Least Common Multiple of 9102 and 9107
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9102 and 9107 the smallest integer that is 82891914 that is divisible by both numbers.
Least Common Multiple (LCM) of 9102 and 9107 is 82891914.
LCM(9102,9107) = 82891914
LCM of 9102 and 9107
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9102 and 9107 by Prime method
- Least Common Multiple of 9102 and 9107 with GCF Formula
LCM of 9102 and 9107 is 82891914
Least common multiple can be found by multiplying the highest exponent prime factors of 9102 and 9107. First we will calculate the prime factors of 9102 and 9107.
Prime Factorization of 9102
| 2 | 9102 |
| 3 | 4551 |
| 37 | 1517 |
| 41 | 41 |
| 1 |
Prime factors of 9102 are 2, 3, 37,41. Prime factorization of 9102 in exponential form is:
9102 = 21×31×371×411
Prime Factorization of 9107
| 7 | 9107 |
| 1301 | 1301 |
| 1 |
Prime factors of 9107 are 7,1301. Prime factorization of 9107 in exponential form is:
9107 = 71×13011
Now multiplying the highest exponent prime factors to calculate the LCM of 9102 and 9107.
LCM(9102,9107) = 21×31×71×371×411×13011
LCM(9102,9107) = 82891914
Factors of 9102
List of positive integer factors of 9102 that divides 9102 without a remainder.
1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551, 9102
Factors of 9107
List of positive integer factors of 9107 that divides 9107 without a remainder.
1, 7, 1301, 9107
Least Common Multiple of 9102 and 9107 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9102 and 9107, than apply into the LCM equation.
GCF(9102,9107) = 1
LCM(9102,9107) = ( 9102 × 9107) / 1
LCM(9102,9107) = 82891914 / 1
LCM(9102,9107) = 82891914
Properties of LCM 9102 and 9107
(i) The LCM of 9107 and 9102 is associative
LCM of 9102 and 9107 = LCM of 9107 and 9102
Related Least Common Multiples of 9102
Related Least Common Multiples of 9107
Frequently Asked Questions on LCM of 9102 and 9107
1. What is the LCM of 9102 and 9107?
Answer: LCM of 9102 and 9107 is 82891914.
2. What are the Factors of 9102?
Answer: Factors of 9102 are 1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551, 9102. There are 16 integers that are factors of 9102. The greatest factor of 9102 is 9102.
3. What are the Factors of 9107?
Answer: Factors of 9107 are 1, 7, 1301, 9107. There are 4 integers that are factors of 9107. The greatest factor of 9107 is 9107.
4. How to Find the LCM of 9102 and 9107?
Answer:
Least Common Multiple of 9102 and 9107 = 82891914
Step 1: Find the prime factorization of 9102
9102 = 2 x 3 x 37 x 41
Step 2: Find the prime factorization of 9107
9107 = 7 x 1301
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 82891914 = 2 x 3 x 7 x 37 x 41 x 1301
Step 4: Therefore, the least common multiple of 9102 and 9107 is 82891914.