Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9882 and 9888 the smallest integer that is 16285536 that is divisible by both numbers.
Least Common Multiple (LCM) of 9882 and 9888 is 16285536.
LCM(9882,9888) = 16285536
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 9882 and 9888. First we will calculate the prime factors of 9882 and 9888.
Prime Factorization of 9882
2 | 9882 |
3 | 4941 |
3 | 1647 |
3 | 549 |
3 | 183 |
61 | 61 |
1 |
Prime factors of 9882 are 2, 3,61. Prime factorization of 9882 in exponential form is:
9882 = 21×34×611
Prime Factorization of 9888
2 | 9888 |
2 | 4944 |
2 | 2472 |
2 | 1236 |
2 | 618 |
3 | 309 |
103 | 103 |
1 |
Prime factors of 9888 are 2, 3,103. Prime factorization of 9888 in exponential form is:
9888 = 25×31×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 9882 and 9888.
LCM(9882,9888) = 25×34×611×1031
LCM(9882,9888) = 16285536
Factors of 9882
List of positive integer factors of 9882 that divides 9882 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882
Factors of 9888
List of positive integer factors of 9888 that divides 9888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9882 and 9888, than apply into the LCM equation.
GCF(9882,9888) = 6
LCM(9882,9888) = ( 9882 × 9888) / 6
LCM(9882,9888) = 97713216 / 6
LCM(9882,9888) = 16285536
(i) The LCM of 9888 and 9882 is associative
LCM of 9882 and 9888 = LCM of 9888 and 9882
1. What is the LCM of 9882 and 9888?
Answer: LCM of 9882 and 9888 is 16285536.
2. What are the Factors of 9882?
Answer: Factors of 9882 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882. There are 20 integers that are factors of 9882. The greatest factor of 9882 is 9882.
3. What are the Factors of 9888?
Answer: Factors of 9888 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888. There are 24 integers that are factors of 9888. The greatest factor of 9888 is 9888.
4. How to Find the LCM of 9882 and 9888?
Answer:
Least Common Multiple of 9882 and 9888 = 16285536
Step 1: Find the prime factorization of 9882
9882 = 2 x 3 x 3 x 3 x 3 x 61
Step 2: Find the prime factorization of 9888
9888 = 2 x 2 x 2 x 2 x 2 x 3 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16285536 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 61 x 103
Step 4: Therefore, the least common multiple of 9882 and 9888 is 16285536.