Least Common Multiple of 9823 and 9827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9823 and 9827 the smallest integer that is 96530621 that is divisible by both numbers.

Least Common Multiple (LCM) of 9823 and 9827 is 96530621.

LCM(9823,9827) = 96530621

LCM of 9823 and 9827

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

LCM of:
and

Least Common Multiple of 9823 and 9827

LCM of 9823 and 9827 is 96530621

Least common multiple can be found by multiplying the highest exponent prime factors of 9823 and 9827. First we will calculate the prime factors of 9823 and 9827.

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

Prime Factorization of 9827


31 9827
317 317
1

Prime factors of 9827 are 31,317. Prime factorization of 9827 in exponential form is:

9827 = 311×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 9823 and 9827.

LCM(9823,9827) = 111×191×311×471×3171
LCM(9823,9827) = 96530621

Factors of 9823

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

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

Factors of 9827

List of positive integer factors of 9827 that divides 9827 without a remainder.

1, 31, 317, 9827

Least Common Multiple of 9823 and 9827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9823 and 9827, than apply into the LCM equation.

GCF(9823,9827) = 1
LCM(9823,9827) = ( 9823 × 9827) / 1
LCM(9823,9827) = 96530621 / 1
LCM(9823,9827) = 96530621

Properties of LCM 9823 and 9827

(i) The LCM of 9827 and 9823 is associative

LCM of 9823 and 9827 = LCM of 9827 and 9823

Related Least Common Multiples of 9823

Related Least Common Multiples of 9827

Frequently Asked Questions on LCM of 9823 and 9827

1. What is the LCM of 9823 and 9827?

Answer: LCM of 9823 and 9827 is 96530621.

2. 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.

3. What are the Factors of 9827?

Answer: Factors of 9827 are 1, 31, 317, 9827. There are 4 integers that are factors of 9827. The greatest factor of 9827 is 9827.

4. How to Find the LCM of 9823 and 9827?

Answer:

Least Common Multiple of 9823 and 9827 = 96530621

Step 1: Find the prime factorization of 9823

9823 = 11 x 19 x 47

Step 2: Find the prime factorization of 9827

9827 = 31 x 317

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

LCM = 96530621 = 11 x 19 x 31 x 47 x 317

Step 4: Therefore, the least common multiple of 9823 and 9827 is 96530621.