Least Common Multiple of 9814 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 9814 and 9822 the smallest integer that is 48196554 that is divisible by both numbers.

Least Common Multiple (LCM) of 9814 and 9822 is 48196554.

LCM(9814,9822) = 48196554

LCM of 9814 and 9822

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

LCM of:
and

Least Common Multiple of 9814 and 9822

LCM of 9814 and 9822 is 48196554

Least common multiple can be found by multiplying the highest exponent prime factors of 9814 and 9822. First we will calculate the prime factors of 9814 and 9822.

Prime Factorization of 9814


2 9814
7 4907
701 701
1

Prime factors of 9814 are 2, 7,701. Prime factorization of 9814 in exponential form is:

9814 = 21×71×7011

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 9814 and 9822.

LCM(9814,9822) = 21×31×71×7011×16371
LCM(9814,9822) = 48196554

Factors of 9814

List of positive integer factors of 9814 that divides 9814 without a remainder.

1, 2, 7, 14, 701, 1402, 4907, 9814

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 9814 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 9814 and 9822, than apply into the LCM equation.

GCF(9814,9822) = 2
LCM(9814,9822) = ( 9814 × 9822) / 2
LCM(9814,9822) = 96393108 / 2
LCM(9814,9822) = 48196554

Properties of LCM 9814 and 9822

(i) The LCM of 9822 and 9814 is associative

LCM of 9814 and 9822 = LCM of 9822 and 9814

Related Least Common Multiples of 9814

Related Least Common Multiples of 9822

Frequently Asked Questions on LCM of 9814 and 9822

1. What is the LCM of 9814 and 9822?

Answer: LCM of 9814 and 9822 is 48196554.

2. What are the Factors of 9814?

Answer: Factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814. There are 8 integers that are factors of 9814. The greatest factor of 9814 is 9814.

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 9814 and 9822?

Answer:

Least Common Multiple of 9814 and 9822 = 48196554

Step 1: Find the prime factorization of 9814

9814 = 2 x 7 x 701

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 = 48196554 = 2 x 3 x 7 x 701 x 1637

Step 4: Therefore, the least common multiple of 9814 and 9822 is 48196554.