Least Common Multiple of 9818 and 9826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9818 and 9826 the smallest integer that is 48235834 that is divisible by both numbers.

Least Common Multiple (LCM) of 9818 and 9826 is 48235834.

LCM(9818,9826) = 48235834

LCM of 9818 and 9826

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

LCM of:
and

Least Common Multiple of 9818 and 9826

LCM of 9818 and 9826 is 48235834

Least common multiple can be found by multiplying the highest exponent prime factors of 9818 and 9826. First we will calculate the prime factors of 9818 and 9826.

Prime Factorization of 9818


2 9818
4909 4909
1

Prime factors of 9818 are 2,4909. Prime factorization of 9818 in exponential form is:

9818 = 21×49091

Prime Factorization of 9826


2 9826
17 4913
17 289
17 17
1

Prime factors of 9826 are 2,17. Prime factorization of 9826 in exponential form is:

9826 = 21×173

Now multiplying the highest exponent prime factors to calculate the LCM of 9818 and 9826.

LCM(9818,9826) = 21×173×49091
LCM(9818,9826) = 48235834

Factors of 9818

List of positive integer factors of 9818 that divides 9818 without a remainder.

1, 2, 4909, 9818

Factors of 9826

List of positive integer factors of 9826 that divides 9826 without a remainder.

1, 2, 17, 34, 289, 578, 4913, 9826

Least Common Multiple of 9818 and 9826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9818 and 9826, than apply into the LCM equation.

GCF(9818,9826) = 2
LCM(9818,9826) = ( 9818 × 9826) / 2
LCM(9818,9826) = 96471668 / 2
LCM(9818,9826) = 48235834

Properties of LCM 9818 and 9826

(i) The LCM of 9826 and 9818 is associative

LCM of 9818 and 9826 = LCM of 9826 and 9818

Related Least Common Multiples of 9818

Related Least Common Multiples of 9826

Frequently Asked Questions on LCM of 9818 and 9826

1. What is the LCM of 9818 and 9826?

Answer: LCM of 9818 and 9826 is 48235834.

2. What are the Factors of 9818?

Answer: Factors of 9818 are 1, 2, 4909, 9818. There are 4 integers that are factors of 9818. The greatest factor of 9818 is 9818.

3. What are the Factors of 9826?

Answer: Factors of 9826 are 1, 2, 17, 34, 289, 578, 4913, 9826. There are 8 integers that are factors of 9826. The greatest factor of 9826 is 9826.

4. How to Find the LCM of 9818 and 9826?

Answer:

Least Common Multiple of 9818 and 9826 = 48235834

Step 1: Find the prime factorization of 9818

9818 = 2 x 4909

Step 2: Find the prime factorization of 9826

9826 = 2 x 17 x 17 x 17

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

LCM = 48235834 = 2 x 17 x 17 x 17 x 4909

Step 4: Therefore, the least common multiple of 9818 and 9826 is 48235834.