819 = 32×10911

Prime Factorization of 9824


2 9824
2 4912
2 2456
2 1228
2 614
307 307
1

Prime factors of 9824 are 2,307. Prime factorization of 9824 in exponential form is:

9824 = 25×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 9819 and 9824.

LCM(9819,9824) = 25×32×3071×10911
LCM(9819,9824) = 96461856

Factors of 9819

List of positive integer factors of 9819 that divides 9819 without a remainder.

1, 3, 9, 1091, 3273, 9819

Factors of 9824

List of positive integer factors of 9824 that divides 9824 without a remainder.

1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824

Least Common Multiple of 9819 and 9824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9819 and 9824, than apply into the LCM equation.

GCF(9819,9824) = 1
LCM(9819,9824) = ( 9819 × 9824) / 1
LCM(9819,9824) = 96461856 / 1
LCM(9819,9824) = 96461856

Properties of LCM 9819 and 9824

(i) The LCM of 9824 and 9819 is associative

LCM of 9819 and 9824 = LCM of 9824 and 9819

Related Least Common Multiples of 9819

Related Least Common Multiples of 9824

Frequently Asked Questions on LCM of 9819 and 9824

1. What is the LCM of 9819 and 9824?

Answer: LCM of 9819 and 9824 is 96461856.

2. What are the Factors of 9819?

Answer: Factors of 9819 are 1, 3, 9, 1091, 3273, 9819. There are 6 integers that are factors of 9819. The greatest factor of 9819 is 9819.

3. What are the Factors of 9824?

Answer: Factors of 9824 are 1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824. There are 12 integers that are factors of 9824. The greatest factor of 9824 is 9824.

4. How to Find the LCM of 9819 and 9824?

Answer:

Least Common Multiple of 9819 and 9824 = 96461856

Step 1: Find the prime factorization of 9819

9819 = 3 x 3 x 1091

Step 2: Find the prime factorization of 9824

9824 = 2 x 2 x 2 x 2 x 2 x 307

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

LCM = 96461856 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 307 x 1091

Step 4: Therefore, the least common multiple of 9819 and 9824 is 96461856.