Least Common Multiple of 9806 and 9814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9806 and 9814 the smallest integer that is 48118042 that is divisible by both numbers.

Least Common Multiple (LCM) of 9806 and 9814 is 48118042.

LCM(9806,9814) = 48118042

LCM of 9806 and 9814

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

LCM of:
and

Least Common Multiple of 9806 and 9814

LCM of 9806 and 9814 is 48118042

Least common multiple can be found by multiplying the highest exponent prime factors of 9806 and 9814. First we will calculate the prime factors of 9806 and 9814.

Prime Factorization of 9806


2 9806
4903 4903
1

Prime factors of 9806 are 2,4903. Prime factorization of 9806 in exponential form is:

9806 = 21×49031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9806 and 9814.

LCM(9806,9814) = 21×71×7011×49031
LCM(9806,9814) = 48118042

Factors of 9806

List of positive integer factors of 9806 that divides 9806 without a remainder.

1, 2, 4903, 9806

Factors of 9814

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

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

Least Common Multiple of 9806 and 9814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9806 and 9814, than apply into the LCM equation.

GCF(9806,9814) = 2
LCM(9806,9814) = ( 9806 × 9814) / 2
LCM(9806,9814) = 96236084 / 2
LCM(9806,9814) = 48118042

Properties of LCM 9806 and 9814

(i) The LCM of 9814 and 9806 is associative

LCM of 9806 and 9814 = LCM of 9814 and 9806

Related Least Common Multiples of 9806

Related Least Common Multiples of 9814

Frequently Asked Questions on LCM of 9806 and 9814

1. What is the LCM of 9806 and 9814?

Answer: LCM of 9806 and 9814 is 48118042.

2. What are the Factors of 9806?

Answer: Factors of 9806 are 1, 2, 4903, 9806. There are 4 integers that are factors of 9806. The greatest factor of 9806 is 9806.

3. 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.

4. How to Find the LCM of 9806 and 9814?

Answer:

Least Common Multiple of 9806 and 9814 = 48118042

Step 1: Find the prime factorization of 9806

9806 = 2 x 4903

Step 2: Find the prime factorization of 9814

9814 = 2 x 7 x 701

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

LCM = 48118042 = 2 x 7 x 701 x 4903

Step 4: Therefore, the least common multiple of 9806 and 9814 is 48118042.