Least Common Multiple of 9817 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 9817 and 9823 the smallest integer that is 96432391 that is divisible by both numbers.

Least Common Multiple (LCM) of 9817 and 9823 is 96432391.

LCM(9817,9823) = 96432391

LCM of 9817 and 9823

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

LCM of:
and

Least Common Multiple of 9817 and 9823

LCM of 9817 and 9823 is 96432391

Least common multiple can be found by multiplying the highest exponent prime factors of 9817 and 9823. First we will calculate the prime factors of 9817 and 9823.

Prime Factorization of 9817


9817 9817
1

Prime factors of 9817 are 9817. Prime factorization of 9817 in exponential form is:

9817 = 98171

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 9817 and 9823.

LCM(9817,9823) = 111×191×471×98171
LCM(9817,9823) = 96432391

Factors of 9817

List of positive integer factors of 9817 that divides 9817 without a remainder.

1, 9817

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 9817 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 9817 and 9823, than apply into the LCM equation.

GCF(9817,9823) = 1
LCM(9817,9823) = ( 9817 × 9823) / 1
LCM(9817,9823) = 96432391 / 1
LCM(9817,9823) = 96432391

Properties of LCM 9817 and 9823

(i) The LCM of 9823 and 9817 is associative

LCM of 9817 and 9823 = LCM of 9823 and 9817

Related Least Common Multiples of 9817

Related Least Common Multiples of 9823

Frequently Asked Questions on LCM of 9817 and 9823

1. What is the LCM of 9817 and 9823?

Answer: LCM of 9817 and 9823 is 96432391.

2. What are the Factors of 9817?

Answer: Factors of 9817 are 1, 9817. There are 2 integers that are factors of 9817. The greatest factor of 9817 is 9817.

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 9817 and 9823?

Answer:

Least Common Multiple of 9817 and 9823 = 96432391

Step 1: Find the prime factorization of 9817

9817 = 9817

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 = 96432391 = 11 x 19 x 47 x 9817

Step 4: Therefore, the least common multiple of 9817 and 9823 is 96432391.