Least Common Multiple of 9819 and 9826

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 9826 the smallest integer that is 96481494 that is divisible by both numbers.

Least Common Multiple (LCM) of 9819 and 9826 is 96481494.

LCM(9819,9826) = 96481494

LCM of 9819 and 9826

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

LCM of:
and

Least Common Multiple of 9819 and 9826

LCM of 9819 and 9826 is 96481494

Least common multiple can be found by multiplying the highest exponent prime factors of 9819 and 9826. First we will calculate the prime factors of 9819 and 9826.

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 9826


2 9826
17 4913
17 289
17 17
1

Prime factors of 9826 are 2,17. Prime factorization of 9826 in exponential form is:

9826 = 21×173

Now multiplying the highest exponent prime factors to calculate the LCM of 9819 and 9826.

LCM(9819,9826) = 21×32×173×10911
LCM(9819,9826) = 96481494

Factors of 9819

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

1, 3, 9, 1091, 3273, 9819

Factors of 9826

List of positive integer factors of 9826 that divides 9826 without a remainder.

1, 2, 17, 34, 289, 578, 4913, 9826

Least Common Multiple of 9819 and 9826 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 9826, than apply into the LCM equation.

GCF(9819,9826) = 1
LCM(9819,9826) = ( 9819 × 9826) / 1
LCM(9819,9826) = 96481494 / 1
LCM(9819,9826) = 96481494

Properties of LCM 9819 and 9826

(i) The LCM of 9826 and 9819 is associative

LCM of 9819 and 9826 = LCM of 9826 and 9819

Related Least Common Multiples of 9819

Related Least Common Multiples of 9826

Frequently Asked Questions on LCM of 9819 and 9826

1. What is the LCM of 9819 and 9826?

Answer: LCM of 9819 and 9826 is 96481494.

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 9826?

Answer: Factors of 9826 are 1, 2, 17, 34, 289, 578, 4913, 9826. There are 8 integers that are factors of 9826. The greatest factor of 9826 is 9826.

4. How to Find the LCM of 9819 and 9826?

Answer:

Least Common Multiple of 9819 and 9826 = 96481494

Step 1: Find the prime factorization of 9819

9819 = 3 x 3 x 1091

Step 2: Find the prime factorization of 9826

9826 = 2 x 17 x 17 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 = 96481494 = 2 x 3 x 3 x 17 x 17 x 17 x 1091

Step 4: Therefore, the least common multiple of 9819 and 9826 is 96481494.