Least Common Multiple of 9814 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 9814 and 9819 the smallest integer that is 96363666 that is divisible by both numbers.

Least Common Multiple (LCM) of 9814 and 9819 is 96363666.

LCM(9814,9819) = 96363666

LCM of 9814 and 9819

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

LCM of:
and

Least Common Multiple of 9814 and 9819

LCM of 9814 and 9819 is 96363666

Least common multiple can be found by multiplying the highest exponent prime factors of 9814 and 9819. First we will calculate the prime factors of 9814 and 9819.

Prime Factorization of 9814


2 9814
7 4907
701 701
1

Prime factors of 9814 are 2, 7,701. Prime factorization of 9814 in exponential form is:

9814 = 21×71×7011

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 9814 and 9819.

LCM(9814,9819) = 21×32×71×7011×10911
LCM(9814,9819) = 96363666

Factors of 9814

List of positive integer factors of 9814 that divides 9814 without a remainder.

1, 2, 7, 14, 701, 1402, 4907, 9814

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 9814 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 9814 and 9819, than apply into the LCM equation.

GCF(9814,9819) = 1
LCM(9814,9819) = ( 9814 × 9819) / 1
LCM(9814,9819) = 96363666 / 1
LCM(9814,9819) = 96363666

Properties of LCM 9814 and 9819

(i) The LCM of 9819 and 9814 is associative

LCM of 9814 and 9819 = LCM of 9819 and 9814

Related Least Common Multiples of 9814

Related Least Common Multiples of 9819

Frequently Asked Questions on LCM of 9814 and 9819

1. What is the LCM of 9814 and 9819?

Answer: LCM of 9814 and 9819 is 96363666.

2. What are the Factors of 9814?

Answer: Factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814. There are 8 integers that are factors of 9814. The greatest factor of 9814 is 9814.

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 9814 and 9819?

Answer:

Least Common Multiple of 9814 and 9819 = 96363666

Step 1: Find the prime factorization of 9814

9814 = 2 x 7 x 701

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 = 96363666 = 2 x 3 x 3 x 7 x 701 x 1091

Step 4: Therefore, the least common multiple of 9814 and 9819 is 96363666.