Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9811 and 9812 the smallest integer that is 96265532 that is divisible by both numbers.
Least Common Multiple (LCM) of 9811 and 9812 is 96265532.
LCM(9811,9812) = 96265532
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 9811 and 9812. First we will calculate the prime factors of 9811 and 9812.
Prime Factorization of 9811
9811 | 9811 |
1 |
Prime factors of 9811 are 9811. Prime factorization of 9811 in exponential form is:
9811 = 98111
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 9811 and 9812.
LCM(9811,9812) = 22×111×2231×98111
LCM(9811,9812) = 96265532
Factors of 9811
List of positive integer factors of 9811 that divides 9811 without a remainder.
1, 9811
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 9811 and 9812, than apply into the LCM equation.
GCF(9811,9812) = 1
LCM(9811,9812) = ( 9811 × 9812) / 1
LCM(9811,9812) = 96265532 / 1
LCM(9811,9812) = 96265532
(i) The LCM of 9812 and 9811 is associative
LCM of 9811 and 9812 = LCM of 9812 and 9811
1. What is the LCM of 9811 and 9812?
Answer: LCM of 9811 and 9812 is 96265532.
2. 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.
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 9811 and 9812?
Answer:
Least Common Multiple of 9811 and 9812 = 96265532
Step 1: Find the prime factorization of 9811
9811 = 9811
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 = 96265532 = 2 x 2 x 11 x 223 x 9811
Step 4: Therefore, the least common multiple of 9811 and 9812 is 96265532.