Free LCM Calculator determines the least common multiple (LCM) between 9 and 15 the smallest integer that is 45 that is divisible by both numbers.
Least Common Multiple of 9 and 15 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b). We need to calculate greatest common factor 9 and 15, than apply into the LCM equation.
GCF(9,15) = 3 LCM(9,15) = ( 9 × 15) / 3 LCM(9,15) = 135 / 3 LCM(9,15) = 45
Least Common Multiple (LCM) of 9 and 15 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9 and 15. First we will calculate the prime factors of 9 and 15.
Prime Factorization of 9
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 9 are 3. Prime factorization of 9 in exponential form is:
Prime Factorization of 15
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 15 are 3,5. Prime factorization of 15 in exponential form is:
Now multiplying the highest exponent prime factors to calculate the LCM of 9 and 15.
LCM(9,15) = 32×51 LCM(9,15) = 45
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
Least Common Multiple of 9 and 15 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b). We need to calculate greatest common factor 9 and 15, than apply into the LCM equation.
GCF(9,15) = 3 LCM(9,15) = ( 9 × 15) / 3 LCM(9,15) = 135 / 3 LCM(9,15) = 45
FAQ
What is the LCM of prime factorization of 9 and 15?
What are the multiples of 9 and 15?
Prime factorization of 9 and 15 is (3 × 3) = 32 and (3 × 5) = 31 × 51 respectively. LCM of 9 and 15 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 32 × 51 = 45.
