Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9862 and 9866 the smallest integer that is 48649246 that is divisible by both numbers.
Least Common Multiple (LCM) of 9862 and 9866 is 48649246.
LCM(9862,9866) = 48649246
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 9862 and 9866. First we will calculate the prime factors of 9862 and 9866.
Prime Factorization of 9862
2 | 9862 |
4931 | 4931 |
1 |
Prime factors of 9862 are 2,4931. Prime factorization of 9862 in exponential form is:
9862 = 21×49311
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 9862 and 9866.
LCM(9862,9866) = 21×49311×49331
LCM(9862,9866) = 48649246
Factors of 9862
List of positive integer factors of 9862 that divides 9862 without a remainder.
1, 2, 4931, 9862
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 9862 and 9866, than apply into the LCM equation.
GCF(9862,9866) = 2
LCM(9862,9866) = ( 9862 × 9866) / 2
LCM(9862,9866) = 97298492 / 2
LCM(9862,9866) = 48649246
(i) The LCM of 9866 and 9862 is associative
LCM of 9862 and 9866 = LCM of 9866 and 9862
1. What is the LCM of 9862 and 9866?
Answer: LCM of 9862 and 9866 is 48649246.
2. What are the Factors of 9862?
Answer: Factors of 9862 are 1, 2, 4931, 9862. There are 4 integers that are factors of 9862. The greatest factor of 9862 is 9862.
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 9862 and 9866?
Answer:
Least Common Multiple of 9862 and 9866 = 48649246
Step 1: Find the prime factorization of 9862
9862 = 2 x 4931
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 = 48649246 = 2 x 4931 x 4933
Step 4: Therefore, the least common multiple of 9862 and 9866 is 48649246.