Least Common Multiple of 9814 and 9818

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 9818 the smallest integer that is 48176926 that is divisible by both numbers.

Least Common Multiple (LCM) of 9814 and 9818 is 48176926.

LCM(9814,9818) = 48176926

LCM of 9814 and 9818

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

LCM of:
and

Least Common Multiple of 9814 and 9818

LCM of 9814 and 9818 is 48176926

Least common multiple can be found by multiplying the highest exponent prime factors of 9814 and 9818. First we will calculate the prime factors of 9814 and 9818.

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 9818


2 9818
4909 4909
1

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

9818 = 21×49091

Now multiplying the highest exponent prime factors to calculate the LCM of 9814 and 9818.

LCM(9814,9818) = 21×71×7011×49091
LCM(9814,9818) = 48176926

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 9818

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

1, 2, 4909, 9818

Least Common Multiple of 9814 and 9818 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 9818, than apply into the LCM equation.

GCF(9814,9818) = 2
LCM(9814,9818) = ( 9814 × 9818) / 2
LCM(9814,9818) = 96353852 / 2
LCM(9814,9818) = 48176926

Properties of LCM 9814 and 9818

(i) The LCM of 9818 and 9814 is associative

LCM of 9814 and 9818 = LCM of 9818 and 9814

Related Least Common Multiples of 9814

Related Least Common Multiples of 9818

Frequently Asked Questions on LCM of 9814 and 9818

1. What is the LCM of 9814 and 9818?

Answer: LCM of 9814 and 9818 is 48176926.

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 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.

4. How to Find the LCM of 9814 and 9818?

Answer:

Least Common Multiple of 9814 and 9818 = 48176926

Step 1: Find the prime factorization of 9814

9814 = 2 x 7 x 701

Step 2: Find the prime factorization of 9818

9818 = 2 x 4909

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

LCM = 48176926 = 2 x 7 x 701 x 4909

Step 4: Therefore, the least common multiple of 9814 and 9818 is 48176926.