# Lcm Of 9 And 15

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.

45

## 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?

Therefore, the GCF of 9 and 15 is 3. Example 3: Find the GCF of 9 and 15, if their LCM is 45. Therefore, the greatest common factor of 9 and 15 is 3.

What are the multiples of 9 and 15?

LCM of 9 and 15 by Prime Factorization

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.