Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9147 and 9148 the smallest integer that is 83676756 that is divisible by both numbers.
Least Common Multiple (LCM) of 9147 and 9148 is 83676756.
LCM(9147,9148) = 83676756
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 9147 and 9148. First we will calculate the prime factors of 9147 and 9148.
Prime Factorization of 9147
3 | 9147 |
3049 | 3049 |
1 |
Prime factors of 9147 are 3,3049. Prime factorization of 9147 in exponential form is:
9147 = 31×30491
Prime Factorization of 9148
2 | 9148 |
2 | 4574 |
2287 | 2287 |
1 |
Prime factors of 9148 are 2,2287. Prime factorization of 9148 in exponential form is:
9148 = 22×22871
Now multiplying the highest exponent prime factors to calculate the LCM of 9147 and 9148.
LCM(9147,9148) = 22×31×22871×30491
LCM(9147,9148) = 83676756
Factors of 9147
List of positive integer factors of 9147 that divides 9147 without a remainder.
1, 3, 3049, 9147
Factors of 9148
List of positive integer factors of 9148 that divides 9148 without a remainder.
1, 2, 4, 2287, 4574, 9148
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9147 and 9148, than apply into the LCM equation.
GCF(9147,9148) = 1
LCM(9147,9148) = ( 9147 × 9148) / 1
LCM(9147,9148) = 83676756 / 1
LCM(9147,9148) = 83676756
(i) The LCM of 9148 and 9147 is associative
LCM of 9147 and 9148 = LCM of 9148 and 9147
1. What is the LCM of 9147 and 9148?
Answer: LCM of 9147 and 9148 is 83676756.
2. What are the Factors of 9147?
Answer: Factors of 9147 are 1, 3, 3049, 9147. There are 4 integers that are factors of 9147. The greatest factor of 9147 is 9147.
3. What are the Factors of 9148?
Answer: Factors of 9148 are 1, 2, 4, 2287, 4574, 9148. There are 6 integers that are factors of 9148. The greatest factor of 9148 is 9148.
4. How to Find the LCM of 9147 and 9148?
Answer:
Least Common Multiple of 9147 and 9148 = 83676756
Step 1: Find the prime factorization of 9147
9147 = 3 x 3049
Step 2: Find the prime factorization of 9148
9148 = 2 x 2 x 2287
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83676756 = 2 x 2 x 3 x 2287 x 3049
Step 4: Therefore, the least common multiple of 9147 and 9148 is 83676756.