Least Common Multiple of 9829 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 9829 and 9833 the smallest integer that is 96648557 that is divisible by both numbers.

Least Common Multiple (LCM) of 9829 and 9833 is 96648557.

LCM(9829,9833) = 96648557

LCM of 9829 and 9833

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

LCM of:
and

Least Common Multiple of 9829 and 9833

LCM of 9829 and 9833 is 96648557

Least common multiple can be found by multiplying the highest exponent prime factors of 9829 and 9833. First we will calculate the prime factors of 9829 and 9833.

Prime Factorization of 9829


9829 9829
1

Prime factors of 9829 are 9829. Prime factorization of 9829 in exponential form is:

9829 = 98291

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 9829 and 9833.

LCM(9829,9833) = 98291×98331
LCM(9829,9833) = 96648557

Factors of 9829

List of positive integer factors of 9829 that divides 9829 without a remainder.

1, 9829

Factors of 9833

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

1, 9833

Least Common Multiple of 9829 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 9829 and 9833, than apply into the LCM equation.

GCF(9829,9833) = 1
LCM(9829,9833) = ( 9829 × 9833) / 1
LCM(9829,9833) = 96648557 / 1
LCM(9829,9833) = 96648557

Properties of LCM 9829 and 9833

(i) The LCM of 9833 and 9829 is associative

LCM of 9829 and 9833 = LCM of 9833 and 9829

Related Least Common Multiples of 9829

Related Least Common Multiples of 9833

Frequently Asked Questions on LCM of 9829 and 9833

1. What is the LCM of 9829 and 9833?

Answer: LCM of 9829 and 9833 is 96648557.

2. What are the Factors of 9829?

Answer: Factors of 9829 are 1, 9829. There are 2 integers that are factors of 9829. The greatest factor of 9829 is 9829.

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 9829 and 9833?

Answer:

Least Common Multiple of 9829 and 9833 = 96648557

Step 1: Find the prime factorization of 9829

9829 = 9829

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 = 96648557 = 9829 x 9833

Step 4: Therefore, the least common multiple of 9829 and 9833 is 96648557.