Least Common Multiple of 9821 and 9824

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 9824 the smallest integer that is 96481504 that is divisible by both numbers.

Least Common Multiple (LCM) of 9821 and 9824 is 96481504.

LCM(9821,9824) = 96481504

LCM of 9821 and 9824

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

LCM of:
and

Least Common Multiple of 9821 and 9824

LCM of 9821 and 9824 is 96481504

Least common multiple can be found by multiplying the highest exponent prime factors of 9821 and 9824. First we will calculate the prime factors of 9821 and 9824.

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 9824


2 9824
2 4912
2 2456
2 1228
2 614
307 307
1

Prime factors of 9824 are 2,307. Prime factorization of 9824 in exponential form is:

9824 = 25×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 9821 and 9824.

LCM(9821,9824) = 25×71×231×611×3071
LCM(9821,9824) = 96481504

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 9824

List of positive integer factors of 9824 that divides 9824 without a remainder.

1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824

Least Common Multiple of 9821 and 9824 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 9824, than apply into the LCM equation.

GCF(9821,9824) = 1
LCM(9821,9824) = ( 9821 × 9824) / 1
LCM(9821,9824) = 96481504 / 1
LCM(9821,9824) = 96481504

Properties of LCM 9821 and 9824

(i) The LCM of 9824 and 9821 is associative

LCM of 9821 and 9824 = LCM of 9824 and 9821

Related Least Common Multiples of 9821

Related Least Common Multiples of 9824

Frequently Asked Questions on LCM of 9821 and 9824

1. What is the LCM of 9821 and 9824?

Answer: LCM of 9821 and 9824 is 96481504.

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 9824?

Answer: Factors of 9824 are 1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824. There are 12 integers that are factors of 9824. The greatest factor of 9824 is 9824.

4. How to Find the LCM of 9821 and 9824?

Answer:

Least Common Multiple of 9821 and 9824 = 96481504

Step 1: Find the prime factorization of 9821

9821 = 7 x 23 x 61

Step 2: Find the prime factorization of 9824

9824 = 2 x 2 x 2 x 2 x 2 x 307

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

LCM = 96481504 = 2 x 2 x 2 x 2 x 2 x 7 x 23 x 61 x 307

Step 4: Therefore, the least common multiple of 9821 and 9824 is 96481504.