Least Common Multiple of 9817 and 9825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9817 and 9825 the smallest integer that is 96452025 that is divisible by both numbers.

Least Common Multiple (LCM) of 9817 and 9825 is 96452025.

LCM(9817,9825) = 96452025

LCM of 9817 and 9825

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

LCM of:
and

Least Common Multiple of 9817 and 9825

LCM of 9817 and 9825 is 96452025

Least common multiple can be found by multiplying the highest exponent prime factors of 9817 and 9825. First we will calculate the prime factors of 9817 and 9825.

Prime Factorization of 9817


9817 9817
1

Prime factors of 9817 are 9817. Prime factorization of 9817 in exponential form is:

9817 = 98171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9817 and 9825.

LCM(9817,9825) = 31×52×1311×98171
LCM(9817,9825) = 96452025

Factors of 9817

List of positive integer factors of 9817 that divides 9817 without a remainder.

1, 9817

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

Least Common Multiple of 9817 and 9825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9817 and 9825, than apply into the LCM equation.

GCF(9817,9825) = 1
LCM(9817,9825) = ( 9817 × 9825) / 1
LCM(9817,9825) = 96452025 / 1
LCM(9817,9825) = 96452025

Properties of LCM 9817 and 9825

(i) The LCM of 9825 and 9817 is associative

LCM of 9817 and 9825 = LCM of 9825 and 9817

Related Least Common Multiples of 9817

Related Least Common Multiples of 9825

Frequently Asked Questions on LCM of 9817 and 9825

1. What is the LCM of 9817 and 9825?

Answer: LCM of 9817 and 9825 is 96452025.

2. What are the Factors of 9817?

Answer: Factors of 9817 are 1, 9817. There are 2 integers that are factors of 9817. The greatest factor of 9817 is 9817.

3. 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.

4. How to Find the LCM of 9817 and 9825?

Answer:

Least Common Multiple of 9817 and 9825 = 96452025

Step 1: Find the prime factorization of 9817

9817 = 9817

Step 2: Find the prime factorization of 9825

9825 = 3 x 5 x 5 x 131

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

LCM = 96452025 = 3 x 5 x 5 x 131 x 9817

Step 4: Therefore, the least common multiple of 9817 and 9825 is 96452025.