Least Common Multiple of 9821 and 9823

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 9823 the smallest integer that is 96471683 that is divisible by both numbers.

Least Common Multiple (LCM) of 9821 and 9823 is 96471683.

LCM(9821,9823) = 96471683

LCM of 9821 and 9823

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

LCM of:
and

Least Common Multiple of 9821 and 9823

LCM of 9821 and 9823 is 96471683

Least common multiple can be found by multiplying the highest exponent prime factors of 9821 and 9823. First we will calculate the prime factors of 9821 and 9823.

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 9823


11 9823
19 893
47 47
1

Prime factors of 9823 are 11, 19,47. Prime factorization of 9823 in exponential form is:

9823 = 111×191×471

Now multiplying the highest exponent prime factors to calculate the LCM of 9821 and 9823.

LCM(9821,9823) = 71×111×191×231×471×611
LCM(9821,9823) = 96471683

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 9823

List of positive integer factors of 9823 that divides 9823 without a remainder.

1, 11, 19, 47, 209, 517, 893, 9823

Least Common Multiple of 9821 and 9823 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 9823, than apply into the LCM equation.

GCF(9821,9823) = 1
LCM(9821,9823) = ( 9821 × 9823) / 1
LCM(9821,9823) = 96471683 / 1
LCM(9821,9823) = 96471683

Properties of LCM 9821 and 9823

(i) The LCM of 9823 and 9821 is associative

LCM of 9821 and 9823 = LCM of 9823 and 9821

Related Least Common Multiples of 9821

Related Least Common Multiples of 9823

Frequently Asked Questions on LCM of 9821 and 9823

1. What is the LCM of 9821 and 9823?

Answer: LCM of 9821 and 9823 is 96471683.

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 9823?

Answer: Factors of 9823 are 1, 11, 19, 47, 209, 517, 893, 9823. There are 8 integers that are factors of 9823. The greatest factor of 9823 is 9823.

4. How to Find the LCM of 9821 and 9823?

Answer:

Least Common Multiple of 9821 and 9823 = 96471683

Step 1: Find the prime factorization of 9821

9821 = 7 x 23 x 61

Step 2: Find the prime factorization of 9823

9823 = 11 x 19 x 47

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

LCM = 96471683 = 7 x 11 x 19 x 23 x 47 x 61

Step 4: Therefore, the least common multiple of 9821 and 9823 is 96471683.