Least Common Multiple of 9818 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 9818 and 9824 the smallest integer that is 48226016 that is divisible by both numbers.

Least Common Multiple (LCM) of 9818 and 9824 is 48226016.

LCM(9818,9824) = 48226016

LCM of 9818 and 9824

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

LCM of:
and

Least Common Multiple of 9818 and 9824

LCM of 9818 and 9824 is 48226016

Least common multiple can be found by multiplying the highest exponent prime factors of 9818 and 9824. First we will calculate the prime factors of 9818 and 9824.

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 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 9818 and 9824.

LCM(9818,9824) = 25×3071×49091
LCM(9818,9824) = 48226016

Factors of 9818

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

1, 2, 4909, 9818

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 9818 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 9818 and 9824, than apply into the LCM equation.

GCF(9818,9824) = 2
LCM(9818,9824) = ( 9818 × 9824) / 2
LCM(9818,9824) = 96452032 / 2
LCM(9818,9824) = 48226016

Properties of LCM 9818 and 9824

(i) The LCM of 9824 and 9818 is associative

LCM of 9818 and 9824 = LCM of 9824 and 9818

Related Least Common Multiples of 9818

Related Least Common Multiples of 9824

Frequently Asked Questions on LCM of 9818 and 9824

1. What is the LCM of 9818 and 9824?

Answer: LCM of 9818 and 9824 is 48226016.

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 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 9818 and 9824?

Answer:

Least Common Multiple of 9818 and 9824 = 48226016

Step 1: Find the prime factorization of 9818

9818 = 2 x 4909

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 = 48226016 = 2 x 2 x 2 x 2 x 2 x 307 x 4909

Step 4: Therefore, the least common multiple of 9818 and 9824 is 48226016.