Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9861 and 9866 the smallest integer that is 97288626 that is divisible by both numbers.
Least Common Multiple (LCM) of 9861 and 9866 is 97288626.
LCM(9861,9866) = 97288626
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 9861 and 9866. First we will calculate the prime factors of 9861 and 9866.
Prime Factorization of 9861
3 | 9861 |
19 | 3287 |
173 | 173 |
1 |
Prime factors of 9861 are 3, 19,173. Prime factorization of 9861 in exponential form is:
9861 = 31×191×1731
Prime Factorization of 9866
2 | 9866 |
4933 | 4933 |
1 |
Prime factors of 9866 are 2,4933. Prime factorization of 9866 in exponential form is:
9866 = 21×49331
Now multiplying the highest exponent prime factors to calculate the LCM of 9861 and 9866.
LCM(9861,9866) = 21×31×191×1731×49331
LCM(9861,9866) = 97288626
Factors of 9861
List of positive integer factors of 9861 that divides 9861 without a remainder.
1, 3, 19, 57, 173, 519, 3287, 9861
Factors of 9866
List of positive integer factors of 9866 that divides 9866 without a remainder.
1, 2, 4933, 9866
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9861 and 9866, than apply into the LCM equation.
GCF(9861,9866) = 1
LCM(9861,9866) = ( 9861 × 9866) / 1
LCM(9861,9866) = 97288626 / 1
LCM(9861,9866) = 97288626
(i) The LCM of 9866 and 9861 is associative
LCM of 9861 and 9866 = LCM of 9866 and 9861
1. What is the LCM of 9861 and 9866?
Answer: LCM of 9861 and 9866 is 97288626.
2. What are the Factors of 9861?
Answer: Factors of 9861 are 1, 3, 19, 57, 173, 519, 3287, 9861. There are 8 integers that are factors of 9861. The greatest factor of 9861 is 9861.
3. What are the Factors of 9866?
Answer: Factors of 9866 are 1, 2, 4933, 9866. There are 4 integers that are factors of 9866. The greatest factor of 9866 is 9866.
4. How to Find the LCM of 9861 and 9866?
Answer:
Least Common Multiple of 9861 and 9866 = 97288626
Step 1: Find the prime factorization of 9861
9861 = 3 x 19 x 173
Step 2: Find the prime factorization of 9866
9866 = 2 x 4933
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97288626 = 2 x 3 x 19 x 173 x 4933
Step 4: Therefore, the least common multiple of 9861 and 9866 is 97288626.