Least Common Multiple of 9825 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 9825 and 9833 the smallest integer that is 96609225 that is divisible by both numbers.

Least Common Multiple (LCM) of 9825 and 9833 is 96609225.

LCM(9825,9833) = 96609225

LCM of 9825 and 9833

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

LCM of:
and

Least Common Multiple of 9825 and 9833

LCM of 9825 and 9833 is 96609225

Least common multiple can be found by multiplying the highest exponent prime factors of 9825 and 9833. First we will calculate the prime factors of 9825 and 9833.

Prime Factorization of 9825


3 9825
5 3275
5 655
131 131
1

Prime factors of 9825 are 3, 5,131. Prime factorization of 9825 in exponential form is:

9825 = 31×52×1311

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 9825 and 9833.

LCM(9825,9833) = 31×52×1311×98331
LCM(9825,9833) = 96609225

Factors of 9825

List of positive integer factors of 9825 that divides 9825 without a remainder.

1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825

Factors of 9833

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

1, 9833

Least Common Multiple of 9825 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 9825 and 9833, than apply into the LCM equation.

GCF(9825,9833) = 1
LCM(9825,9833) = ( 9825 × 9833) / 1
LCM(9825,9833) = 96609225 / 1
LCM(9825,9833) = 96609225

Properties of LCM 9825 and 9833

(i) The LCM of 9833 and 9825 is associative

LCM of 9825 and 9833 = LCM of 9833 and 9825

Related Least Common Multiples of 9825

Related Least Common Multiples of 9833

Frequently Asked Questions on LCM of 9825 and 9833

1. What is the LCM of 9825 and 9833?

Answer: LCM of 9825 and 9833 is 96609225.

2. What are the Factors of 9825?

Answer: Factors of 9825 are 1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825. There are 12 integers that are factors of 9825. The greatest factor of 9825 is 9825.

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 9825 and 9833?

Answer:

Least Common Multiple of 9825 and 9833 = 96609225

Step 1: Find the prime factorization of 9825

9825 = 3 x 5 x 5 x 131

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 = 96609225 = 3 x 5 x 5 x 131 x 9833

Step 4: Therefore, the least common multiple of 9825 and 9833 is 96609225.