Least Common Multiple of 9812 and 9819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9812 and 9819 the smallest integer that is 96344028 that is divisible by both numbers.

Least Common Multiple (LCM) of 9812 and 9819 is 96344028.

LCM(9812,9819) = 96344028

LCM of 9812 and 9819

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

LCM of:
and

Least Common Multiple of 9812 and 9819

LCM of 9812 and 9819 is 96344028

Least common multiple can be found by multiplying the highest exponent prime factors of 9812 and 9819. First we will calculate the prime factors of 9812 and 9819.

Prime Factorization of 9812


2 9812
2 4906
11 2453
223 223
1

Prime factors of 9812 are 2, 11,223. Prime factorization of 9812 in exponential form is:

9812 = 22×111×2231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9812 and 9819.

LCM(9812,9819) = 22×32×111×2231×10911
LCM(9812,9819) = 96344028

Factors of 9812

List of positive integer factors of 9812 that divides 9812 without a remainder.

1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812

Factors of 9819

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

1, 3, 9, 1091, 3273, 9819

Least Common Multiple of 9812 and 9819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9812 and 9819, than apply into the LCM equation.

GCF(9812,9819) = 1
LCM(9812,9819) = ( 9812 × 9819) / 1
LCM(9812,9819) = 96344028 / 1
LCM(9812,9819) = 96344028

Properties of LCM 9812 and 9819

(i) The LCM of 9819 and 9812 is associative

LCM of 9812 and 9819 = LCM of 9819 and 9812

Related Least Common Multiples of 9812

Related Least Common Multiples of 9819

Frequently Asked Questions on LCM of 9812 and 9819

1. What is the LCM of 9812 and 9819?

Answer: LCM of 9812 and 9819 is 96344028.

2. What are the Factors of 9812?

Answer: Factors of 9812 are 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812. There are 12 integers that are factors of 9812. The greatest factor of 9812 is 9812.

3. 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.

4. How to Find the LCM of 9812 and 9819?

Answer:

Least Common Multiple of 9812 and 9819 = 96344028

Step 1: Find the prime factorization of 9812

9812 = 2 x 2 x 11 x 223

Step 2: Find the prime factorization of 9819

9819 = 3 x 3 x 1091

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

LCM = 96344028 = 2 x 2 x 3 x 3 x 11 x 223 x 1091

Step 4: Therefore, the least common multiple of 9812 and 9819 is 96344028.