Least Common Multiple of 9826 and 9833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9826 and 9833 the smallest integer that is 96619058 that is divisible by both numbers.

Least Common Multiple (LCM) of 9826 and 9833 is 96619058.

LCM(9826,9833) = 96619058

LCM of 9826 and 9833

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

LCM of:
and

Least Common Multiple of 9826 and 9833

LCM of 9826 and 9833 is 96619058

Least common multiple can be found by multiplying the highest exponent prime factors of 9826 and 9833. First we will calculate the prime factors of 9826 and 9833.

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

Prime Factorization of 9833


9833 9833
1

Prime factors of 9833 are 9833. Prime factorization of 9833 in exponential form is:

9833 = 98331

Now multiplying the highest exponent prime factors to calculate the LCM of 9826 and 9833.

LCM(9826,9833) = 21×173×98331
LCM(9826,9833) = 96619058

Factors of 9826

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

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

Factors of 9833

List of positive integer factors of 9833 that divides 9833 without a remainder.

1, 9833

Least Common Multiple of 9826 and 9833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9826 and 9833, than apply into the LCM equation.

GCF(9826,9833) = 1
LCM(9826,9833) = ( 9826 × 9833) / 1
LCM(9826,9833) = 96619058 / 1
LCM(9826,9833) = 96619058

Properties of LCM 9826 and 9833

(i) The LCM of 9833 and 9826 is associative

LCM of 9826 and 9833 = LCM of 9833 and 9826

Related Least Common Multiples of 9826

Related Least Common Multiples of 9833

Frequently Asked Questions on LCM of 9826 and 9833

1. What is the LCM of 9826 and 9833?

Answer: LCM of 9826 and 9833 is 96619058.

2. 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.

3. What are the Factors of 9833?

Answer: Factors of 9833 are 1, 9833. There are 2 integers that are factors of 9833. The greatest factor of 9833 is 9833.

4. How to Find the LCM of 9826 and 9833?

Answer:

Least Common Multiple of 9826 and 9833 = 96619058

Step 1: Find the prime factorization of 9826

9826 = 2 x 17 x 17 x 17

Step 2: Find the prime factorization of 9833

9833 = 9833

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

LCM = 96619058 = 2 x 17 x 17 x 17 x 9833

Step 4: Therefore, the least common multiple of 9826 and 9833 is 96619058.