Least Common Multiple of 9825 and 9831

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 9831 the smallest integer that is 32196525 that is divisible by both numbers.

Least Common Multiple (LCM) of 9825 and 9831 is 32196525.

LCM(9825,9831) = 32196525

LCM of 9825 and 9831

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

LCM of:
and

Least Common Multiple of 9825 and 9831

LCM of 9825 and 9831 is 32196525

Least common multiple can be found by multiplying the highest exponent prime factors of 9825 and 9831. First we will calculate the prime factors of 9825 and 9831.

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 9831


3 9831
29 3277
113 113
1

Prime factors of 9831 are 3, 29,113. Prime factorization of 9831 in exponential form is:

9831 = 31×291×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 9825 and 9831.

LCM(9825,9831) = 31×52×291×1131×1311
LCM(9825,9831) = 32196525

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 9831

List of positive integer factors of 9831 that divides 9831 without a remainder.

1, 3, 29, 87, 113, 339, 3277, 9831

Least Common Multiple of 9825 and 9831 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 9831, than apply into the LCM equation.

GCF(9825,9831) = 3
LCM(9825,9831) = ( 9825 × 9831) / 3
LCM(9825,9831) = 96589575 / 3
LCM(9825,9831) = 32196525

Properties of LCM 9825 and 9831

(i) The LCM of 9831 and 9825 is associative

LCM of 9825 and 9831 = LCM of 9831 and 9825

Related Least Common Multiples of 9825

Related Least Common Multiples of 9831

Frequently Asked Questions on LCM of 9825 and 9831

1. What is the LCM of 9825 and 9831?

Answer: LCM of 9825 and 9831 is 32196525.

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 9831?

Answer: Factors of 9831 are 1, 3, 29, 87, 113, 339, 3277, 9831. There are 8 integers that are factors of 9831. The greatest factor of 9831 is 9831.

4. How to Find the LCM of 9825 and 9831?

Answer:

Least Common Multiple of 9825 and 9831 = 32196525

Step 1: Find the prime factorization of 9825

9825 = 3 x 5 x 5 x 131

Step 2: Find the prime factorization of 9831

9831 = 3 x 29 x 113

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

LCM = 32196525 = 3 x 5 x 5 x 29 x 113 x 131

Step 4: Therefore, the least common multiple of 9825 and 9831 is 32196525.