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 9149 the smallest integer that is 83685903 that is divisible by both numbers.
Least Common Multiple (LCM) of 9147 and 9149 is 83685903.
LCM(9147,9149) = 83685903
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 9149. First we will calculate the prime factors of 9147 and 9149.
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 9149
7 | 9149 |
1307 | 1307 |
1 |
Prime factors of 9149 are 7,1307. Prime factorization of 9149 in exponential form is:
9149 = 71×13071
Now multiplying the highest exponent prime factors to calculate the LCM of 9147 and 9149.
LCM(9147,9149) = 31×71×13071×30491
LCM(9147,9149) = 83685903
Factors of 9147
List of positive integer factors of 9147 that divides 9147 without a remainder.
1, 3, 3049, 9147
Factors of 9149
List of positive integer factors of 9149 that divides 9149 without a remainder.
1, 7, 1307, 9149
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9147 and 9149, than apply into the LCM equation.
GCF(9147,9149) = 1
LCM(9147,9149) = ( 9147 × 9149) / 1
LCM(9147,9149) = 83685903 / 1
LCM(9147,9149) = 83685903
(i) The LCM of 9149 and 9147 is associative
LCM of 9147 and 9149 = LCM of 9149 and 9147
1. What is the LCM of 9147 and 9149?
Answer: LCM of 9147 and 9149 is 83685903.
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 9149?
Answer: Factors of 9149 are 1, 7, 1307, 9149. There are 4 integers that are factors of 9149. The greatest factor of 9149 is 9149.
4. How to Find the LCM of 9147 and 9149?
Answer:
Least Common Multiple of 9147 and 9149 = 83685903
Step 1: Find the prime factorization of 9147
9147 = 3 x 3049
Step 2: Find the prime factorization of 9149
9149 = 7 x 1307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83685903 = 3 x 7 x 1307 x 3049
Step 4: Therefore, the least common multiple of 9147 and 9149 is 83685903.