Least Common Multiple of 9817 and 9822

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 9822 the smallest integer that is 96422574 that is divisible by both numbers.

Least Common Multiple (LCM) of 9817 and 9822 is 96422574.

LCM(9817,9822) = 96422574

LCM of 9817 and 9822

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

LCM of:
and

Least Common Multiple of 9817 and 9822

LCM of 9817 and 9822 is 96422574

Least common multiple can be found by multiplying the highest exponent prime factors of 9817 and 9822. First we will calculate the prime factors of 9817 and 9822.

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 9822


2 9822
3 4911
1637 1637
1

Prime factors of 9822 are 2, 3,1637. Prime factorization of 9822 in exponential form is:

9822 = 21×31×16371

Now multiplying the highest exponent prime factors to calculate the LCM of 9817 and 9822.

LCM(9817,9822) = 21×31×16371×98171
LCM(9817,9822) = 96422574

Factors of 9817

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

1, 9817

Factors of 9822

List of positive integer factors of 9822 that divides 9822 without a remainder.

1, 2, 3, 6, 1637, 3274, 4911, 9822

Least Common Multiple of 9817 and 9822 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 9822, than apply into the LCM equation.

GCF(9817,9822) = 1
LCM(9817,9822) = ( 9817 × 9822) / 1
LCM(9817,9822) = 96422574 / 1
LCM(9817,9822) = 96422574

Properties of LCM 9817 and 9822

(i) The LCM of 9822 and 9817 is associative

LCM of 9817 and 9822 = LCM of 9822 and 9817

Related Least Common Multiples of 9817

Related Least Common Multiples of 9822

Frequently Asked Questions on LCM of 9817 and 9822

1. What is the LCM of 9817 and 9822?

Answer: LCM of 9817 and 9822 is 96422574.

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 9822?

Answer: Factors of 9822 are 1, 2, 3, 6, 1637, 3274, 4911, 9822. There are 8 integers that are factors of 9822. The greatest factor of 9822 is 9822.

4. How to Find the LCM of 9817 and 9822?

Answer:

Least Common Multiple of 9817 and 9822 = 96422574

Step 1: Find the prime factorization of 9817

9817 = 9817

Step 2: Find the prime factorization of 9822

9822 = 2 x 3 x 1637

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

LCM = 96422574 = 2 x 3 x 1637 x 9817

Step 4: Therefore, the least common multiple of 9817 and 9822 is 96422574.