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 9807 the smallest integer that is 96167442 that is divisible by both numbers.
Least Common Multiple (LCM) of 9806 and 9807 is 96167442.
LCM(9806,9807) = 96167442
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 9807. First we will calculate the prime factors of 9806 and 9807.
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 9807
3 | 9807 |
7 | 3269 |
467 | 467 |
1 |
Prime factors of 9807 are 3, 7,467. Prime factorization of 9807 in exponential form is:
9807 = 31×71×4671
Now multiplying the highest exponent prime factors to calculate the LCM of 9806 and 9807.
LCM(9806,9807) = 21×31×71×4671×49031
LCM(9806,9807) = 96167442
Factors of 9806
List of positive integer factors of 9806 that divides 9806 without a remainder.
1, 2, 4903, 9806
Factors of 9807
List of positive integer factors of 9807 that divides 9807 without a remainder.
1, 3, 7, 21, 467, 1401, 3269, 9807
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9806 and 9807, than apply into the LCM equation.
GCF(9806,9807) = 1
LCM(9806,9807) = ( 9806 × 9807) / 1
LCM(9806,9807) = 96167442 / 1
LCM(9806,9807) = 96167442
(i) The LCM of 9807 and 9806 is associative
LCM of 9806 and 9807 = LCM of 9807 and 9806
1. What is the LCM of 9806 and 9807?
Answer: LCM of 9806 and 9807 is 96167442.
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 9807?
Answer: Factors of 9807 are 1, 3, 7, 21, 467, 1401, 3269, 9807. There are 8 integers that are factors of 9807. The greatest factor of 9807 is 9807.
4. How to Find the LCM of 9806 and 9807?
Answer:
Least Common Multiple of 9806 and 9807 = 96167442
Step 1: Find the prime factorization of 9806
9806 = 2 x 4903
Step 2: Find the prime factorization of 9807
9807 = 3 x 7 x 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96167442 = 2 x 3 x 7 x 467 x 4903
Step 4: Therefore, the least common multiple of 9806 and 9807 is 96167442.