Least Common Multiple of 9817 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 9817 and 9824 the smallest integer that is 96442208 that is divisible by both numbers.

Least Common Multiple (LCM) of 9817 and 9824 is 96442208.

LCM(9817,9824) = 96442208

LCM of 9817 and 9824

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

LCM of:
and

Least Common Multiple of 9817 and 9824

LCM of 9817 and 9824 is 96442208

Least common multiple can be found by multiplying the highest exponent prime factors of 9817 and 9824. First we will calculate the prime factors of 9817 and 9824.

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 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 9817 and 9824.

LCM(9817,9824) = 25×3071×98171
LCM(9817,9824) = 96442208

Factors of 9817

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

1, 9817

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 9817 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 9817 and 9824, than apply into the LCM equation.

GCF(9817,9824) = 1
LCM(9817,9824) = ( 9817 × 9824) / 1
LCM(9817,9824) = 96442208 / 1
LCM(9817,9824) = 96442208

Properties of LCM 9817 and 9824

(i) The LCM of 9824 and 9817 is associative

LCM of 9817 and 9824 = LCM of 9824 and 9817

Related Least Common Multiples of 9817

Related Least Common Multiples of 9824

Frequently Asked Questions on LCM of 9817 and 9824

1. What is the LCM of 9817 and 9824?

Answer: LCM of 9817 and 9824 is 96442208.

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 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 9817 and 9824?

Answer:

Least Common Multiple of 9817 and 9824 = 96442208

Step 1: Find the prime factorization of 9817

9817 = 9817

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 = 96442208 = 2 x 2 x 2 x 2 x 2 x 307 x 9817

Step 4: Therefore, the least common multiple of 9817 and 9824 is 96442208.