Least Common Multiple of 9816 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 9816 and 9822 the smallest integer that is 16068792 that is divisible by both numbers.

Least Common Multiple (LCM) of 9816 and 9822 is 16068792.

LCM(9816,9822) = 16068792

LCM of 9816 and 9822

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

LCM of:
and

Least Common Multiple of 9816 and 9822

LCM of 9816 and 9822 is 16068792

Least common multiple can be found by multiplying the highest exponent prime factors of 9816 and 9822. First we will calculate the prime factors of 9816 and 9822.

Prime Factorization of 9816


2 9816
2 4908
2 2454
3 1227
409 409
1

Prime factors of 9816 are 2, 3,409. Prime factorization of 9816 in exponential form is:

9816 = 23×31×4091

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 9816 and 9822.

LCM(9816,9822) = 23×31×4091×16371
LCM(9816,9822) = 16068792

Factors of 9816

List of positive integer factors of 9816 that divides 9816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 409, 818, 1227, 1636, 2454, 3272, 4908, 9816

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 9816 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 9816 and 9822, than apply into the LCM equation.

GCF(9816,9822) = 6
LCM(9816,9822) = ( 9816 × 9822) / 6
LCM(9816,9822) = 96412752 / 6
LCM(9816,9822) = 16068792

Properties of LCM 9816 and 9822

(i) The LCM of 9822 and 9816 is associative

LCM of 9816 and 9822 = LCM of 9822 and 9816

Related Least Common Multiples of 9816

Related Least Common Multiples of 9822

Frequently Asked Questions on LCM of 9816 and 9822

1. What is the LCM of 9816 and 9822?

Answer: LCM of 9816 and 9822 is 16068792.

2. What are the Factors of 9816?

Answer: Factors of 9816 are 1, 2, 3, 4, 6, 8, 12, 24, 409, 818, 1227, 1636, 2454, 3272, 4908, 9816. There are 16 integers that are factors of 9816. The greatest factor of 9816 is 9816.

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 9816 and 9822?

Answer:

Least Common Multiple of 9816 and 9822 = 16068792

Step 1: Find the prime factorization of 9816

9816 = 2 x 2 x 2 x 3 x 409

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 = 16068792 = 2 x 2 x 2 x 3 x 409 x 1637

Step 4: Therefore, the least common multiple of 9816 and 9822 is 16068792.