Least Common Multiple of 9821 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 9821 and 9825 the smallest integer that is 96491325 that is divisible by both numbers.

Least Common Multiple (LCM) of 9821 and 9825 is 96491325.

LCM(9821,9825) = 96491325

LCM of 9821 and 9825

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

LCM of:
and

Least Common Multiple of 9821 and 9825

LCM of 9821 and 9825 is 96491325

Least common multiple can be found by multiplying the highest exponent prime factors of 9821 and 9825. First we will calculate the prime factors of 9821 and 9825.

Prime Factorization of 9821


7 9821
23 1403
61 61
1

Prime factors of 9821 are 7, 23,61. Prime factorization of 9821 in exponential form is:

9821 = 71×231×611

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 9821 and 9825.

LCM(9821,9825) = 31×52×71×231×611×1311
LCM(9821,9825) = 96491325

Factors of 9821

List of positive integer factors of 9821 that divides 9821 without a remainder.

1, 7, 23, 61, 161, 427, 1403, 9821

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 9821 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 9821 and 9825, than apply into the LCM equation.

GCF(9821,9825) = 1
LCM(9821,9825) = ( 9821 × 9825) / 1
LCM(9821,9825) = 96491325 / 1
LCM(9821,9825) = 96491325

Properties of LCM 9821 and 9825

(i) The LCM of 9825 and 9821 is associative

LCM of 9821 and 9825 = LCM of 9825 and 9821

Related Least Common Multiples of 9821

Related Least Common Multiples of 9825

Frequently Asked Questions on LCM of 9821 and 9825

1. What is the LCM of 9821 and 9825?

Answer: LCM of 9821 and 9825 is 96491325.

2. What are the Factors of 9821?

Answer: Factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821. There are 8 integers that are factors of 9821. The greatest factor of 9821 is 9821.

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 9821 and 9825?

Answer:

Least Common Multiple of 9821 and 9825 = 96491325

Step 1: Find the prime factorization of 9821

9821 = 7 x 23 x 61

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 = 96491325 = 3 x 5 x 5 x 7 x 23 x 61 x 131

Step 4: Therefore, the least common multiple of 9821 and 9825 is 96491325.