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 9812 the smallest integer that is 48108236 that is divisible by both numbers.
Least Common Multiple (LCM) of 9806 and 9812 is 48108236.
LCM(9806,9812) = 48108236
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 9812. First we will calculate the prime factors of 9806 and 9812.
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 9812
2 | 9812 |
2 | 4906 |
11 | 2453 |
223 | 223 |
1 |
Prime factors of 9812 are 2, 11,223. Prime factorization of 9812 in exponential form is:
9812 = 22×111×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 9806 and 9812.
LCM(9806,9812) = 22×111×2231×49031
LCM(9806,9812) = 48108236
Factors of 9806
List of positive integer factors of 9806 that divides 9806 without a remainder.
1, 2, 4903, 9806
Factors of 9812
List of positive integer factors of 9812 that divides 9812 without a remainder.
1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9806 and 9812, than apply into the LCM equation.
GCF(9806,9812) = 2
LCM(9806,9812) = ( 9806 × 9812) / 2
LCM(9806,9812) = 96216472 / 2
LCM(9806,9812) = 48108236
(i) The LCM of 9812 and 9806 is associative
LCM of 9806 and 9812 = LCM of 9812 and 9806
1. What is the LCM of 9806 and 9812?
Answer: LCM of 9806 and 9812 is 48108236.
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 9812?
Answer: Factors of 9812 are 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812. There are 12 integers that are factors of 9812. The greatest factor of 9812 is 9812.
4. How to Find the LCM of 9806 and 9812?
Answer:
Least Common Multiple of 9806 and 9812 = 48108236
Step 1: Find the prime factorization of 9806
9806 = 2 x 4903
Step 2: Find the prime factorization of 9812
9812 = 2 x 2 x 11 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48108236 = 2 x 2 x 11 x 223 x 4903
Step 4: Therefore, the least common multiple of 9806 and 9812 is 48108236.