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 9811 the smallest integer that is 96206666 that is divisible by both numbers.
Least Common Multiple (LCM) of 9806 and 9811 is 96206666.
LCM(9806,9811) = 96206666
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9806 and 9811. First we will calculate the prime factors of 9806 and 9811.
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 9811
9811 | 9811 |
1 |
Prime factors of 9811 are 9811. Prime factorization of 9811 in exponential form is:
9811 = 98111
Now multiplying the highest exponent prime factors to calculate the LCM of 9806 and 9811.
LCM(9806,9811) = 21×49031×98111
LCM(9806,9811) = 96206666
Factors of 9806
List of positive integer factors of 9806 that divides 9806 without a remainder.
1, 2, 4903, 9806
Factors of 9811
List of positive integer factors of 9811 that divides 9811 without a remainder.
1, 9811
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9806 and 9811, than apply into the LCM equation.
GCF(9806,9811) = 1
LCM(9806,9811) = ( 9806 × 9811) / 1
LCM(9806,9811) = 96206666 / 1
LCM(9806,9811) = 96206666
(i) The LCM of 9811 and 9806 is associative
LCM of 9806 and 9811 = LCM of 9811 and 9806
1. What is the LCM of 9806 and 9811?
Answer: LCM of 9806 and 9811 is 96206666.
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 9811?
Answer: Factors of 9811 are 1, 9811. There are 2 integers that are factors of 9811. The greatest factor of 9811 is 9811.
4. How to Find the LCM of 9806 and 9811?
Answer:
Least Common Multiple of 9806 and 9811 = 96206666
Step 1: Find the prime factorization of 9806
9806 = 2 x 4903
Step 2: Find the prime factorization of 9811
9811 = 9811
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96206666 = 2 x 4903 x 9811
Step 4: Therefore, the least common multiple of 9806 and 9811 is 96206666.